Kinetic operator effects in B-> X_c l nu at O(alpha_s)

TL;DR

This paper calculates the first-order QCD corrections to the kinetic operator in inclusive semileptonic B decays, confirming previous results and setting the stage for further corrections to other coefficients.

Contribution

It provides an analytic computation of O(alpha_s) corrections to the kinetic operator's Wilson coefficient, aligning with reparameterization invariance and prior numerical findings.

Findings

Analytic O(alpha_s) correction matches previous numerical results.

Confirms reparameterization invariance in calculations.

Facilitates future corrections to other power-suppressed coefficients.

Abstract

We compute the O(alpha_s) corrections to the Wilson coefficient of the kinetic operator in inclusive semileptonic B decays. Our analytic calculation agrees with reparameterization invariance and with previous numerical results and paves the way to the calculation of analogous corrections to other power-suppressed coefficients.