Analytic Form of Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD

被引：94

作者：

Abreu, S. ^{[1
]}

Dormans, J. ^{[2
]}

Cordero, F. Febres ^{[2
,3
]}

Ita, H. ^{[2
]}

Page, B. ^{[4
]}

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, D-79104 Freiburg, Germany

[3] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA

[4] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, F-91191 Gif Sur Yvette, France

来源：

PHYSICAL REVIEW LETTERS | 2019年 / 122卷 / 08期

关键词：

ONE-LOOP AMPLITUDES; UNITARITY;

D O I：

10.1103/PhysRevLett.122.082002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the analytic form of the planar two-loop five-gluon scattering amplitudes in QCD for a complete set of independent helicity configurations of external gluons. These include the first analytic results for five-point two-loop amplitudes relevant for the computation of next-to-next-to-leading-order QCD corrections at hadron colliders. The results were obtained by reconstructing analytic expressions from numerical evaluations. The complexity of the computation is reduced by exploiting physical and analytical properties of the amplitudes, employing a minimal basis of so-called pentagon functions that have recently been classified.

引用

页数：6

共 41 条

[11] A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory [J].

Badger, Simon ;

Mogull, Gustav ;

Ochirov, Alexander ;

O'Connell, Donal .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (10)

[12] A two-loop five-gluon helicity amplitude in QCD [J].

Badger, Simon ;

Frellesvig, Hjalte ;

Zhang, Yang .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (12)

[13] Infrared Singularities of Scattering Amplitudes in Perturbative QCD [J].

Becher, Thomas ;

Neubert, Matthias .

PHYSICAL REVIEW LETTERS, 2009, 102 (16)

[14] 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)

[15] ONE-LOOP CORRECTIONS TO 5-GLUON AMPLITUDES [J].

BERN, Z ;

DIXON, L ;

KOSOWER, DA .

PHYSICAL REVIEW LETTERS, 1993, 70 (18) :2677-2680

[16] FUSING GAUGE-THEORY TREE AMPLITUDES INTO LOOP AMPLITUDES [J].

BERN, Z ;

DIXON, L ;

DUNBAR, DC ;

KOSOWER, DA .

NUCLEAR PHYSICS B, 1995, 435 (1-2) :59-101

[17] ONE-LOOP N-POINT GAUGE-THEORY AMPLITUDES, UNITARITY AND COLLINEAR LIMITS [J].

BERN, Z ;

DIXON, L ;

DUNBAR, DC ;

KOSOWER, DA .

NUCLEAR PHYSICS B, 1994, 425 (1-2) :217-260

[18] Two-loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory [J].

Bern, Z ;

De Freitas, A ;

Dixon, L .

JOURNAL OF HIGH ENERGY PHYSICS, 2002, (03) :287-343

[19]

Boels R.H., ARXIV180206761, Patent No. 180206761

[20] Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills [J].

Britto, R ;

Cachazo, F ;

Feng, B .

NUCLEAR PHYSICS B, 2005, 725 (1-2) :275-305

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