Charmless Three-body $B$ Decays at BABAR

TL;DR

This paper analyzes charmless three-body B decays using BABAR data, finding evidence for direct CP violation in specific decay modes and setting improved limits on suppressed decay processes.

Contribution

It provides the first evidence of direct CP violation in $B^ o ho^0 K$ decays and enhances the constraints on rare decay branching fractions.

Findings

Evidence for direct CP violation in $B^ o ho^0 K$

Improved upper limits on suppressed decay modes

Detailed Dalitz-plot analysis of $B^+ o K^+ ho^0$ and related decays

Abstract

We present Dalitz-plot analyses of $B^+\to K^+\pi^-\pi^+$ and $B^0\to K^+\pi^-\pi^0$ using the data sample collected at the $\Upsilon(4S)$ by the BABAR detector. We have found evidence for direct CP-violation in the decay $B^\pm\to\rho^0 K^\pm$, with a CP-violation parameter ${\cal A}_{CP}={\Gamma_{B^+}-\Gamma_{B^-}\over \Gamma_{B^+}+\Gamma_{B^-}}= (+44\pm10\pm4^{+5}_{-13})%$, where $\Gamma_{B^\pm}$ are the decay rates. The uncertainties are statistical, systematic, and model-dependent, respectively. We also search for the suppressed decays $B^+\to K^-\pi^+\pi^+$ and $K^+K^+\pi^-$ and improve upper limits on the decay branching fractions.