NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c

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dc.creatorMisiak, Mikolaj
dc.creatorSteinhauser, Matthias
dc.date2006-09-22
dc.date2007-01-08
dc.date.accessioned2026-07-07T10:25:30Z
dc.date.available2026-07-07T10:25:30Z
dc.descriptionOne of the most troublesome contributions to the NNLO QCD corrections to B -> X_s gamma originates from three-loop matrix elements of four-quark operators. A part of this contribution that is proportional to the QCD beta-function coefficient beta_0 was found in 2003 as an expansion in m_c/m_b. In the present paper, we evaluate the asymptotic behaviour of the complete contribution for m_c >> m_b/2. The asymptotic form of the beta_0-part matches the small-m_c expansion very well at the threshold m_c = m_b/2. For the remaining part, we perform an interpolation down to the measured value of m_c, assuming that the beta_0-part is a good approximation at m_c=0. Combining our results with other contributions to the NNLO QCD corrections, we find BR(B -> X_s gamma) = (3.15 +_ 0.23) x 10^-4 for E_gamma > 1.6 GeV in the B-meson rest frame. The indicated error has been obtained by adding in quadrature the following uncertainties: non-perturbative (5%), parametric (3%), higher-order perturbative (3%), and the interpolation ambiguity (3%).
dc.description22 pages, 3 figures, references updated and a note added, Nucl. Phys. B to appear
dc.identifierhttps://arxiv.org/abs/hep-ph/0609241
dc.identifierhttp://arxiv.org/abs/hep-ph/0609241
dc.identifierNucl.Phys.B764:62-82,2007
dc.identifierdoi:10.1016/j.nuclphysb.2006.11.027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176562
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
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