Abstract

The large data sample of the $B_c$ meson collected at the LHC experiment and the HL-LHC experiment provides us the opportunity to study the $B_c$ decays and the related physics. In this paper, we investigate the effect of $K^0-\bar{K}^0$ mixing on the the branching ratios, CP violations and CPT violations in the $B_{c}^{\pm}\rightarrow B^{\pm} K_{S,L}^{0}$ decays. We find that some of the $B_c^{\pm}\rightarrow B^{\pm} K_{S,L}^0\rightarrow f_{B^{\pm}} f_{K_{S,L}^0}$ decay chains have large branching ratios, whose maximum value can exceed the order of $10^{-6}$, the minimum number of $B_c^\pm$ events times efficiency for observing the decays at three standard deviations (3$\sigma$) level is about $ 10^6$. We study the CP asymmetries in the $B_c^{\pm}\rightarrow B^{\pm} K_{S,L}^0$ decays and find that the CP asymmetries can exceed the order of $10^{-3}$, which are dominated by $K^0-\bar{K}^0$ mixing. We give the most promising processes to observe the CP violations and the ranges of the numbers of $B_c^\pm$ events-times-efficiency needed to observe the CP asymmetries at a significance of 3$\sigma$ in these decays. We investigate the possibility to constraint the CPT violation parameter $z$ in the $B_c^{\pm}\rightarrow B^{\pm} K_{S,L}^0\rightarrow f_{B^{\pm}} f_{K_{S,L}^0}$ decays and give the most promising processes to constraint the parameter $z$.

Highlights

  • CP violation provides deep insights into the nature and plays an important role in explaining for our matterdominated universe [1,2]

  • We investigate the effect of K0 − K 0 mixing on the branching ratios, CP violations and CPT violations in the BÆc → BÆK0S;L decays

  • We find that some of the BÆc → BÆK0S;L → f f BÆ K0S;L decay chains have large branching ratios, whose maximum value can exceed the order of 10−6, the minimum number of BÆc events times efficiency for observing the decays at three standard deviations (3σ) level is about 106

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Summary

INTRODUCTION

CP violation provides deep insights into the nature and plays an important role in explaining for our matterdominated universe [1,2]. The K0 − K 0 mixing system is one of the most intriguing processes to study CP and CPT violations. At the LHC experiment, around 5 × 1010 Bc mesons per year could be produced [44,45], which provides us the opportunity to get more information of this particle and study the related physics. We investigate the effect of K0 − K 0 mixing on CP and CPT violations in the BÆc → BÆK0S;L decays. We predict the branching ratio of these decays and calculate the CP and CPT asymmetries which are dominated by the effect of K0 − K 0 mixing. We explore the sensitivity of these measurements in experiment

BRANCHING FRACTIONS
NUMERICAL CALCULATION
D Ãð2007Þ0lþνlK0L
PROSPECTS FOR THE MEASUREMENT AT LHC
CONCLUSIONS
A: RELATIONS
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