Two-loop QCD corrections to semileptonic b-quark decays near maximum recoil

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, 4 figures, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.73.114009

Two-gluon radiative corrections to the $b\to c\ell\nu$ decay width have been computed analytically as an expansion in terms of \frac{m_c}{m_b} << 1 in the kinematical limit of zero lepton invariant mass. The obtained results match smoothly with a previously known expansion around (1 - \frac{m_c}{m_b} << 1. Together they describe the process $b\to c\ell\nu$ for all mass ratios \frac{m_c}{m_b}.

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