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

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arxiv 2312.16442 v1 pith:5OC6NFGV submitted 2023-12-27 hep-lat

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

classification hep-lat
keywords effectsfinite-volumeinclusivelatticesemileptonicapproximatelycalculationcharm
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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