Master integrals for the two-loop penguin contribution in non-leptonic B-decays

被引：28

作者：

Bell, Guido ^{[1
]}

Huber, Tobias ^{[2
]}

机构：

[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

[2] Univ Siegen, Nat Wissensch Tech Fak, D-57068 Siegen, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 12期

关键词：

B-Physics; QCD; Heavy Quark Physics; CP violation; EXPANDING HYPERGEOMETRIC-FUNCTIONS; NNLO VERTEX CORRECTIONS; QCD FACTORIZATION; DIFFERENTIAL-EQUATIONS; SPECTATOR SCATTERING; NUMERICAL EVALUATION; MATHEMATICA PACKAGE; PI-PI; PRECISION; SECDEC;

D O I：

10.1007/JHEP12(2014)129

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 the master integrals that arise in the calculation of the leading penguin amplitudes in non-leptonic B-decays at two-loop order. The application of differential equations in a canonical basis enables us to give analytic results for all master integrals in terms of iterated integrals with rational weight functions. It is the first application of this method to the case of two different internal masses.

引用

页数：42

共 46 条

[11] Spectator scattering at NLO in non-leptonic B decays:: Leading penguin amplitudes
Beneke, M.
Jaeger, S.
[J]. NUCLEAR PHYSICS B, 2007, 768 (1-2) : 51 - 84
[12] Spectator scattering at NLO in non-leptonic B decays:: Tree amplitudes
Beneke, M.
Jager, S.
[J]. NUCLEAR PHYSICS B, 2006, 751 (1-2) : 160 - 185
[13] NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
Beneke, M.
Huber, T.
Li, Xin-Qiang
[J]. NUCLEAR PHYSICS B, 2010, 832 (1-2) : 109 - 151
[14] QCD factorization for B → ππ decays:: Strong phases and CP violation in the heavy quark
Beneke, M
Buchalla, G
Neubert, M
Sachrajda, CT
[J]. PHYSICAL REVIEW LETTERS, 1999, 83 (10) : 1914 - 1917
[15] QCD factorization in B → πK, ππ decays and extraction of Wolfenstein parameters
Beneke, M
Buchalla, G
Neubert, M
Sachrajda, CT
[J]. NUCLEAR PHYSICS B, 2001, 606 (1-2) : 245 - 321
[16] Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0
Borowka, Sophia
Carter, Jonathon
Heinrich, Gudrun
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2013, 184 (02) : 396 - 408
[17] Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
Caola, Fabrizio
Henn, Johannes M.
Melnikov, Kirill
Smirnov, Vladimir A.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (09): : 1 - 18
[18] SecDec: A general program for sector decomposition
Carter, Jonathon
Heinrich, Gudrun
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (07) : 1566 - 1581
[19] INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS
CHETYRKIN, KG
TKACHOV, FV
[J]. NUCLEAR PHYSICS B, 1981, 192 (01) : 159 - 204
[20] Automatized analytic continuation of Mellin-Barnes integrals
Czakon, M.
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2006, 175 (08) : 559 - 571

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