Weak Decays of Heavy-Light Mesons on the Lattice: Semi-Leptonic Formfactors

TL;DR

This paper presents lattice QCD calculations of semi-leptonic form factors for B and D meson decays, addressing uncertainties in mass extrapolations and validating a nonperturbative current renormalization scheme.

Contribution

It provides new lattice results for heavy-light meson decay form factors and tests the LMK renormalization scheme for vector currents.

Findings

Good agreement with the LMK renormalization scheme.

Quantified uncertainties from mass extrapolations.

Results on semi-leptonic form factors for B and D decays.

Abstract

We report results (on an intermediate statistics sample) of a study of weak semi-leptonic formfactors of $B$ and $D$ decays, addressing the uncertainties from mass extrapolations to chiral and to heavy quarks. Moreover, we present a nonperturbative test to the LMK current renormalization scheme for vector current {\it transition} matrix elements and find remarkable agreement.