Systematic effects in the lattice calculation of inclusive semileptonic decays

TL;DR

This paper presents a lattice QCD calculation of the inclusive semileptonic decay of the $D_s$ meson, addressing systematic uncertainties and covering the full kinematic range.

Contribution

It introduces updated strategies for estimating systematic uncertainties in lattice calculations of inclusive decay rates, including finite-volume effects and approximation choices.

Findings

Simulated the $D_s ightarrow X_s\,\ell\nu_\ell$ decay with near-physical quark masses.

Covered the entire kinematic region of the decay process.

Focused on quantifying systematic errors from approximation strategies and finite-volume effects.

Abstract

We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell\nu_\ell$ process with M\"obius domain-wall charm and strange quarks, whose masses are approximately tuned to their physical values. Our simulations cover the whole kinematical region. The focus of this work is to present updates on our strategies towards estimating the systematic uncertainties in the determination of the inclusive decay rate. We specifically focus on the systematic errors due to the choice of our approximation strategy and finite-volume effects.