English

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

High Energy Physics - Phenomenology 2011-03-23 v1

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.

Keywords

Cite

@article{arxiv.0708.0855,
  title  = {Kinetic corrections to B -> X_c l nu at one loop},
  author = {Thomas Becher and Heike Boos and Enrico Lunghi},
  journal= {arXiv preprint arXiv:0708.0855},
  year   = {2011}
}

Comments

18 pages, 2 figures

R2 v1 2026-06-21T09:05:19.298Z