Extracting gamma and Penguin Topologies through CP Violation in B_s^0 -> J/psi K_S

TL;DR

This paper discusses how the decay B_s^0 -> J/psi K_S can be used to extract the gamma angle of the unitarity triangle and control penguin corrections, with implications for LHCb's precision measurements.

Contribution

It introduces a method to extract gamma and penguin parameters using B_s^0 -> J/psi K_S decay and explores the sensitivity and correlations relevant for LHCb.

Findings

Sensitivity estimates for gamma and penguin parameters.

Correlation between CP violation S(B_s^0 -> J/psi K_S) and mixing phase phi_s.

Potential for the first measurement of S(B_s^0 -> J/psi K_S) at LHCb.

Abstract

The B_s^0 -> J/psi K_S decay has recently been observed by the CDF collaboration and will be of interest for the LHCb experiment. This channel will offer a new tool to extract the angle gamma of the unitarity triangle and to control doubly Cabibbo-suppressed penguin corrections to the determination of sin(2beta) from the well-known B_d^0 -> J/psi K_S mode with the help of the U-spin symmetry of strong interactions. While any competitive determination of gamma is interesting, the latter aspect is particularly relevant as LHCb will enter a territory of precision which makes the control of doubly Cabibbo-suppressed Standard-Model corrections mandatory. Using the data from CDF and the e^+e^- B factories as a guideline, we explore the sensitivity for gamma and the penguin parameters and point out that the B_s^0-\bar B_s^0 mixing phase phi_s, which is only about -2 deg in the Standard Model but may be enhanced through new physics, is a key parameter for these analyses. We find that the mixing-induced CP violation S(B_s^0 -> J/psi K_S) shows an interesting correlation with sin(phi_s), which serves as a target region for the first measurement of this observable at LHCb.