Studies on finite-volume effects in the inclusive semileptonic decays of charmed mesons

TL;DR

This study investigates finite-volume effects in lattice calculations of the inclusive semileptonic decay of the $D_s$ meson, aiming to improve the accuracy of theoretical predictions by modeling and extrapolating finite-volume data.

Contribution

The paper introduces a model for two-body final states to analyze and correct finite-volume effects in lattice QCD simulations of $D_s$ meson decays.

Findings

Finite-volume effects can be systematically modeled and extrapolated.

The approach enables more accurate decay rate calculations.

Finite-volume corrections are essential for precise lattice QCD results.

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 were approximately tuned to the physical values. We cover the whole kinematical region. The focus of this work is on the systematic error due to finite-volume effects. We construct a model of two-body final states to describe the data on a finite volume lattice of $L \simeq 0.055 \, \text{fm}$ to investigate the extrapolation to the infinite-volume limit.