Probing CP violation in $B^0_s \rightarrow K^{0}_{\rm S} \pi^{+}\pi^{-}$ decays

TL;DR

This paper explores various methods to detect CP violation in the three-body decay of B_s mesons, testing the Standard Model and evaluating the sensitivity of different analysis techniques.

Contribution

It introduces and compares multiple analysis approaches for CP violation in B_s decays, including decay-time-dependent and Dalitz-plot fits, assessing their relative sensitivities.

Findings

Different analysis methods have varying sensitivities to CP violation.

Dalitz-plot and decay-time-dependent fits provide complementary insights.

The study guides future experimental strategies for CP violation searches.

Abstract

The three-body charmless hadronic decay $B^0_s \rightarrow K^{0}_{\rm S} \pi^{+}\pi^{-}$ provides a number of novel possibilities to search for CP violation effects and test the Standard Model of particle physics. These include fits to the Dalitz-plot distributions of the decay-time-integrated final state, decay-time-dependent (but without initial state flavour tagging) fits to the Dalitz-plot distribution, as well as full decay-time-dependent and flavour tagged fits. The relative sensitivities of these different approaches are investigated.