The q² moments in inclusive semileptonic B decays

We compute the first moments of the q² distribution in inclusive semileptonic B decays as functions of the lower cut on q², confirming a number of results given in the literature and adding the $O\left({\alpha }_s^2{\beta }_0\right)$ \( O\left({\alpha}_s^2{\beta}_0\right) \) BLM contributions. We then include the q²-moments recently measured by Belle and Belle II in a global fit to the moments. The new data are compatible with the other measurements and slightly decrease the uncertainty on the nonperturbative parameters and on |V_cb|. Our updated value is |V_cb| = (41.97 ± 0.48) × 10⁻³.