Chiral 1/M^2 corrections to B^(*) -> D^(*) at Zero Recoil in Quenched Chiral Perturbation Theory

TL;DR

This paper calculates the leading 1/M^2 chiral corrections to B(*) -> D(*) decays at zero recoil within quenched chiral perturbation theory, aiding lattice QCD extrapolations.

Contribution

It introduces the first calculation of O(1/M^2) heavy quark symmetry breaking effects at zero recoil in quenched chiral perturbation theory.

Findings

Provides explicit formulas for chiral corrections at zero recoil.

Facilitates more accurate extrapolation of lattice QCD results.

Enhances understanding of heavy quark symmetry breaking effects.

Abstract

Heavy quark effective theory can be used to calculate the values of the semileptonic B^(*) -> D^(*) decays in the limit that the heavy quark masses are infinite. We calculate the lowest order chiral corrections, which are of O(1/M^2), from the breaking of heavy quark symmetry at the zero recoil point in quenched chiral perturbation theory. These results will aid in the extrapolation of quenched lattice calculations from the light quark masses used on the lattice down to the physical ones.