Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
M. Beneke (RWTH Aachen University, University of Zurich), T. Huber, (RWTH Aachen University), Xin-Qiang Li (RWTH Aachen University)
TL;DR
This paper computes the two-loop QCD corrections to form factors in semi-leptonic b to u decays, enabling more precise determination of the CKM matrix element |V_ub| in the shape-function region.
Contribution
It provides the final missing two-loop QCD correction necessary for an O(alpha_s^2) calculation of |V_ub| from inclusive semi-leptonic B decays.
Findings
Two-loop QCD correction calculated for on-shell b-quark decay.
Enables more accurate extraction of |V_ub| from experimental data.
Completes the theoretical precision needed for inclusive semi-leptonic decay analysis.
Abstract
We calculate the two-loop QCD correction to the form factors of on-shell b-quark decay to an energetic massless quark, which constitutes the last missing piece required for an O(alpha_s^2) determination of |V_ub| from inclusive semi-leptonic \bar B --> X_u l nu decays in the shape-function region.
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