Integration Rules for Loop Scattering Equations

Christian Baadsgaard; N. Emil J. Bjerrum-Bohr; Jacob Lewis Bourjaily; Poul Henrik Damgaard; Bo Feng

doi:10.1007/JHEP11(2015)080

Integration Rules for Loop Scattering Equations

Christian Baadsgaard, N. Emil J. Bjerrum-Bohr, Jacob Lewis Bourjaily, Poul Henrik Damgaard, Bo Feng

Theoretical high energy, astroparticle and gravitational physics

40 Citations (Scopus)

159 Downloads (Pure)

Abstract

Abstract: 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 φ³-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.

Original language	English
Article number	080
Journal	Journal of High Energy Physics (Online)
Volume	2015
Issue number	11
ISSN	1126-6708
DOIs	https://doi.org/10.1007/JHEP11(2015)080
Publication status	Published - 1 Nov 2015

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title = "Integration Rules for Loop Scattering Equations",

abstract = "Abstract: 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 φ3-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.",

author = "Christian Baadsgaard and Bjerrum-Bohr, {N. Emil J.} and Bourjaily, {Jacob Lewis} and Damgaard, {Poul Henrik} and Bo Feng",

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AU - Baadsgaard, Christian

AU - Bjerrum-Bohr, N. Emil J.

AU - Bourjaily, Jacob Lewis

AU - Damgaard, Poul Henrik

AU - Feng, Bo

PY - 2015/11/1

Y1 - 2015/11/1

N2 - Abstract: 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 φ3-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.

AB - Abstract: 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 φ3-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.

U2 - 10.1007/JHEP11(2015)080

DO - 10.1007/JHEP11(2015)080

M3 - Journal article

SN - 1126-6708

VL - 2015

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 11

M1 - 080

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Integration Rules for Loop Scattering Equations

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