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Geant4 Simulations for the Radon Electric Dipole Moment Search at

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1.1.1 CP Viol<strong>at</strong>ion<br />

Following <strong>the</strong> observ<strong>at</strong>ion of ˆP viol<strong>at</strong>ions in <strong>the</strong> β decay, it was believed th<strong>at</strong> ˆ CP<br />

was a true symmetry of n<strong>at</strong>ure. CP viol<strong>at</strong>ion was, however, observed in <strong>the</strong> decay<br />

of K mesons [11] and also more recently in <strong>the</strong> decay of B mesons [12, 13]. CP<br />

viol<strong>at</strong>ion implies <strong>the</strong> existence of T viol<strong>at</strong>ion via <strong>the</strong> CPT Theorem. Direct evidence<br />

<strong>for</strong> time-reversal viol<strong>at</strong>ion has been suggested in <strong>the</strong> transition r<strong>at</strong>es of <strong>the</strong> antikaon<br />

to kaon process, and its reverse, kaon to antikaon. However, <strong>the</strong>se results remain<br />

controversial [14, 15].<br />

In1967,AndreiSakharovdemostr<strong>at</strong>ed[16]th<strong>at</strong>CP viol<strong>at</strong>ionisessential<strong>for</strong>baryogenesis,<br />

<strong>the</strong> physical processes required to produce <strong>the</strong> asymmetry between baryons<br />

and antibaryons in <strong>the</strong> early universe. In <strong>the</strong> Standard Model, CP viol<strong>at</strong>ion enters<br />

via weak interaction flavor mixing represented by <strong>the</strong> complex phase δ CKM of <strong>the</strong><br />

Cabibbo-Kobayashi-Maskawa (CKM) m<strong>at</strong>rix and via θ QCD , <strong>the</strong> vacuum expect<strong>at</strong>ion<br />

value of <strong>the</strong> QCD gluon field. These sources of CP viol<strong>at</strong>ion are, however, not sufficient<br />

to account <strong>for</strong> <strong>the</strong> observed asymmetry between m<strong>at</strong>ter and anti-m<strong>at</strong>ter in our<br />

universe. Thus additional sources of CP viol<strong>at</strong>ion are required and provide a strong<br />

motiv<strong>at</strong>ion to search <strong>for</strong> new physics beyond <strong>the</strong> Standard Model.<br />

1.1.2 The Standard Model<br />

The Standard Model of particle physics does predict <strong>the</strong> existence of non-zero<br />

particle EDMs through δ CKM and θ QCD . However, <strong>the</strong>se EDMs are many orders of<br />

magnitude smaller than current experimental sensitivity (see Figure 1.2). On <strong>the</strong><br />

o<strong>the</strong>r hand, models beyond <strong>the</strong> Standard Model, such as multiple-Higgs <strong>the</strong>ories,<br />

left-right symmetry and supersymmetry (SUSY), generally include additional CPviol<strong>at</strong>ing<br />

complex phases and predict EDMs within current experimental reach [1].<br />

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