NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$

TL;DR

This paper calculates next-to-leading order QCD corrections to inclusive semitauonic B decays, incorporating heavy quark expansion up to order 1/m_b^3, providing analytical results with full mass dependence.

Contribution

It provides the first comprehensive calculation of alpha_s corrections to inclusive semitauonic B decays up to 1/m_b^3, including full mass dependence.

Findings

Analytical expressions for decay width and spectrum with full mass dependence.

Results applicable to B to X_u tau nu decays in the massless limit.

Enhanced precision for theoretical predictions of semitauonic B decays.

Abstract

This paper presents $\alpha_s$ corrections to the inclusive semitauonic $B \to X_c \tau \bar{\nu}_\tau$ decay width and leptonic invariant mass spectrum up to order $1/m_b^3$ in the heavy quark expansion. Analytical results with full dependence on the final-state quark and tau lepton masses are obtained. The results up to $1/m_b^2$ can be extrapolated to the $B \to X_u \tau \bar{\nu}_\tau$ decay by taking the limit of vanishing final-state quark mass.