Comparison of lattice QCD results for inclusive semi-leptonic decays of $B$ mesons with the OPE

Abstract

A recently proposed approach to compute the inclusive semi-leptonic decay rate on the lattice allows for the calculation of various quantities (differential distributions and moments) in different subchannels. We systematically compare the lattice QCD results for an unphysically light bottom quark with OPE-based predictions, including leading order perturbative and $\mathcal{O}\left(1/m^3\right)$ power corrections, and explore possible strategies to decrease the systematic uncertainty.

Comments: 8 pages, 4 figures, proceedings to the 38th International Symposium on Lattice Field Theory (LATTICE21), 26-30 July 2021