A lattice study of $\Lambda_b$ semileptonic decay

TL;DR

This paper reports a lattice QCD study of the semileptonic decay of the $ ext{Lambda}_b$ baryon into $ ext{Lambda}_c$, calculating form factors using improved quenched lattices and heavy quark methods.

Contribution

It provides new lattice QCD results for $ ext{Lambda}_b$ decay form factors using improved actions and quenched approximation, advancing theoretical understanding.

Findings

Form factors extracted from vector and axial-vector currents.

Use of $O(a^2, \alpha_s a^2)$ improved quenched lattices.

Application of Fermilab method for heavy quarks.

Abstract

We present results from a lattice study of the semileptonic decay $\Lambda_b \to \Lambda_c l \nu_l $. We use $O(a^2, \alpha_s a^2)$ improved quenched lattices of the MILC collaboration, with lattice spacing $\sim 0.13$ fm. For the valence quarks, the tadpole-improved clover action is used, with the Fermilab method employed for the heavy quarks. Form factors are extracted from the vector as well as the axial-vector part of the current.