Analytic form of the planar two-loop five-parton scattering amplitudes in QCD

被引：91
作者：
Abreu, S. [1 ]
Dormans, J. [2 ]
Cordero, F. Febres [2 ,3 ]
Ita, H. [2 ]
Page, B. [4 ]
Sotnikov, V. [2 ]
机构：
[1] Catholic Univ Louvain, Ctr Cosmol Particle Phys & Phenomenol CP3, B-1348 Louvain La Neuve, Belgium
[2] Albert Ludwigs Univ Freiburg, Phys Inst, Hermann Herder Str 3, D-79104 Freiburg, Germany
[3] Florida State Univ, Phys Dept, 77 Chieftan Way, Tallahassee, FL 32306 USA
[4] Univ Paris Saclay, CNRS, CEA, Inst Phys Theor, F-91191 Gif Sur Yvette, France
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 05期
关键词：
Perturbative QCD; Scattering Amplitudes; ONE-LOOP AMPLITUDES; UNITARITY;
D O I：
10.1007/JHEP05(2019)084
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 present the analytic form of all leading-color two-loop five-parton helicity amplitudes in QCD. The results are analytically reconstructed from exact numerical evaluations over finite fields. Combining a judicious choice of variables with a new approach to the treatment of particle states in D dimensions for the numerical evaluation of amplitudes, we obtain the analytic expressions with a modest computational effort. Their systematic simplification using multivariate partial-fraction decomposition leads to a particularly compact form. Our results provide all two-loop amplitudes required for the calculation of next-to-next-to-leading order QCD corrections to the production of three jets at hadron colliders in the leading-color approximation.
引用
收藏
页数：32
相关论文
共 77 条
[1]   Analytic Form of Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD [J].
Abreu, S. ;
Dormans, J. ;
Cordero, F. Febres ;
Ita, H. ;
Page, B. .
PHYSICAL REVIEW LETTERS, 2019, 122 (08)
[2]   Planar two-loop five-parton amplitudes from numerical unitarity [J].
Abreu, S. ;
Cordero, F. Febres ;
Ita, H. ;
Page, B. ;
Sotnikov, V. .
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (11)
[3]   Planar two-loop five-gluon amplitudes from numerical unitarity [J].
Abreu, S. ;
Cordero, F. Febres ;
Ita, H. ;
Page, B. ;
Zeng, M. .
PHYSICAL REVIEW D, 2018, 97 (11)
[4]   Subleading poles in the numerical unitarity method at two loops [J].
Abreu, S. ;
Cordero, F. Febres ;
Ita, H. ;
Jaquier, M. ;
Page, B. .
PHYSICAL REVIEW D, 2017, 95 (09)
[5]  
ABREU S, 2001, PHYSREVLETT, V119
[6]   Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory [J].
Abreu, Samuel ;
Dixon, Lance J. ;
Herrmann, Enrico ;
Page, Ben ;
Zeng, Mao .
PHYSICAL REVIEW LETTERS, 2019, 122 (12)
[7]  
Abreu S, 2019, J HIGH ENERGY PHYS, DOI 10.1007/JHEP03(2019)123
[8]   NLO QCD predictions for Wb(b)over-bar production in association with up to three light jets at the LHC [J].
Anger, F. R. ;
Cordero, F. Febres ;
Ita, H. ;
Sotnikov, V. .
PHYSICAL REVIEW D, 2018, 97 (03)
[9]  
ANGER FR, ARXIV180311127
[10]  
[Anonymous], 2015, An introduction to computational algebraic geometry and commutative algebra, DOI [10.1007/978-3-319-16721-3, DOI 10.1007/978-3-319-16721-3]
12345678