NNLO QCD corrections to the B¯→Xsγ matrix elements using interpolation in mc
By M. Misiak, Matthias Steinhauser. 2006
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Abstract One of the most troublesome contributions to the NNLO QCD corrections to B ¯ → X s γ originates from three-loop matrix elements of four-quark operators. A part of this contribution that is proportional to the QCD beta-function coefficient β 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 β 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 β 0 -part is a good approximation at m c = 0 . Combining our results with other contributions to the NNLO QCD corrections, we find B ( B ¯ → X s γ ) = ( 3.15 ± 0.23 ) × 10 −4 for E γ > 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%).
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/766e19f3f4cbcf47636844ff815d7c685753e345
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Citations in the corpus
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