A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory

Simon Badger; Gustav Mogull; Alexander Ochirov; Donal O'Connell

doi:10.1007/JHEP10(2015)064

A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory

Simon Badger, Gustav Mogull, Alexander Ochirov, Donal O'Connell

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.

Original language	English
Article number	64
Journal	Journal of High Energy Physics
Volume	2015
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2015)064
Publication status	Published - 9 Oct 2015

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10.1007/JHEP10(2015)064Licence: Creative Commons: Attribution (CC-BY)

http://arxiv.org/abs/1507.08797

Nonplanar: Simplifying the non-planar sector of gauge theory.
O'Connell, D.
EU government bodies
1/10/14 → 30/09/18
Project: Research
Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., Callison-Burch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
STFC
1/10/14 → 30/09/18
Project: Research

Donal O'Connell
- donalstaffmail.ed.acuk
- School of Physics and Astronomy - Personal Chair of Theoretical Particle Physics
Person: Academic: Research Active

Cite this

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title = "A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory",

abstract = "We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.",

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AU - Badger, Simon

AU - Mogull, Gustav

AU - Ochirov, Alexander

AU - O'Connell, Donal

PY - 2015/10/9

Y1 - 2015/10/9

N2 - We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.

AB - We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.

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DO - 10.1007/JHEP10(2015)064

M3 - Article

SN - 1126-6708

VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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M1 - 64

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A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory

Abstract

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Nonplanar: Simplifying the non-planar sector of gauge theory.

Particle Theory at the Higgs Centre

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Donal O'Connell

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