Measurement of gamma using B -> K pi pi and B -> K K Kbar decays

TL;DR

This paper uses Dalitz plot analyses of various B meson decays to precisely measure the weak phase gamma, with one solution aligning with the Standard Model and reduced uncertainty compared to previous methods.

Contribution

It introduces a novel approach using three-body B decay Dalitz plots to extract gamma with higher precision and accounts for flavor-SU(3) breaking effects.

Findings

Four solutions for gamma are identified.

One solution (77°) aligns with the Standard Model.

Uncertainty is significantly reduced compared to two-body decay methods.

Abstract

The BaBar measurements of the Dalitz plots for B0 -> K+ pi0 pi-, B0 -> K0 pi+ pi-, B+ -> K+ pi+ pi-, B0 -> K+ K0 K-, and B0 -> K0 K0 Kbar0 decays are used to cleanly extract the weak phase gamma. We find four possible solutions: $(31^{+2}_{-3})^\circ$, $(77 \pm 3)^\circ$, $(258^{+4}_{-3})^\circ$, and $(315^{+3}_{-2})^\circ$. One solution -- $(77 \pm 3)^\circ$ -- is consistent with the SM. Its error, which includes leading-order flavor-SU(3) breaking, is far smaller than that obtained using two-body B decays.