NNLO corrections to inclusive semileptonic B decays in the shape-function region

被引:46
作者
Bell, Guido [1 ]
机构
[1] Univ Karlsruhe, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany
关键词
MESON DECAYS; QCD FACTORIZATION; HARMONIC POLYLOGARITHMS; DIFFERENTIAL-EQUATIONS; PHOTON ENERGY; 2-LOOP RESULT; WILSON LOOPS; RENORMALIZATION; QUARK; DISTRIBUTIONS;
D O I
10.1016/j.nuclphysb.2008.12.018
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We compute 2-loop QCD corrections to the hard coefficient functions which arise in the factorization formula for B -> X(u)l nu decays in the shape-function region. Our calculation provides the last missing piece required for a NNLO analysis of inclusive semileptonic B decays, which may significantly reduce the theoretical uncertainty in the extraction of the CKM matrix element vertical bar V(ub)broken vertical bar. Among the technical aspects, we find that the 2-loop hard coefficient functions are free of infrared singularities as predicted by the factorization framework. We perform a brief numerical analysis of the NNLO corrections and include a discussion on charm mass effects. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:264 / 289
页数:26
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