The unitarity method using a canonical basis approach

被引:15
作者
Dunbar, David C. [1 ]
Perkins, Warren B. [1 ]
Warrick, Edmund [1 ]
机构
[1] Univ Coll Swansea, Dept Phys, Swansea, W Glam, Wales
基金
英国科学技术设施理事会;
关键词
NLO Computations; Supersymmetric gauge theory; QCD; ONE-LOOP AMPLITUDES; GAUGE-THEORY; HELICITY AMPLITUDES; TREE AMPLITUDES; SINGULARITIES; QCD; CUT;
D O I
10.1088/1126-6708/2009/06/056
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
Various implementations of the Unitrarity method have been developed to compute one-loop amplitudes in gauge theories. In this paper we present an implementation which uses canonical forms to generate the rational coefficients of the basis integral functions. As an example, we present the results for the N = 1 contribution to seven gluon scattering in closed, rational, analytic form.
引用
收藏
页数:41
相关论文
共 61 条
[51]   Reducing full one-loop amplitudes to scalar integrals at the integrand level [J].
Ossola, Giovanni ;
Papadopoulos, Costas G. ;
Pittau, Roberto .
NUCLEAR PHYSICS B, 2007, 763 (1-2) :147-169
[52]   ONE-LOOP CORRECTIONS FOR MU+MU- ANNIHILATION INTO MU+MU- IN THE WEINBERG MODEL [J].
PASSARINO, G ;
VELTMAN, M .
NUCLEAR PHYSICS B, 1979, 160 (01) :151-207
[53]   GENERALIZED VENEZIANO MODEL WITH ISOSPIN [J].
PATON, JE ;
CHANG, HM .
NUCLEAR PHYSICS B, 1969, B 10 (03) :516-&
[54]  
Risager K., 2005, JHEP, V10, P003
[55]   Dissolving N=4 loop amplitudes into QCD tree amplitudes -: art. no. 102002 [J].
Roiban, R ;
Spradlin, M ;
Volovich, A .
PHYSICAL REVIEW LETTERS, 2005, 94 (10)
[56]   ALGEBRAIC REDUCTION OF ONE-LOOP FEYNMAN DIAGRAMS TO SCALAR INTEGRALS [J].
STUART, RG .
COMPUTER PHYSICS COMMUNICATIONS, 1988, 48 (03) :367-389
[57]   DIMENSIONAL REGULARIZATION OF MASS AND INFRARED SINGULARITIES IN 2-LOOP ON-SHELL VERTEX FUNCTIONS [J].
VANNEERVEN, WL .
NUCLEAR PHYSICS B, 1986, 268 (02) :453-488
[58]  
VANOLDENBORGH GJ, 1990, Z PHYS C PART FIELDS, V46, P425, DOI 10.1007/BF01621031
[59]   Perturbative gauge theory as a string theory in twistor space [J].
Witten, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 252 (1-3) :189-258
[60]   The rational parts of one-loop QCD amplitudes III: The six-gluon case [J].
Xiao, Zhi-Guang ;
Yang, Gang ;
Zhu, Chuan-Jie .
NUCLEAR PHYSICS B, 2006, 758 (1-2) :53-89