Quenched lattice calculation of semileptonic heavy-light meson form factors

TL;DR

This paper presents a quenched lattice QCD calculation of heavy-light meson form factors, providing non-perturbative corrections to B to D decay rates, relevant for understanding semileptonic B decays.

Contribution

It offers the first continuum limit calculation of heavy-light meson form factors in quenched lattice QCD, including non-perturbative corrections for B to D decays.

Findings

Form factors for various meson masses at finite momentum transfer

Non-perturbative correction to B --> D l nu decay rate

Results applicable for different lepton masses

Abstract

We calculate, in the continuum limit of quenched lattice QCD, the matrix elements of the heavy-heavy vector current between heavy-light pseudoscalar meson states. We present the form factors for different values of the initial and final meson masses at finite momentum transfer. In particular, we calculate the non-perturbative correction to the differential decay rate of the process B --> D l nu including the case of a non-vanishing lepton mass.