$B\rightarrow D^{(*)}$ decays from $N_f=2+1+1$ highly improved staggered quarks and clover $b$-quark in the Fermilab interpretation

TL;DR

This paper updates the analysis of semileptonic B to D(*) decays using advanced lattice QCD techniques with multiple ensembles, aiming to improve the precision of form factor calculations for these processes.

Contribution

It introduces a refined lattice QCD computation of B to D(*) decay form factors employing $2+1+1$ flavor ensembles and the Fermilab interpretation for the b-quark, with preliminary results across various lattice spacings.

Findings

Preliminary form factor results for B→D(*) decays.

Use of multiple lattice spacings improves continuum extrapolation.

Enhanced precision in lattice QCD calculations of semileptonic decays.

Abstract

We present an update on the analysis of semileptonic $B\rightarrow D^{(*)}$ decays at non-zero recoil. Our computation employs $2 + 1 + 1$ FNAL-MILC ensembles with highly improved staggered quark (HISQ) action for sea and light valence quarks, while the bottom quark is treated using the clover action in the Fermilab interpretation. Simulations are performed across several lattice spacings, ranging approximately from $\sim 0.15$ fm to $\sim 0.06$ fm, and for various quark masses. We will present an overview of the analysis and show some preliminary results for the form factors.