Simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes

被引:28
作者
Assadsolimani, Mohammad [1 ]
Becker, Sebastian [1 ]
Weinzierl, Stefan [1 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
来源
PHYSICAL REVIEW D | 2010年 / 81卷 / 09期
关键词
CROSS-SECTIONS; SOFT;
D O I
10.1103/PhysRevD.81.094002
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that a well-known simple formula for the explicit infrared poles of one-loop QCD amplitudes has a corresponding simple counterpart in unintegrated form. The unintegrated formula approximates the integrand of one-loop QCD amplitudes in all soft and collinear singular regions. It thus defines a local counterterm for the infrared singularities and can be used as an ingredient for the numerical calculation of one-loop amplitudes.
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页数:5
相关论文
共 21 条
[1]   Infrared Singularities of Scattering Amplitudes in Perturbative QCD [J].
Becher, Thomas ;
Neubert, Matthias .
PHYSICAL REVIEW LETTERS, 2009, 102 (16)
[2]   RECURSIVE CALCULATIONS FOR PROCESSES WITH N GLUONS [J].
BERENDS, FA ;
GIELE, WT .
NUCLEAR PHYSICS B, 1988, 306 (04) :759-808
[3]   ONE-LOOP CORRECTIONS TO 2-QUARK 3-GLUON AMPLITUDES [J].
BERN, Z ;
DIXON, L ;
KOSOWER, DA .
NUCLEAR PHYSICS B, 1995, 437 (02) :259-304
[4]   A general algorithm for calculating jet cross sections in NLO QCD [J].
Catani, S ;
Seymour, MH .
NUCLEAR PHYSICS B, 1997, 485 (1-2) :291-419
[5]   The dipole formalism for next-to-leading order QCD calculations with massive partons [J].
Catani, S ;
Dittmaier, S ;
Seymour, MH ;
Trócsányi, Z .
NUCLEAR PHYSICS B, 2002, 627 (1-2) :189-265
[6]   Separation of soft and collinear singularities from one-loop N-point integrals [J].
Dittmaier, S .
NUCLEAR PHYSICS B, 2003, 675 (1-2) :447-466
[7]   Scalar one-loop integrals for QCD [J].
Ellis, R. Keith ;
Zanderighi, Giulia .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (02)
[8]   Two-Loop Divergences of QCD Scattering Amplitudes with Massive Partons [J].
Ferroglia, Andrea ;
Neubert, Matthias ;
Pecjak, Ben D. ;
Yang, Li Lin .
PHYSICAL REVIEW LETTERS, 2009, 103 (20)
[9]   Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes [J].
Gardi, Einan ;
Magnea, Lorenzo .
JOURNAL OF HIGH ENERGY PHYSICS, 2009, (03)
[10]  
GIELE WT, 1980, PHYS REV D, V46, P1992