On the matrix elements of dB=0 operators in the heavy meson decay widths

TL;DR

This paper calculates chiral corrections to matrix elements of Delta B=0 four-quark operators, aiding precise predictions of heavy meson decay ratios and semileptonic decay corrections.

Contribution

It provides the first detailed computation of chiral logarithmic corrections to these matrix elements, essential for lattice QCD and phenomenological analyses.

Findings

Chiral logarithmic corrections quantified for relevant operators

Facilitates more accurate lattice estimates of bag parameters

Improves theoretical understanding of heavy meson decay processes

Abstract

We determine the chiral corrections to the matrix elements of the Delta B=0 four-quark operators which are relevant to the studies of the ratios of lifetimes of heavy-light mesons as well as to the power corrections to the inclusive semileptonic heavy-to-light decays. The chiral logarithmic corrections computed here can be combined with the forthcoming estimates of the corresponding matrix elements on the lattice to provide the reliable physics result of the well known bag-parameters B_(1,2) and epsilon_(1,2).