Kinetic corrections to B -> X_c l nu at one loop

Abstract

We evaluate the one-loop corrections to the Wilson coefficient of the kinetic operator in the operator product expansion of the differential B -> X_c l nu decay rate. With a moderate cut on the lepton energy, the one-loop terms change the kinetic operator contributions to spectral moments by about 20%. This amounts to a small correction for leptonic and hadronic moments, except for those which vanish at the lowest order, where the effect can be sizable. Together with a two-loop calculation of the leading-power rate and an evaluation of the one-loop corrections to the Wilson coefficient of the chromo-magnetic operator, our results will allow for a high-precision determination of |V_cb| and the b- and c-quark masses.

18 pages, 2 figures

References in corpus (3)

• Inclusive Semi-leptonic B Decays to order 1/m_b^4
• Moments of the Hadronic Invariant Mass Spectrum in B --> X_c l nu Decays at Belle
• Moments of the electron energy spectrum and partial branching fraction of $B\to X_{c}e\nu$ decays at Belle

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