In this contribution we describe a recent study focused on the lattice calculation of inclusive decay rates of heavy mesons. We show how the inclusive calculation can be achieved starting from four-point lattice correlation functions normalised appropriately. The correlators used in this project come from gauge ensembles provided by the JLQCD and ETM collaborations. An essential point of this method is the extraction of spectral densities from lattice correlators which is obtained using two of the most recent approaches in the literature. Our results are in remarkable agreement with analytical predictions from the operator-product expansion. This study represents the first step towards a full lattice QCD study of heavy mesons inclusive semileptonic decays.
Inclusive semileptonic $D_s\to X_s\ell\barν$ decays from lattice QCD: continuum and chiral extrapolation
High Energy Accelerator Research Organization (KEK)（高能加速器研究机构）；PRISMA++ Cluster of Excellence & Institut für Kernphysik, Johannes-Gutenberg-Universität Mainz（美因茨约翰内斯·古腾堡大学 PRISMA++ 卓越集群与核物理研究所）；School of Physics and Astronomy, University of Southampton（南安普顿大学物理与天文学院）；STAG Research Center, University of Southampton（南安普顿大学 STAG 研究中心）；School of High Energy Accelerator Science, SOKENDAI (The Graduate University for Advanced Studies)（高级研究院（SOKENDAI）高能加速器科学学校）；RIKEN Center for Computational Science (R-CCS)（理化学研究所计算科学中心）；CERN, Theoretical Physics Department（欧洲核子研究中心理论物理部）
Inclusive and exclusive semileptonic decays of heavy mesons on the lattice
High Energy Accelerator Research Organization (KEK)（高能加速器研究机构）；University of Southampton（南安普顿大学）；SOKENDAI (The Graduate University for Advanced Studies)（高级研究院索卡代）；CERN（欧洲核子研究中心）
Study on the systematic effects on $b \to c$ inclusive semileptonic decays
University of Southampton（南安普顿大学）；STAG Research Center, University of Southampton（南安普顿大学STAG研究中心）；High Energy Accelerator Research Organization (KEK)（高能加速器研究机构（KEK））；SOKENDAI (The Graduate University for Advanced Studies)（综合研究大学院大学）；CERN（欧洲核子研究中心）
本文通过格点QCD计算$B_s \to X_c l ν_l$衰变，探讨系统误差来源，包括雅各比平滑的影响、源-汇分离变化及包络重建方法的固有不确定性，并展示如何通过将地面态贡献视为排除性衰变来抑制系统误差。
