Abstract

The datasets that the LHCb and Belle II experiments are expected to collect in the coming years will allow a 1-degree precision measurement of the angle γ(ϕ3) of the unitarity triangle using B±→D(⁎)0K(⁎)± decays. To reach this goal a number of subleading effects must be taken into account, including D−D‾ mixing, possible direct CP violation in D decays and CP violation in the neutral kaon system. We discuss these effects and quantify their magnitude in the main analysis methods.

Highlights

  • IntroductionEffect of D − Dmixing [8, 9, 10, 11], possible direct CP violation in D decays [12, 13] and CP violation in the neutral kaon system [14]

  • The datasets that the LHCb and Belle II experiments are expected to collect in the coming years will allow a 1degree precision measurement of the angle γ (φ3) of the unitarity triangle using B± → D(∗)0K(∗)± decays

  • Using the results discussed in sec. 7 this translates into a shift on γ O(0.1) deg

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Summary

Introduction

Effect of D − Dmixing [8, 9, 10, 11], possible direct CP violation in D decays [12, 13] and CP violation in the neutral kaon system [14]. We review how these effects can affect the extraction of γ and we quantify the bias introduced when they are ignored. We introduce the B → DK rates in the presence of D−Dmixing and without imposing CP conservation. 3-7 we impose CP conservation and examine the effect of D− Dmixing in the main analysis methods. For B− → D(0)∗K(∗)− decays the values of rB are close to 0.1 whereas the charm mixing parameters are [15]. The effect of mixing in B− → D0π− is at the level of 100% and can never been neglected when these decays are used to constrain γ

GLW method
ADS method
Dalitz method
Effect of the time acceptance
Bias on γ from the shifted cartesian coordinates
CP violation in D decays
CP violation in the neutral kaon system
Findings
Conclusions
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