$gamma$ measurements at LHCb

TL;DR

This paper explores multiple methods to measure the CP-violating angle gamma at LHCb, using decay analyses and simulations to evaluate their sensitivities and potential precision.

Contribution

It presents a comprehensive study of three different approaches to determine gamma, including simulations and sensitivity estimates, advancing the experimental strategies at LHCb.

Findings

Potential of $B o DK^{(*)}$ decays with GLW and ADS methods analyzed.

Time-dependent analysis of $B_s o D_s K$ decays for gamma extraction.

Combined CP asymmetry measurements in $B^0$ and $B_s$ decays to determine gamma.

Abstract

The LHCb collaboration has studied various promising ways to determine the Unitarity Triangle angle $\gamma$. Three complementary methods will be considered. The potential of the $B \to DK^{(*)}$ decays has been studied by employing the combined Gronau-London-Wyler (GLW) and the Atwood-Dunietz-Soni (ADS) methods, making use of a large sample of simulated data. $\gamma$ can also be extracted with a time-dependent analysis of $B_s \to D_s K$ decays, provided that the $B_s$ mixing phase is measured independently. In addition, the combined measurement of the $B^0 \to \pi^+ \pi^-$ and $B^0_s \to K^+K^-$ time-dependent CP asymmetries allows the determination of $\gamma$, up to U-spin flavour symmetry breaking corrections. For each method the expected sensitivities to the angle $\gamma$ are presented.