Kapustin, Anton and Ligeti, Zoltan and Politzer, H. David (1995) Leading logarithms of the b quark mass in inclusive B → Xs γ decay. Physics Letters B, 357 (4). pp. 653-658. ISSN 0370-2693. doi:10.1016/0370-2693(95)00962-K. https://resolver.caltech.edu/CaltechAUTHORS:20160915-085815399
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Abstract
Part of the order αs correction to the inclusive B → Xs γ photon spectrum is enhanced by log(mb2ms2). We discuss its origin and sum the corrections proportional to [αs log(mb2μ2)]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 αs2, 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 C8, the Wilson coefficient of the b → s g operator.
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| Additional Information: | @ 1995 Elsevier Science B.V. Received 12 July 1995. Work supported in part by the U.S. Dept. of Energy under Grant no. DE-FG03-92-ER 40701. We thank Mark Wise for many useful discussions and Peter Cho and Ira Rothstein for helpful conversations. After this work was completed we received the preprint [ 171, which also discusses the loss contribution to the photon spectrum. Our result in Eq. (2.3) agrees with Eq. (18) of [ 171. Ref. [ 171 mentions that soft photons could be summed to eliminate the singularity near E, = 0, but our main point is that resumming collinear gluons is relevant for any photon energy. | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1016/0370-2693(95)00962-K | |||||||||
| Record Number: | CaltechAUTHORS:20160915-085815399 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160915-085815399 | |||||||||
| Official Citation: | Anton Kapustin, Zoltan Ligeti, H.David Politzer, Leading logarithms of the b quark mass in inclusive B → Xs γ decay, Physics Letters B, Volume 357, Issue 4, 1995, Pages 653-658, ISSN 0370-2693, http://dx.doi.org/10.1016/0370-2693(95)00962-K. (http://www.sciencedirect.com/science/article/pii/037026939500962K) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 70362 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 29 Sep 2016 23:09 | |||||||||
| Last Modified: | 11 Nov 2021 04:28 |
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