The q2 moments in inclusive semileptonic B decays

Abstract

A bstract We compute the first moments of the q 2 distribution in inclusive semileptonic B decays as functions of the lower cut on q 2 , confirming a number of results given in the literature and adding the $$ O\left({\alpha}_s^2{\beta}_0\right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:mrow> <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> <mml:msub> <mml:mi>β</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> </mml:mfenced> </mml:math> BLM contributions. We then include the q 2 -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 .