Integration rules for loop scattering equations

被引：59

作者：

Baadsgaard, Christian ^{[1
,2
]}

Bjerrum-Bohr, N. E. J. ^{[1
,2
]}

Bourjaily, Jacob L. ^{[1
,2
]}

Damgaard, Poul H. ^{[1
,2
]}

Feng, Bo ^{[1
,2
,3
]}

机构：

[1] Univ Copenhagen, Niels Bohr Int Acad, DK-2100 Copenhagen, Denmark

[2] Univ Copenhagen, Niels Bohr Inst, Discovery Ctr, DK-2100 Copenhagen, Denmark

[3] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 11期

基金：

美国国家科学基金会;

关键词：

Scattering Amplitudes; Duality in Gauge Field Theories; 1/N Expansion;

D O I：

10.1007/JHEP11(2015)080

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 formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar phi(3)-theory. This formalism greatly facilitates the evaluation of amplitudes in the CHY representation at one-loop order, without the need to explicitly sum over the solutions to the loop-level scattering equations.

引用

页码：1 / 20

页数：20

共 23 条

[1] Ambitwistor strings and the scattering equations at one loop [J].

Adamo, Tim ;

Casali, Eduardo ;

Skinner, David .

JOURNAL OF HIGH ENERGY PHYSICS, 2014, (04)

[2] Scattering equations and Feynman diagrams [J].

Baadsgaard, Christian ;

Bjerrum-Bohr, N. E. J. ;

Bourjaily, Jacob L. ;

Damgaard, Poul H. .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (09)

[3] Integration rules for scattering equations [J].

Baadsgaard, Christian ;

Bjerrum-Bohr, N. E. J. ;

Bourjaily, Jacob L. ;

Damgaard, Poul H. .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (09)

[4]

Berkovits N, 2014, J HIGH ENERGY PHYS, DOI [10.1007/JHEP03(2014)01, 10.1007/JHEP03(2014)017]

[5] The momentum kernel of gauge and gravity theories [J].

Bjerrum-Bohr, N. E. J. ;

Damgaard, Poul H. ;

Sondergaard, Thomas ;

Vanhove, Pierre .

JOURNAL OF HIGH ENERGY PHYSICS, 2011, (01)

[6] Gravity and Yang-Mills amplitude relations [J].

Bjerrum-Bohr, N. E. J. ;

Damgaard, Poul H. ;

Feng, Bo ;

Sondergaard, Thomas .

PHYSICAL REVIEW D, 2010, 82 (10)

[7] Proof of gravity and Yang-Mills amplitude relations [J].

Bjerrum-Bohr, N. E. J. ;

Damgaard, Poul H. ;

Feng, Bo ;

Sondergaard, Thomas .

JOURNAL OF HIGH ENERGY PHYSICS, 2010, (09)

[8] Scattering equations and string theory amplitudes [J].

Bjerrum-Bohr, N. Emil J. ;

Damgaard, Poul Henrik ;

Tourkine, Piotr ;

Vanhove, Pierre .

PHYSICAL REVIEW D, 2014, 90 (10)

[9]

Brandhuber A, 2006, J HIGH ENERGY PHYS

[10]

Cachazo F., 2014, COMMUNICATION

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