Leading logarithms of the b quark mass in inclusive B → Xsγ decay

Part of the order α s correction to the inclusive B → X s γ photon spectrum is enhanced by log( m b 2 m s 2 ) . We discuss its origin and sum the corrections proportional to [α s log( m b 2 μ 2 )] n to all orders. These are the calculable leading logarithms in the parton fragmentation functions of a...

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Bibliographic Details
Published in:Physics letters. B 1995-09, Vol.357 (4), p.653-658
Main Authors: Kapustin, Anton, Ligeti, Zoltan, Politzer, H.David
Format: Article
Language:English
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Summary:Part of the order α s correction to the inclusive B → X s γ photon spectrum is enhanced by log( m b 2 m s 2 ) . We discuss its origin and sum the corrections proportional to [α s log( m b 2 μ 2 )] n to all orders. These are the calculable leading logarithms in the parton fragmentation functions of a quark or gluon into a photon. Although the gluon fragmentation into a photon starts only at order α s 2, its contribution is of the same order as the s quark's in the leading log sum. For not too small values of the photon energy, the resummation.yields a moderate suppression. In the standard model, the coefficient of the operator whose matrix element gives rise to such terms is small. A measurement of the photon spectrum around 1 GeV would provide a theoretically clean determination of C 8, the Wilson coefficient of the b → s g operator.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(95)00962-K