Three Parton Corrections in $B\to PP$ decays

TL;DR

This paper evaluates the impact of three-parton corrections in B meson decays to two pseudoscalar mesons, revealing their significance for precise theoretical predictions of decay rates.

Contribution

It introduces a collinear expansion method to calculate $1/m_b$ corrections from three-parton Fock states in $B o PP$ decays, a novel approach in this context.

Findings

Three-parton corrections significantly affect $CP$ averaged branching ratios.

The corrections modify theoretical predictions for $B o ext{pion} K$ decays.

The method improves understanding of nonperturbative effects in heavy meson decays.

Abstract

The $1/m_b$ corrections from the three parton $q\bar{q}g$ Fock state of the final state light meson in $B\to PP$ decays are evaluated by means of a collinear expansion method. The impacts of these corrections on the $CP$ averaged branching ratios of the $B\to \pi K$ decays are analyzed.