Created
December 4, 2013 03:52
-
-
Save hardywu/7782059 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| % These are examples of Feynman Diagrams using TikZ | |
| % Author: Flip Tanedo, 2010. pt267@cornell.edu | |
| \documentclass[12pt]{article} % Why do I use such a boring document clas? | |
| % THE USUAL PACKAGES | |
| \usepackage{amsmath,amssymb,amsfonts} % DON'T use cite, screws with bibtex + hyperref | |
| \usepackage{color} | |
| \usepackage{amsmath} | |
| \usepackage{amsfonts} | |
| \usepackage{amssymb} | |
| \usepackage{graphicx} | |
| \usepackage{slashed} % for slashed characters in math mode | |
| \usepackage{bbm} % for \mathbbm{1} (unit matrix) | |
| \usepackage{xspace} % For spacing after commands | |
| \setcounter{MaxMatrixCols}{30} | |
| \numberwithin{equation}{section} \setlength{\textwidth}{17.5cm} | |
| \setlength{\textheight}{22.5cm} \setlength{\oddsidemargin}{-0.5cm} | |
| \setlength{\evensidemargin}{1cm} \setlength{\headheight}{0cm} | |
| \setlength{\headsep}{0cm} \setlength{\topmargin}{0cm} | |
| \setlength{\footskip}{1.5cm} \baselineskip 0.6cm | |
| % TIKZ - for drawing Feynman diagrams | |
| % ... use with pdflatex | |
| \usepackage{tikz} | |
| \usetikzlibrary{arrows,shapes} | |
| \usetikzlibrary{trees} | |
| \usetikzlibrary{matrix,arrows} % For commutative diagram | |
| % http://www.felixl.de/commu.pdf | |
| \usetikzlibrary{positioning} % For "above of=" commands | |
| \usetikzlibrary{calc,through} % For coordinates | |
| \usetikzlibrary{decorations.pathreplacing} % For curly braces | |
| % http://www.math.ucla.edu/~getreuer/tikz.html | |
| \usepackage{pgffor} % For repeating patterns | |
| \usetikzlibrary{decorations.pathmorphing} % For Feynman Diagrams | |
| \usetikzlibrary{decorations.markings} | |
| \tikzset{ | |
| % >=stealth', %% Uncomment for more conventional arrows | |
| vector/.style={decorate, decoration={snake}, draw}, | |
| provector/.style={decorate, decoration={snake,amplitude=2.5pt}, draw}, | |
| antivector/.style={decorate, decoration={snake,amplitude=-2.5pt}, draw}, | |
| fermion/.style={draw=black, postaction={decorate}, | |
| decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, | |
| fermionbar/.style={draw=black, postaction={decorate}, | |
| decoration={markings,mark=at position .55 with {\arrow[draw=black]{<}}}}, | |
| fermionnoarrow/.style={draw=black}, | |
| gluon/.style={decorate, draw=black, | |
| decoration={coil,amplitude=4pt, segment length=5pt}}, | |
| scalar/.style={dashed,draw=black, postaction={decorate}, | |
| decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, | |
| scalarbar/.style={dashed,draw=black, postaction={decorate}, | |
| decoration={markings,mark=at position .55 with {\arrow[draw=black]{<}}}}, | |
| scalarnoarrow/.style={dashed,draw=black}, | |
| electron/.style={draw=black, postaction={decorate}, | |
| decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, | |
| bigvector/.style={decorate, decoration={snake,amplitude=4pt}, draw}, | |
| } | |
| % TIKZ - for block diagrams, | |
| % from http://www.texample.net/tikz/examples/control-system-principles/ | |
| % \usetikzlibrary{shapes,arrows} | |
| \tikzstyle{block} = [draw, rectangle, | |
| minimum height=3em, minimum width=6em] | |
| \usepackage{hyperref} % Has to be at the end. | |
| \begin{document} | |
| \begin{titlepage} | |
| \begin{flushright} | |
| \end{flushright} | |
| \begin{center} | |
| {\huge\bf Feynman Diagrams}\\ | |
| {\Large \bf via TikZ} | |
| \medskip | |
| \bigskip\color{black}\vspace{0.6cm} | |
| { | |
| {\large\bf | |
| Flip Tanedo} | |
| %% E.g.: | |
| % {\large\bf Brando Bellazzini$^{a,b}$, Csaba Cs\'aki$^a$,\\[3mm] Antonio Delgado$^c$, and Andreas Weiler$^{a,d}$} | |
| } | |
| \\[7mm] | |
| {\it Institute for High Energy Phenomenology,\\ Newman Laboratory of Elementary Particle Physics,\\ | |
| Cornell University, Ithaca, NY 14853, USA} | |
| %% E.g. for multiple: | |
| % {\it $^a$ Institute for High Energy Phenomenology,\\ Newman Laboratory of Elementary Particle Physics,\\ | |
| % Cornell University, Ithaca, NY 14853, USA} \\ | |
| % \vspace*{0.3cm} | |
| % {\it $^b$ INFN, Sezione di Pisa, Largo Pontecorvo 3, 56127, Pisa, | |
| % Italy} | |
| % \\ | |
| % \vspace*{0.3cm} | |
| % {\it $^c$ Department of Physics, University of Notre Dame, Indiana 46556, USA} \\ | |
| % \vspace*{0.3cm} | |
| % {\it $^d$ CERN Theory Division, CH-1211 Geneva 23, Switzerland} | |
| \\ | |
| \vspace*{0.3cm} | |
| {\it E-mail: \rm{ | |
| \href{mailto:pt267@cornell.edu}{pt267@cornell.edu}}} | |
| \bigskip | |
| {\large \textbf{This version:} \today} | |
| \bigskip\bigskip | |
| { | |
| \centerline{\large\bf Abstract} | |
| \begin{quote} | |
| These are sample Feynman diagrams. | |
| \end{quote}} | |
| \end{center} | |
| \bigskip\bigskip | |
| \setcounter{tocdepth}{2} | |
| \tableofcontents | |
| \end{titlepage} | |
| \section{QED} | |
| \vspace{2em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \node at (180:1.2) {$\gamma$}; | |
| \draw[fermion] (3,.5)--(5,.5); | |
| \draw[vector] (3,-.5)--(5,-.5); | |
| \node at (4, .8) {$e$}; | |
| \node at (4, -.2) {$\gamma$}; | |
| \end{tikzpicture} | |
| \vspace{2em} | |
| % | |
| % \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| % \begin{scope}[shift={(0,.75)}] | |
| % \draw[fermion](0,-2) -- (1,-1.75); | |
| % \draw[fermion](1,-1.75) -- (2,- 1.5); | |
| % \draw[fermion](2,-1.5) -- (3,-1.25); | |
| % \draw[fermion](3,-1.25) -- (4,-1); | |
| % \draw[vector](1,-1.75) -- (2,- 2.2); | |
| % % \draw[vector](2,-1.5) -- (3,-1.95); | |
| % \draw[vector](3,-1.25) -- (4,-1.7); | |
| % \end{scope} | |
| % \begin{scope}[shift={(0,-.75)}] | |
| % \draw[fermionbar](0,2) -- (1,1.75); | |
| % \draw[fermionbar](1,1.75) -- (2,1.5); | |
| % \draw[fermionbar](2,1.5) -- (3,1.25); | |
| % \draw[fermionbar](3,1.25) -- (4,1); | |
| % \draw[vector](1,1.75) -- (2,2.2); | |
| % % \draw[vector](2,1.5) -- (3,1.95); | |
| % \draw[vector](3,1.25) -- (4,1.7); | |
| % \end{scope} | |
| % \draw[vector](2,-.75) -- (2,.75); | |
| % \end{tikzpicture} | |
| % | |
| % \vspace{2em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[vector] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[fermion] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\gamma$}; | |
| \node at (40:1.2) {$e$}; | |
| \node at (180:1.2) {$e$}; | |
| \begin{scope}[shift={(3,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[vector] (40:1)--(0,0); | |
| \draw[fermionbar] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$\gamma$}; | |
| \node at (180:1.2) {$e$}; | |
| \end{scope} | |
| \begin{scope}[shift={(6,0)}] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[fermionbar] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (0:1.2) {$e$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \node at (0:1.2) {$\gamma$}; | |
| \begin{scope}[shift={(4,0)}] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[vector] (140:1)--(0,0); | |
| \draw[fermionbar] (180:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$\gamma$}; | |
| \node at (180:1.2) {$e$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermionbar] (-140:1)--(0,0); | |
| \draw[fermion] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \begin{scope}[shift={(4,-.5)}] | |
| \begin{scope}[rotate=90] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[fermionbar] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermionbar] (-40:1)--(0,0); | |
| \draw[fermion] (40:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \end{scope} | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{2em} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[fermionbar] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| % \node at (.5,.3) {$\gamma$}; | |
| \draw[fermion] (1,0) arc (180:0:.5); | |
| \draw[fermion] (2,0) arc (0:-180:.5); | |
| \draw[vector] (2,0) --(3,0); | |
| % \node at (2.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(3,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermionbar] (0:1)--(0,0); | |
| % \node at (-140:1.2) {$e$}; | |
| % \node at (140:1.2) {$e$}; | |
| % \node at (.5,.3) {$\gamma$}; | |
| \draw[vector] (1,0) arc (180:0:.5); | |
| \draw[fermionbar] (2,0) arc (0:-180:.5); | |
| \draw[fermion] (2,0) --(3,0); | |
| % \node at (2.5,.3) {$\gamma$}; | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[vector] (0:1)--(0,0); | |
| \draw[fermion] (1,0) arc (180:0:.5); | |
| \draw[fermion] (2,0) arc (0:-180:.5); | |
| \draw[vector] (2,0) --(3,0); | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \begin{scope}[rotate=90] | |
| \draw[fermionbar] (1.5,-1)--(0,0); | |
| \draw[fermion] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (1.7,-1) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(1,0)}] | |
| % \draw[fermionbar] (-1.5,-1)--(0,0); | |
| \draw[fermionnoarrow] (-.4,-.26)--(0,0); | |
| \draw[fermion] (-.6,-.39)--(-1.5,-1); | |
| \draw[fermion] (40:1)--(0,0); %top left | |
| \node at (-1.7,-1) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \end{scope} | |
| \begin{scope}[shift={(4,0)}] | |
| \begin{scope}[rotate=90] | |
| \draw[fermionbar] (-140:1)--(0,0); | |
| \draw[fermion] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermionbar] (-40:1)--(0,0); | |
| \draw[fermion] (40:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \end{scope} | |
| \end{scope} | |
| \end{tikzpicture} | |
| \section{QED+$\mu$} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (0,.7)--(2,.7); | |
| \draw[fermion] (0,.0)--(2,.0); | |
| \draw[vector] (0,-.7)--(2,-.7); | |
| \node at (1, 1) {$e$}; | |
| \node at (1, 0.3) {$\mu$}; | |
| \node at (1, -.4) {$\gamma$}; | |
| % | |
| \begin{scope}[shift={(4,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \node at (180:1.2) {$\gamma$}; | |
| \end{scope} | |
| \begin{scope}[shift={(7,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\mu$}; | |
| \node at (180:1.2) {$\gamma$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| Electrons to muons | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermionbar] (-140:1)--(0,0); | |
| \draw[fermion] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\mu$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[vector] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[fermion] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\gamma$}; | |
| \node at (40:1.2) {$\mu$}; | |
| \node at (180:1.2) {$\mu$}; | |
| \begin{scope}[shift={(3,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[vector] (40:1)--(0,0); | |
| \draw[fermionbar] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\gamma$}; | |
| \node at (180:1.2) {$\mu$}; | |
| \end{scope} | |
| \begin{scope}[shift={(6,0)}] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[fermionbar] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$\mu$}; | |
| \node at (140:1.2) {$\mu$}; | |
| \node at (0:1.2) {$\gamma$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\mu$}; | |
| \node at (0:1.2) {$\gamma$}; | |
| \begin{scope}[shift={(4,0)}] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[vector] (140:1)--(0,0); | |
| \draw[fermionbar] (180:1)--(0,0); | |
| \node at (-140:1.2) {$\mu$}; | |
| \node at (140:1.2) {$\gamma$}; | |
| \node at (180:1.2) {$\mu$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \section{QED+$Z$+$\mu$} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (0,.5)--(2,.5); | |
| \draw[vector] (0,-.5)--(2,-.5); | |
| \node at (1, .8) {$e$}; | |
| \node at (1, -.2) {$\gamma$}; | |
| % | |
| \draw[fermion] (3,.5)--(5,.5); | |
| \draw[vector] (3,-.5)--(5,-.5); | |
| \node at (4, .8) {$\mu$}; | |
| \node at (4, -.2) {$Z$}; | |
| % | |
| \begin{scope}[shift={(7,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \node at (180:1.4) {$\gamma, Z$}; | |
| \end{scope} | |
| \begin{scope}[shift={(10,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\mu$}; | |
| \node at (180:1.4) {$\gamma, Z$}; | |
| \end{scope}\end{tikzpicture} | |
| % \begin{scope}[shift={(220:1)}] | |
| % \draw (125:.1) -- (-55:.1); | |
| % \draw (55:.1) -- (-125:.1); | |
| % \end{scope} | |
| \vspace{1cm} | |
| Electrons to muons via $Z$ | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermionbar] (-140:1)--(0,0); | |
| \draw[fermion] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$Z$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\mu$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \begin{scope}[rotate=90] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[fermionbar] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$\gamma$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermionbar] (-40:1)--(0,0); | |
| \draw[fermion] (40:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \end{scope} | |
| \begin{scope}[shift={(4,0)}] | |
| \begin{scope}[rotate=90] | |
| \draw[fermion] (-140:1)--(0,0); | |
| \draw[fermionbar] (140:1)--(0,0); | |
| \draw[vector] (0:1)--(0,0); | |
| \node at (-140:1.2) {$e$}; | |
| \node at (140:1.2) {$e$}; | |
| \node at (.5,.3) {$Z$}; | |
| \begin{scope}[shift={(1,0)}] | |
| \draw[fermionbar] (-40:1)--(0,0); | |
| \draw[fermion] (40:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$e$}; | |
| \end{scope} | |
| \end{scope} | |
| \end{scope} | |
| \end{tikzpicture} | |
| \section{Blob diagrams} | |
| % \begin{tikzpicture}[line width=1.5 pt, scale=2.5] | |
| % \draw[fill=black] (0,0) circle (.3cm); | |
| % \draw[fill=white] (0,0) circle (.29cm); | |
| % \begin{scope} | |
| % \clip (0,0) circle (.3cm); | |
| % \foreach \x in {-.9,-.8,...,.3} | |
| % \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| % \end{scope} | |
| % \end{tikzpicture} | |
| % | |
| % Dark Matter: | |
| % \begin{center} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=2] | |
| \draw[fermion](145:1) -- (145:.3cm); | |
| \node at (145:1.15) {$\chi$}; | |
| \draw[fermion](215:1) -- (215:.3cm); | |
| \node at (215:1.2) {SM}; | |
| \draw[fermionbar](35:1) -- (35:.3cm); | |
| \node at (35:1.15) {$\chi$}; | |
| \draw[fermionbar](-35:1) -- (-35:.3cm); | |
| \node at (-35:1.2) {SM}; | |
| \draw[fill=black] (0,0) circle (.3cm); | |
| \draw[fill=white] (0,0) circle (.29cm); | |
| \begin{scope} | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| \end{tikzpicture} | |
| % \end{center} | |
| \section{Coleman Weinberg} | |
| \begin{tikzpicture}[line width=1.5 pt] | |
| \draw (-1,-.5) -- (0,.5) -- (1,-.5); | |
| \draw[fill=black] (0,.5) circle (.075cm); | |
| \node at (2,0) {\Large=}; | |
| \draw (3,0) -- (4.25,0); | |
| \node at (5,0) {\Large+}; | |
| \draw (-30:1)+(6.5,0) -- (6.5,0); | |
| \draw (90:1)+(6.5,0) -- (6.5,0); | |
| \draw (210:1)+(6.5,0) -- (6.5,0); | |
| \node at (6.5,1.4) {$\langle \phi\rangle$}; | |
| \node at (8,0) {\Large+}; | |
| \draw (45:1)+(9.5,0) -- (9.5,0); | |
| \draw (135:1)+(9.5,0) -- (9.5,0); | |
| \draw (225:1)+(9.5,0) -- (9.5,0); | |
| \draw (315:1)+(9.5,0) -- (9.5,0); | |
| \node at (8.7,1.1) {$\langle \phi\rangle$}; | |
| \node at (10.3,1.1) {$\langle \phi\rangle$}; | |
| \node at (12,0) {\Large$+\hspace{.5cm}\cdots$}; | |
| \end{tikzpicture} | |
| \section{'t Hooft operator} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=2.5] | |
| \draw[fermionbar] (0:.75) -- (25:.29); | |
| \draw[fermionnoarrow] (0:.75) -- (-25:.29); | |
| \draw[scalar] (0:.75) -- (0:1.25); | |
| \begin{scope}[shift={(1.25,0)}] | |
| \draw (125:.1) -- (-55:.1); | |
| \draw (55:.1) -- (-125:.1); | |
| \end{scope} | |
| \draw[fermionbar] (60:.75) -- (85:.29); | |
| \draw[fermionnoarrow] (60:.75) -- (35:.29); | |
| \draw[scalar] (60:.75) -- (60:1.25); | |
| \begin{scope}[shift={(60:1.25)}, rotate=60] | |
| \draw (125:.1) -- (-55:.1); | |
| \draw (55:.1) -- (-125:.1); | |
| \end{scope} | |
| \draw[fermionbar] (120:.75) -- (145:.29); | |
| \draw[fermionnoarrow] (120:.75) -- (95:.29); | |
| \draw[scalar] (120:.75) -- (120:1.25); | |
| \begin{scope}[shift={(120:1.25)}, rotate=120] | |
| \draw (125:.1) -- (-55:.1); | |
| \draw (55:.1) -- (-125:.1); | |
| \end{scope} | |
| \draw[fermionbar] (300:.75) -- (325:.29); | |
| \draw[fermionnoarrow] (300:.75) -- (275:.29); | |
| \draw[scalar] (300:.75) -- (300:1.25); | |
| \begin{scope}[shift={(300:1.25)}, rotate=300] | |
| \draw (125:.1) -- (-55:.1); | |
| \draw (55:.1) -- (-125:.1); | |
| \end{scope} | |
| \draw[fill=black] (320:1) circle (.01); | |
| \draw[fill=black] (325:1) circle (.01); | |
| \draw[fill=black] (330:1) circle (.01); | |
| \draw[fill=black] (335:1) circle (.01); | |
| \draw[fill=black] (340:1) circle (.01); | |
| \draw[fill=black] (80:1) circle (.01); | |
| \draw[fill=black] (85:1) circle (.01); | |
| \draw[fill=black] (90:1) circle (.01); | |
| \draw[fill=black] (95:1) circle (.01); | |
| \draw[fill=black] (100:1) circle (.01); | |
| \draw[fill=black] (0,0) circle (.3cm); | |
| \draw[fill=white] (0,0) circle (.29cm); | |
| \begin{scope} | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| % \node at (0,0) {I}; | |
| \node at (278:.6) {$\lambda$}; | |
| \node at (323:.6) {$Q$}; | |
| \node at (98:.6) {$\lambda$}; | |
| \node at (143:.6) {$\overline Q$}; | |
| \node at (290:1) {$\tilde Q$}; | |
| \node at (130:1) {$\tilde Q$}; | |
| \node at (300:1.5) {$v$}; | |
| \node at (120:1.5) {$v$}; | |
| \node at (60:1.5) {$v$}; | |
| \node at (0:1.5) {$v$}; | |
| \draw[fermionnoarrow] (180:.75) -- (180:.29); | |
| \draw[fermionnoarrow] (240:.75) -- (240:.29); | |
| \draw[fermion] (160:1) -- (180:.75); | |
| \draw[scalar] (180:.75) -- (200:1); | |
| \begin{scope}[shift={(200:1)}, rotate=60] | |
| \draw (125:.1) -- (-55:.1); | |
| \draw (55:.1) -- (-125:.1); | |
| \end{scope} | |
| \draw[fermion] (260:1) -- (240:.75); | |
| \draw[scalar] (240:.75) -- (220:1); | |
| \begin{scope}[shift={(220:1)}] | |
| \draw (125:.1) -- (-55:.1); | |
| \draw (55:.1) -- (-125:.1); | |
| \end{scope} | |
| \node at (200:1.25) {$v$}; | |
| \node at (220:1.25) {$v$}; | |
| \node at (265:1.2) {$Q$}; | |
| \node at (155:1.2) {$\overline Q$}; | |
| \end{tikzpicture} | |
| \vspace{2em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=2.5] | |
| \draw[fermionbar] (0:.75) -- (25:.29); | |
| \draw[fermionnoarrow] (0:.75) -- (-25:.29); | |
| \draw[scalar] (0:.75) -- (0:1.25); | |
| \begin{scope}[shift={(1.25,0)}] | |
| \draw (125:.07) -- (-55:.07); | |
| \draw (55:.07) -- (-125:.07); | |
| \end{scope} | |
| \draw[fermionbar] (60:.75) -- (85:.29); | |
| \draw[fermionnoarrow] (60:.75) -- (35:.29); | |
| \draw[scalar] (60:.75) -- (60:1.25); | |
| \begin{scope}[shift={(60:1.25)}, rotate=60] | |
| \draw (125:.07) -- (-55:.07); | |
| \draw (55:.07) -- (-125:.07); | |
| \end{scope} | |
| \draw[fermionbar] (120:.75) -- (145:.29); | |
| \draw[fermionnoarrow] (120:.75) -- (95:.29); | |
| \draw[scalar] (120:.75) -- (120:1.25); | |
| \begin{scope}[shift={(120:1.25)}, rotate=120] | |
| \draw (125:.07) -- (-55:.07); | |
| \draw (55:.07) -- (-125:.07); | |
| \end{scope} | |
| \draw[fermionbar] (300:.75) -- (325:.29); | |
| \draw[fermionnoarrow] (300:.75) -- (275:.29); | |
| \draw[scalar] (300:.75) -- (300:1.25); | |
| \begin{scope}[shift={(300:1.25)}, rotate=300] | |
| \draw (125:.07) -- (-55:.07); | |
| \draw (55:.07) -- (-125:.07); | |
| \end{scope} | |
| \draw[fill=black] (320:1) circle (.01); | |
| \draw[fill=black] (325:1) circle (.01); | |
| \draw[fill=black] (330:1) circle (.01); | |
| \draw[fill=black] (335:1) circle (.01); | |
| \draw[fill=black] (340:1) circle (.01); | |
| \draw[fill=black] (80:1) circle (.01); | |
| \draw[fill=black] (85:1) circle (.01); | |
| \draw[fill=black] (90:1) circle (.01); | |
| \draw[fill=black] (95:1) circle (.01); | |
| \draw[fill=black] (100:1) circle (.01); | |
| \draw[fill=black] (0,0) circle (.3cm); | |
| \draw[fill=white] (0,0) circle (.29cm); | |
| \begin{scope} | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| % \node at (0,0) {I}; | |
| % \node at (278:.6) {$\lambda$}; | |
| % \node at (323:.6) {$Q$}; | |
| % \node at (98:.6) {$\lambda$}; | |
| % \node at (143:.6) {$\overline Q$}; | |
| % \node at (290:1) {$\tilde Q$}; | |
| % \node at (130:1) {$\tilde Q$}; | |
| % \node at (300:1.5) {$v$}; | |
| % \node at (120:1.5) {$v$}; | |
| % \node at (60:1.5) {$v$}; | |
| % \node at (0:1.5) {$v$}; | |
| \draw[fermionnoarrow] (180:.75) -- (180:.29); | |
| \draw[fermionnoarrow] (240:.75) -- (240:.29); | |
| \draw[fermion] (160:1) -- (180:.75); | |
| \draw[scalar] (180:.75) -- (200:1); | |
| \begin{scope}[shift={(200:1)}, rotate=60] | |
| \draw (125:.07) -- (-55:.07); | |
| \draw (55:.07) -- (-125:.07); | |
| \end{scope} | |
| \draw[fermion] (260:1) -- (240:.75); | |
| \draw[scalar] (240:.75) -- (220:1); | |
| \begin{scope}[shift={(220:1)}] | |
| \draw (125:.07) -- (-55:.07); | |
| \draw (55:.07) -- (-125:.07); | |
| \end{scope} | |
| % \node at (200:1.25) {$v$}; | |
| % \node at (220:1.25) {$v$}; | |
| % \node at (265:1.2) {$Q$}; | |
| % \node at (155:1.2) {$\overline Q$}; | |
| \end{tikzpicture} | |
| \section{Anomaly} | |
| \begin{tikzpicture}[line width=1.5 pt] | |
| % \draw[fermion] (-30:1) -- (90:1) -- (210:1) -- cycle; | |
| \draw[fermion] (-30:1) -- (90:1); | |
| \draw[fermion] (90:1) -- (210:1); | |
| \draw[fermion] (210:1) -- (-30:1); | |
| \draw[vector] (-30:1) -- (-30:2); | |
| \draw[vector] (90:1) -- (90:2); | |
| \draw[vector] (210:1) -- (210:2); | |
| \end{tikzpicture} | |
| % | |
| \hspace{3cm} | |
| % | |
| \begin{tikzpicture}[line width=1.5 pt] | |
| % \draw[fermion] (0:1) -- (60:1); | |
| % \draw[fermion] (60:1) -- (120:1); | |
| % \draw[fermion] (120:1) -- (180:1); | |
| % \draw[fermion] (180:1) -- (240:1); | |
| % \draw[fermion] (240:1) -- (300:1); | |
| % \draw[fermion] (300:1) -- (360:1); | |
| % | |
| \draw[fermion] (0:1.2) -- (60:1.2); | |
| \draw[fermion] (60:1.2) -- (120:1.2); | |
| \draw[fermion] (120:1.2) -- (180:1.2); | |
| \draw[fermion] (180:1.2) -- (240:1.2); | |
| \draw[fermion] (240:1.2) -- (300:1.2); | |
| \draw[fermion] (300:1.2) -- (360:1.2); | |
| % | |
| \draw[vector] (0:1.2) -- (0:2); | |
| \draw[vector] (60:1.2) -- (60:2); | |
| \draw[vector] (120:1.2) -- (120:2); | |
| \draw[vector] (180:1.2) -- (180:2); | |
| \draw[vector] (240:1.2) -- (240:2); | |
| \draw[vector] (300:1.2) -- (300:2); | |
| \end{tikzpicture} | |
| \section{SUSY Cascade} | |
| \begin{tikzpicture}[line width=1.5 pt] | |
| \draw[bigvector] (90:2) -- (45:2); | |
| \draw[fermionnoarrow] (90:2) -- (45:2); | |
| \draw[scalar] (45:2) -- (0:2); | |
| \draw[scalar] (-1.5,2) -- (0,2); | |
| \draw[bigvector] (2,0) -- (2,-1.5); | |
| \draw[fermionnoarrow] (2,0) -- (2,-1.5); | |
| % | |
| \draw[fermion] (90:2) -- (90:3.5); | |
| \draw[fermion] (45:2) -- (45:3.5); | |
| \draw[fermion] (0:2) -- (0:3.5); | |
| \end{tikzpicture} | |
| \section{Hadronic interactions} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=2] | |
| % \draw[fermion](145:1) -- (145:.3cm); | |
| % \node at (145:1.15) {$\chi$}; | |
| % \draw[fermion](215:1) -- (215:.3cm); | |
| % \node at (215:1.2) {SM}; | |
| % \draw[fermionbar](35:1) -- (35:.3cm); | |
| % \node at (35:1.15) {$\chi$}; | |
| % \draw[fermionbar](-35:1) -- (-35:.3cm); | |
| % \node at (-35:1.2) {SM}; | |
| % \draw[fill=black] (0,0) circle (.3cm); | |
| % \draw[fill=white] (0,0) circle (.29cm); | |
| \draw[fermion] (-1,2) -- (0,2); | |
| \draw[fermion] (0,2) -- (1,2.5); | |
| \draw[vector] (0,2) -- (.5,1); | |
| % \draw[fermion] (0,0) -- (.5,1); | |
| \draw[fermion] (.5,1) -- (1.5,1); | |
| \draw[fermion] (60:.3) -- (.5,1); | |
| % | |
| \draw[fermion] (-1,.2) -- (0,.2); | |
| \draw[fermion] (-1,.1) -- (0,.1); | |
| \draw[fermion] (-1,0) -- (0,0); | |
| % | |
| \draw[fermion] (0,-.1) -- (1.5,-0.1); | |
| \draw[fermion] (0,-.2) -- (1.5,-0.2); | |
| \fill[white] (0,0) circle (.3); | |
| \begin{scope} | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| \draw[fermionnoarrow] (0,0) circle (.3); | |
| \end{tikzpicture} | |
| \vspace{1cm} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=2] | |
| \draw[fermion] (-1,2.1) -- (-.2,2.1); | |
| \draw[fermion] (-1,2) -- (-.2,2); | |
| \draw[fermion] (-1,1.9) -- (-.2,1.9); | |
| % | |
| \draw[fermion] (0,2) -- (2,2); | |
| \draw[fermion] (0,2.1) -- (2,2.1); | |
| \draw[fermion] (0,2) -- (.5,1); | |
| % \draw[fermion] (0,0) -- (.5,1); | |
| \draw[vector] (.5,1) -- (1,1); | |
| \draw[fermion] (2,1.5) -- (1,1); | |
| \draw[fermion] (1,1) -- (2,.5); | |
| % | |
| \draw[fermion] (60:.3) -- (.5,1); | |
| % | |
| \draw[fermion] (-1,.1) -- (-.2,.1); | |
| \draw[fermion] (-1,0) -- (-.2,0); | |
| \draw[fermion] (-1,-.1) -- (-.2,-.1); | |
| % | |
| \draw[fermion] (0,0) -- (2,0); | |
| \draw[fermion] (0,-.1) -- (2,-.1); | |
| \fill[white] (0,0) circle (.3); | |
| % | |
| \begin{scope} | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| \draw[fermionnoarrow] (0,0) circle (.3); | |
| % | |
| \begin{scope}[shift={(0,2)}] | |
| \fill[white] (0,0) circle (.3); | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \draw[fermionnoarrow] (0,0) circle (.3); | |
| \end{scope} | |
| \draw[fermionnoarrow] (0,2) circle (.3); | |
| \end{tikzpicture} | |
| \section{Flavor (box and penguins)} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1] | |
| \draw[fermion] (-1,2.3) -- (0,2); | |
| \draw[fermion] (0,2) -- (2,2); | |
| \draw[fermion] (2,2) -- (3,2.3); | |
| % | |
| \draw[fermion] (-1,-.3) -- (0,0); | |
| \draw[fermion] (0,0) -- (2,0); | |
| \draw[fermion] (2,0) -- (3,-.3); | |
| % | |
| \draw[vector] (0,2) -- (0,0); | |
| \draw[vector] (2,2) -- (2,0); | |
| \end{tikzpicture} | |
| % | |
| % | |
| \hspace{3cm} | |
| % | |
| % | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1] | |
| \draw[fermion] (-1,2.3) -- (0,2); | |
| \draw[vector] (0,2) -- (2,2); | |
| \draw[fermion] (2,2) -- (3,2.3); | |
| % | |
| \draw[fermion] (0,2) -- (1,.5); | |
| \draw[fermion] (1,.5) -- (2,2); | |
| % | |
| \draw[vector] (1,.5) -- (1,-.5); | |
| \draw[fermion] (3,-1) -- (1,-.5); | |
| \draw[fermion] (1,-.5) -- (-1,-1); | |
| \end{tikzpicture} | |
| \section{Multiloop} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.5] | |
| \begin{scope} | |
| \clip (-1.5,-.5) -- (0,1.5) -- (1.5, -.5) -- cycle; | |
| \draw[vector] (-2,0) -- (2,0); | |
| \draw[vector] (0,0) -- (30:2); | |
| \draw[vector] (0,0) -- (60:2); | |
| \end{scope} | |
| \fill[white] (0,0) circle (.4); | |
| \begin{scope} | |
| % \clip (0,0) circle (.4cm); | |
| % \foreach \x in {-.9,-.8,...,.3} | |
| % \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| \draw[fermionnoarrow] (0,0) circle (.4); | |
| % \draw[fermion] (-.4,0) arc (180:90:.4); | |
| % \begin{scope}[shift={(0,2)}] | |
| % \fill[white] (0,0) circle (.3); | |
| % \clip (0,0) circle (.3cm); | |
| % \foreach \x in {-.9,-.8,...,.3} | |
| % \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| % \draw[fermionnoarrow] (0,0) circle (.3); | |
| % \end{scope} | |
| \draw[fermion] (-1.5,-.5) -- (0,1.5); | |
| \draw[fermionnoarrow] (0,1.5) -- (1.5,-.5); | |
| % \draw[fermion] (0,1.5) -- (60:2); | |
| % \draw[fermionnoarrow] (60:2) -- (1.5,-.5); | |
| \draw[vector] (0,1.5) -- (0,2.25); | |
| \end{tikzpicture} | |
| \section{Renormalization} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermionbar] (0:1)--(0,0); | |
| % \node at (-140:1.2) {$e$}; | |
| % \node at (140:1.2) {$e$}; | |
| % \node at (.5,.3) {$\gamma$}; | |
| \draw[vector] (1,0) arc (180:0:.5); | |
| \draw[fermionbar] (2,0) arc (0:-180:.5); | |
| \draw[fermion] (2,0) --(3,0); | |
| % \node at (2.5,.3) {$\gamma$}; | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[vector] (0:1)--(0,0); | |
| \draw[fermion] (1,0) arc (180:0:.5); | |
| \draw[fermion] (2,0) arc (0:-180:.5); | |
| \draw[vector] (2,0) --(3,0); | |
| \end{tikzpicture} | |
| \section{Cross section} | |
| \begin{center} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1] | |
| \draw (0, 0) ellipse (.5 and 1); | |
| \begin{scope}[shift={(4,-1)}] | |
| \draw (0, 0) arc (-90:90:.5 and 1); | |
| \draw[scalarnoarrow] (0, 2) arc (90:270:.5 and 1); | |
| \end{scope} | |
| \draw (0,1) -- (4,1); | |
| \draw (0,-1) -- (4,-1); | |
| \draw[line width=1 pt, <->] (0,-1.5) -- (4,-1.5); | |
| \node[fill=white] at (2,-1.5) {$v \, dt$}; | |
| \node at (0,0) {$\hat\sigma_N$}; | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \end{center} | |
| \section{$Z$ boson} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\nu_i$}; | |
| \node at (40:1.2) {$\nu_i$}; | |
| \node at (180:1.2) {$Z$}; | |
| % \begin{scope}[shift={(3.5,0)}] | |
| % \draw[fermion] (-40:1)--(0,0); | |
| % \draw[fermionbar] (40:1)--(0,0); | |
| % \draw[vector] (180:1)--(0,0); | |
| % \node at (-40:1.2) {$\nu_i$}; | |
| % \node at (40:1.2) {$\ell$}; | |
| % \node at (180:1.4) {$W^\pm$}; | |
| % \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\nu_e$}; | |
| \node at (40:1.2) {$\nu_e$}; | |
| \node at (180:1.2) {$Z$}; | |
| \begin{scope}[shift={(3.5,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\nu_\mu$}; | |
| \node at (40:1.2) {$\nu_\mu$}; | |
| \node at (180:1.2) {$Z$}; | |
| \end{scope} | |
| \begin{scope}[shift={(7,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\nu_\tau$}; | |
| \node at (40:1.2) {$\nu_\tau$}; | |
| \node at (180:1.2) {$Z$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \section{$W$ boson} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\ell$}; | |
| \node at (40:1.2) {$\nu_i$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \begin{scope}[shift={(3.5,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\nu_i$}; | |
| \node at (40:1.2) {$\ell$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \vspace{1em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$\nu_e$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \begin{scope}[shift={(3.5,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$\nu_\mu$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \begin{scope}[shift={(7,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$e$}; | |
| \node at (40:1.2) {$\nu_\tau$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| % | |
| \vspace{.5em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\nu_e$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \begin{scope}[shift={(3.5,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\nu_\mu$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \begin{scope}[shift={(7,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\mu$}; | |
| \node at (40:1.2) {$\nu_\tau$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| % | |
| \vspace{.5em} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=1.3] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\tau$}; | |
| \node at (40:1.2) {$\nu_e$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \begin{scope}[shift={(3.5,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\tau$}; | |
| \node at (40:1.2) {$\nu_\mu$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \begin{scope}[shift={(7,0)}] | |
| \draw[fermion] (-40:1)--(0,0); | |
| \draw[fermionbar] (40:1)--(0,0); | |
| \draw[vector] (180:1)--(0,0); | |
| \node at (-40:1.2) {$\tau$}; | |
| \node at (40:1.2) {$\nu_\tau$}; | |
| \node at (180:1.4) {$W^\pm$}; | |
| \end{scope} | |
| \end{tikzpicture} | |
| \section{Dark Matter} | |
| \begin{center} | |
| \begin{tikzpicture}[line width=1.5 pt, scale=2] | |
| \draw[fermion](145:1) -- (145:.3cm); | |
| \node at (145:1.15) {$\chi$}; | |
| \draw[fermion](215:1) -- (215:.3cm); | |
| \node at (215:1.2) {SM}; | |
| \draw[fermionbar](35:1) -- (35:.3cm); | |
| \node at (35:1.15) {$\chi$}; | |
| \draw[fermionbar](-35:1) -- (-35:.3cm); | |
| \node at (-35:1.2) {SM}; | |
| \draw[fill=black] (0,0) circle (.3cm); | |
| \draw[fill=white] (0,0) circle (.29cm); | |
| \begin{scope} | |
| \clip (0,0) circle (.3cm); | |
| \foreach \x in {-.9,-.8,...,.3} | |
| \draw[line width=1 pt] (\x,-.3) -- (\x+.6,.3); | |
| \end{scope} | |
| \end{tikzpicture} | |
| \end{center} | |
| \section{Coleman Weinberg} | |
| \begin{tikzpicture}[line width=1.5 pt] | |
| \draw (-1,-.5) -- (0,.5) -- (1,-.5); | |
| \draw[fill=black] (0,.5) circle (.075cm); | |
| \node at (2,0) {\Large=}; | |
| \draw (3,0) -- (4.25,0); | |
| \node at (5,0) {\Large+}; | |
| \draw (-30:1)+(6.5,0) -- (6.5,0); | |
| \draw (90:1)+(6.5,0) -- (6.5,0); | |
| \draw (210:1)+(6.5,0) -- (6.5,0); | |
| \node at (6.5,1.4) {$\langle \phi\rangle$}; | |
| \node at (8,0) {\Large+}; | |
| \draw (45:1)+(9.5,0) -- (9.5,0); | |
| \draw (135:1)+(9.5,0) -- (9.5,0); | |
| \draw (225:1)+(9.5,0) -- (9.5,0); | |
| \draw (315:1)+(9.5,0) -- (9.5,0); | |
| \node at (8.7,1.1) {$\langle \phi\rangle$}; | |
| \node at (10.3,1.1) {$\langle \phi\rangle$}; | |
| \node at (12,0) {\Large$+\hspace{.5cm}\cdots$}; | |
| \end{tikzpicture} | |
| \section*{Acknowledgements} | |
| ... | |
| % | |
| % | |
| This work is supported in part by the NSF grant number PHY-0355005, an NSF graduate research fellowship, and a Paul \& Daisy Soros Fellowship For New Americans. The contents of this article do not necessarily represent the views of either institution. | |
| \appendix | |
| % \section{Miscellaneous} | |
| % \label{app:misc} | |
| % | |
| % | |
| % \subsection{Direct detection recoil} | |
| % | |
| % \begin{center} | |
| % \begin{tikzpicture}[line width=1 pt, scale=1.5] | |
| % \draw[<->, line width=1.5 pt] (0,2.5) -- (0,0) -- (4,0); | |
| % \draw (0,0) rectangle (3,.5); | |
| % \begin{scope} | |
| % \clip (0,0) rectangle (3,.5); | |
| % \foreach \x in {-1.9,-1.8,...,3.3} | |
| % \draw[line width=.2 pt] (\x,-.3) -- (\x+1.2,.6); | |
| % \end{scope} | |
| % % \draw (0,.5) rectangle (2.2,1); | |
| % % \draw (0,1) rectangle (1.3,1.5); | |
| % % \draw (0,1.5) rectangle (.5,2); | |
| % \node at (-.4, 2.5) {$\displaystyle \frac{dR}{dE_R}$}; | |
| % \node at (4, -.3) {$\displaystyle E_R$}; | |
| % \draw (3,.05) -- (3,-.1); | |
| % \node at (3, -.3) {$\displaystyle E_ir$}; | |
| % \end{tikzpicture} | |
| % \quad\quad\quad\quad | |
| % \begin{tikzpicture}[line width=1 pt, scale=1.5] | |
| % \draw[<->, line width=1.5 pt] (0,2.5) -- (0,0) -- (4,0); | |
| % \draw (0,0) rectangle (3,.5); | |
| % \begin{scope} | |
| % \clip (0,0) rectangle (3,.5); | |
| % \foreach \x in {-1.9,-1.8,...,3.3} | |
| % \draw[line width=.2 pt] (\x,-.3) -- (\x+1.2,.6); | |
| % \end{scope} | |
| % \draw (0,.5) rectangle (2.0,1); | |
| % \draw (0,1) rectangle (1.0,1.5); | |
| % \draw (0,1.5) rectangle (.5,2); | |
| % \node at (-.4, 2.5) {$\displaystyle \frac{dR}{dE_R}$}; | |
| % \node at (4, -.3) {$\displaystyle E_R$}; | |
| % % \draw (3,.05) -- (3,-.1); | |
| % % \node at (3, -.3) {$\displaystyle E_ir$}; | |
| % \end{tikzpicture} | |
| % \end{center} | |
| % | |
| % | |
| % \section{Appendix} | |
| % \label{app:} | |
| %%%%%%%%% | |
| % BIBLIOGRAPHY: Option 1, inline | |
| % But I prefer using BibTex | |
| % \begin{thebibliography}{99} | |
| % % | |
| % % | |
| % %\cite{Barbieri:2000gf} | |
| % % \bibitem{Barbieri:2000gf} | |
| % % R.~Barbieri and A.~Strumia, | |
| % % % ``The 'LEP paradox','' | |
| % % [arXiv:hep-ph/0007265]. | |
| % % %%CITATION = HEP-PH/0007265;%% | |
| % % | |
| % | |
| % \end{thebibliography} | |
| % \bibliographystyle{h-physrev} | |
| %%%%%%%%% | |
| % BIBLIOGRAPHY: Option 2, BibTex | |
| % \bibliographystyle{utphys.bst} | |
| % \bibliography{Type in the name of the .bib file here, without the extension} | |
| \end{document} | |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment