# Extraction of the CKM phase $\gamma$ using charmless 3-body decays of $B$ mesons

## TL;DR

This paper extracts the CKM phase gamma from charmless three-body B meson decays using amplitude analyses and flavor symmetry assumptions, finding multiple solutions with one consistent with the Standard Model.

## Contribution

It applies a novel method to determine gamma from three-body B decays, incorporating amplitude analyses and SU(3) symmetry, revealing multiple solutions including the Standard Model compatible one.

## Key findings

- Six solutions found for gamma, with one compatible with the Standard Model.
- SU(3) symmetry breaking effects are at the percent level.
- The method demonstrates feasibility of extracting gamma from complex decay modes.

## Abstract

The weak phase $\gamma$ is extracted from three-body charmless decays of $B$ mesons following a method proposed by Bhattacharya, Imbeault \& London. The result is obtained by combining the BABAR amplitude analyses for the processes $B^0 \rightarrow K^+ \pi^0 \pi^-$, $B^0 \rightarrow K_S^0 \pi^+ \pi^-$, $B^0 \rightarrow K_S^0 K_S^0 K_S^0$, $B^0 \rightarrow K^+ K_S^0 K^-$ and $B^+ \rightarrow K^+ \pi^+ \pi^-$, under the assumption of $\alpha_{\rm{SU(3)}}$ flavour symmetry. Six possible solutions are found. One solution is compatible with the Standard Model while the others are not. It is also found that, when averaged over the entire Dalitz plane, the effect of $\alpha_{\rm{SU(3)}}$ breaking on the analysis is only at the percent level.