Seminarium "Teoria cząstek elementarnych i kosmologia"

A precise determination of the V_cb element of the CKM matrix plays an important role in restricting uncertainties in several phenomenologically important observables. Its value can be extracted from the decay width and kinematic moments of the inclusive semileptonic decay of the B meson. In this talk, I will review the theoretical framework used in calculations of these quantities. I will focus on developments in the computation of the di-lepton mass squared q² moments, and discuss their role in the extraction of V_cb, facilitated by recent experiments in Belle and Belle II. I will also discuss the ongoing computation of O(alpha_s^3) perturbative corrections to the full q² spectrum.