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# $B^0$ Oscillations

## Introduction

The $B^0_d(d\bar{b})$ and $B^0_s(s\bar{b})$ mesons undergo matter-antimatter oscillations due to second-order weak interactions.[^osc]

![](http://www.ppd.stfc.ac.uk/PPD/resources/image/jpg/mixing.jpg.jpg)

The asymmetry of the $B^0$ meson decay tends to favor matter production over antimatter production, but the Standard Model predicts that the $B^0$ decay asymmetry alone cannot account for the preponderance of matter over antimatter in the universe.[^LHCb-trouble] Flavor eigenstates do not share an eigenbasis with physical particle states, and the mass difference between the physical particle states give rise to a phase difference in the physical state time evolutions, causing pure flavor states to mix after some time. Experiments exploring this phenomenon are crucial tests of the Standard Model and place restrictions on viable physical theories.

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#cloud-config
users:
  - name: alan
    ssh-authorized-keys:
      - ssh-rsa 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 alanarch
    sudo: ['ALL=(ALL) NOPASSWD:ALL']
    groups: sudo
    shell: /bin/bash
packages:
  - letsencrypt

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0x0a61348c1bf11479626fcdddd985f2600820b35a

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0x8a5e5508046316a6511d24306bcaab0a6d8511f1

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pragma solidity ^0.4.21;

import "./Kombucha.sol";

contract KombuchaFactory {
    function createKombucha(string flavor, uint fillAmount, uint capacity)
        public
        returns (Kombucha)
    {
        return new Kombucha(flavor, fillAmount, capacity);

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pragma solidity ^0.4.21;

import "./KombuchaWithInit.sol";
import "./ProxyPostByzantium.sol";

contract KombuchaFactory {
    Kombucha private masterCopy;

    function KombuchaFactory(Kombucha _masterCopy) public {
        masterCopy = _masterCopy;

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pragma solidity ^0.4.21;

import "./ProxyPostByzantium.sol";
import "./KombuchaMINoAcc.sol";

contract KombuchaFactory {
    Kombucha private masterCopy;
    
    function KombuchaFactory() public {
        masterCopy = new Kombucha();

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pragma solidity ^0.4.21;

contract OwnableData {
    modifier onlyOwner() {
        require(msg.sender == owner);
        _;
    }

    address internal owner;

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pragma solidity ^0.4.21;

import "./ProxyPostByzantium.sol";
import "./Ownable.sol";

contract UpdateableProxyData is ProxyData, OwnableData {}

contract UpdateableProxy is Proxy, Ownable {
    function UpdateableProxy(address proxied, address owner)
        public

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pragma solidity ^0.4.24;

contract SingleWordConsumer {
    event LogWord(bytes32 w);

    function receiveResult(bytes) external {
        bytes32 w;
        assembly {
            w := calldataload(0x44) // 4 byte func selector +
                                    // word of 1st arg offset +