On the expected photon spectrum in B --> X + gamma and its uses

Feb, 2002
19 pages
Published in:
  • Int.J.Mod.Phys.A 17 (2002) 4709-4732
e-Print:
Report number:
  • UND-HEP-02-BIG06,
  • BICOCCA-FT-02-2

Citations per year

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Abstract:
Measuring the photon energy spectrum in radiative B decays provides essential help for gaining theoretical control over semileptonic B transitions. The hadronic recoil mass distribution in B -> X_u \ell\nu promises the best environment for determining |V_ub|. The theoretical uncertainties are largest in the domain of low values of the lepton pair mass q^2. Universality relations allow to describe this domain reliably in terms of the photon spectrum in B -> X_s + \gamma. A method is proposed to incorporate 1/m_b corrections into this relation. The low-E_\gamma tail in radiative decays is important in the context of extracting |V_ub|. We argue that CLEO's recent fit to the spectrum underestimates the fraction of the photon spectrum below 2 GeV. Potentially significant uncertainties enter in the theoretical evaluation of the integrated end-point lepton spectrum or the B -> X_u \ell\nu width with a too high value of the lower cut on q^2 in alternative approaches to |V_ub|.
  • talk: Geneva 2002/02/13
  • B: radiative decay
  • photon: energy spectrum
  • perturbation theory
  • form factor: Sudakov
  • B: semileptonic decay
  • CKM matrix matrix
  • hadron: mass spectrum
  • B: width
  • differential cross section