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
[1]   Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes [J].
Anastasiou, Charalampos ;
Britto, Ruth ;
Feng, Bo ;
Kunszt, Zoltan ;
Mastrolia, Pierpaolo .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (03)
[2]   d-dimensional unitarity cut method [J].
Anastasiou, Charalampos ;
Britto, Ruth ;
Feng, Bo ;
Kunszt, Zoltan ;
Mastrolia, Pierpaolo .
PHYSICS LETTERS B, 2007, 645 (2-3) :213-216
[3]   Direct extraction of one loop rational terms [J].
Badger, S. D. .
JOURNAL OF HIGH ENERGY PHYSICS, 2009, (01)
[4]   THE 6-GLUON PROCESS AS AN EXAMPLE OF WEYL-VANDERWAERDEN SPINOR CALCULUS [J].
BERENDS, FA ;
GIELE, W .
NUCLEAR PHYSICS B, 1987, 294 (03) :700-732
[5]   Automated implementation of on-shell methods for one-loop amplitudes [J].
Berger, C. F. ;
Bern, Z. ;
Dixon, L. J. ;
Cordero, F. Febres ;
Forde, D. ;
Ita, H. ;
Kosower, D. A. ;
Maitre, D. .
PHYSICAL REVIEW D, 2008, 78 (03)
[6]   Bootstrapping one-loop QCD amplitudes with general helicities [J].
Berger, Carola F. ;
Bern, Zvi ;
Dixon, Lance J. ;
Forde, Darren ;
Kosower, David A. .
PHYSICAL REVIEW D, 2006, 74 (03)
[7]   All one-loop maximally helicity violating gluonic amplitudes in QCD [J].
Berger, Carola F. ;
Bern, Zvi ;
Dixon, Lance J. ;
Forde, Darren ;
Kosower, David A. .
PHYSICAL REVIEW D, 2007, 75 (01)
[8]   One-loop self-dual and N=4 super Yang-Mills [J].
Bern, Z ;
Dixon, L ;
Dunbar, DC ;
Kosower, DA .
PHYSICS LETTERS B, 1997, 394 (1-2) :105-115
[9]   Unexpected cancellations in gravity theories [J].
Bern, Z. ;
Carrasco, J. J. ;
Forde, D. ;
Ita, H. ;
Johansson, H. .
PHYSICAL REVIEW D, 2008, 77 (02)
[10]   Massive loop amplitudes from unitarity [J].
Bern, Z ;
Morgan, AG .
NUCLEAR PHYSICS B, 1996, 467 (03) :479-509