Summing Sudakov logarithms in B→Xsγ in effective field theory -: art. no. 014006

被引:784
作者
Bauer, CW [1 ]
Fleming, S [1 ]
Luke, M [1 ]
机构
[1] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada
关键词
D O I
10.1103/PhysRevD.63.014006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We construct an effective field theory valid for processes in which highly energetic light-like particles interact with collinear and soft degrees of freedom, using the decay B-->X(s)gamma near the end point of the photon spectrum, x = 2E(gamma)/m(b)-->1, as an example. Below the scale mu = m(b) both soft and collinear degrees of freedom are included in the effective theory, while below the scale mu =m(b)rootx-y, where 1-y is the light cone momentum fraction of the b quark in the B meson, we match onto a theory of bilocal operators. We show that at one loop large logarithms cancel in the matching conditions, and that we recover the well-known renormalization group equations that sum leading Sudakov logarithms.
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页数:13
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共 69 条
[1]   Factorization and effective theories [J].
Aglietti, U ;
Corbo, G .
PHYSICS LETTERS B, 1998, 431 (1-2) :166-172
[2]   Factorization in exclusive and semi-inclusive heavy flavor decays and effective theories for massless particles [J].
Aglietti, U ;
Corbò, G .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2000, 15 (03) :363-393
[3]   Matching of the shape function [J].
Aglietti, U ;
Ricciardi, G .
PHYSICS LETTERS B, 1999, 466 (2-4) :313-318
[4]   Leading logarithms in field theory [J].
Aglietti, U ;
Corbò, G ;
Trentadue, L .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1999, 14 (11) :1769-1788
[5]   The structure function of semi-inclusive heavy flavour decays in field theory [J].
Aglietti, U ;
Ricciardi, G .
NUCLEAR PHYSICS B, 2000, 587 (1-3) :363-399
[6]   Extraction of V-ub from inclusive B decays and the resummation of end point logarithms [J].
Akhoury, R ;
Rothstein, IZ .
PHYSICAL REVIEW D, 1996, 54 (03) :2349-2362
[7]   Evolution of the light-cone distribution function for a heavy quark [J].
Balzereit, C ;
Mannel, T ;
Kilian, W .
PHYSICAL REVIEW D, 1998, 58 (11)
[8]   Resumming phase space logarithms in inclusive semileptonic B decays [J].
Bauer, C ;
Falk, AF ;
Luke, M .
PHYSICAL REVIEW D, 1996, 54 (03) :2097-2107
[9]   A model independent determination of |Vub| [J].
Bauer, CW ;
Ligeti, Z ;
Luke, M .
PHYSICS LETTERS B, 2000, 479 (04) :395-401
[10]   QCD factorization for B → ππ decays:: Strong phases and CP violation in the heavy quark [J].
Beneke, M ;
Buchalla, G ;
Neubert, M ;
Sachrajda, CT .
PHYSICAL REVIEW LETTERS, 1999, 83 (10) :1914-1917