Lattice computation of $B \to D^*,\;D^{**}\ell \nu$ form factors at finite heavy masses

TL;DR

This paper introduces a lattice QCD approach to compute semileptonic decay form factors of B mesons into excited D** states using realistic charm quarks with finite mass, providing preliminary transition data.

Contribution

It presents a novel lattice computation strategy for B to D** decay form factors with finite charm quark masses, a first in the field.

Findings

Preliminary transition amplitudes and form factors obtained.

Results at different recoil momenta and b quark masses.

Method demonstrates feasibility of realistic charm quark inclusion.

Abstract

We propose a strategy to compute form factors entering the semileptonic decay channel of $B$ mesons into orbitally excited (P wave) $D^{**}$ charmed mesons on the lattice using, for the first time, realistic charm quarks having a finite mass. We present preliminary results about the extracted transition amplitudes and form factors at different recoils and at three different $b$ quark masses.