Integrand oxidation and one-loop colour-dual numerators in N=4 gauge theory

N. Emil J. Bjerrum-Bohr; Tristan Lucas Dennen; Ricardo Jorge Ferreira Monteiro; Donal Francis O'Connell

doi:10.1007/jhep07(2013)092

Integrand oxidation and one-loop colour-dual numerators in N=4 gauge theory

N. Emil J. Bjerrum-Bohr, Tristan Lucas Dennen, Ricardo Jorge Ferreira Monteiro, Donal Francis O'Connell

60 Citations (Scopus)

Abstract

We present a systematic method to determine BCJ numerators for one-loop amplitudes that explores the global constraints on the loop momentum dependence. We apply this method to amplitudes in N=4 gauge theory, working out detailed examples up to seven points in both the MHV and the NMHV sectors. We see no obstruction to the application of our method to higher point one-loop amplitudes. The structure of Jacobi identities between BCJ numerators is seen to be closely connected to that of algebraic integrand reductions. We discuss the consequences for one-loop N=8 supergravity amplitudes obtained through the double copy prescription. Moreover, in the MHV sector, we show how to obtain simple BCJ box numerators using a relationship with amplitudes in self-dual gauge theory. We also introduce simpler trace-type formulas for integrand reductions.

Original language	English
Article number	092
Journal	Journal of High Energy Physics (Online)
Volume	2013
Issue number	7
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep07(2013)092
Publication status	Published - 15 Jul 2013

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title = "Integrand oxidation and one-loop colour-dual numerators in N=4 gauge theory",

abstract = "We present a systematic method to determine BCJ numerators for one-loop amplitudes that explores the global constraints on the loop momentum dependence. We apply this method to amplitudes in N=4 gauge theory, working out detailed examples up to seven points in both the MHV and the NMHV sectors. We see no obstruction to the application of our method to higher point one-loop amplitudes. The structure of Jacobi identities between BCJ numerators is seen to be closely connected to that of algebraic integrand reductions. We discuss the consequences for one-loop N=8 supergravity amplitudes obtained through the double copy prescription. Moreover, in the MHV sector, we show how to obtain simple BCJ box numerators using a relationship with amplitudes in self-dual gauge theory. We also introduce simpler trace-type formulas for integrand reductions.",

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T1 - Integrand oxidation and one-loop colour-dual numerators in N=4 gauge theory

AU - Bjerrum-Bohr, N. Emil J.

AU - Dennen, Tristan Lucas

AU - Ferreira Monteiro, Ricardo Jorge

AU - O'Connell, Donal Francis

PY - 2013/7/15

Y1 - 2013/7/15

N2 - We present a systematic method to determine BCJ numerators for one-loop amplitudes that explores the global constraints on the loop momentum dependence. We apply this method to amplitudes in N=4 gauge theory, working out detailed examples up to seven points in both the MHV and the NMHV sectors. We see no obstruction to the application of our method to higher point one-loop amplitudes. The structure of Jacobi identities between BCJ numerators is seen to be closely connected to that of algebraic integrand reductions. We discuss the consequences for one-loop N=8 supergravity amplitudes obtained through the double copy prescription. Moreover, in the MHV sector, we show how to obtain simple BCJ box numerators using a relationship with amplitudes in self-dual gauge theory. We also introduce simpler trace-type formulas for integrand reductions.

AB - We present a systematic method to determine BCJ numerators for one-loop amplitudes that explores the global constraints on the loop momentum dependence. We apply this method to amplitudes in N=4 gauge theory, working out detailed examples up to seven points in both the MHV and the NMHV sectors. We see no obstruction to the application of our method to higher point one-loop amplitudes. The structure of Jacobi identities between BCJ numerators is seen to be closely connected to that of algebraic integrand reductions. We discuss the consequences for one-loop N=8 supergravity amplitudes obtained through the double copy prescription. Moreover, in the MHV sector, we show how to obtain simple BCJ box numerators using a relationship with amplitudes in self-dual gauge theory. We also introduce simpler trace-type formulas for integrand reductions.

U2 - 10.1007/jhep07(2013)092

DO - 10.1007/jhep07(2013)092

M3 - Journal article

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 7

M1 - 092

ER -

Integrand oxidation and one-loop colour-dual numerators in N=4 gauge theory

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