Proof of a new colour decomposition for QCD amplitudes

Melia, Tom

doi:10.1007/JHEP12(2015)107

Proof of a new colour decomposition for QCD amplitudes

Journal Article · Tue Dec 15 23:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2015)107· OSTI ID:1378664

Melia, Tom ^[1]

Univ. of California, Berkeley, CA (United States). Department of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group

Recently, Johansson and Ochirov conjectured the form of a new colour decom-position for QCD tree-level amplitudes. This note provides a proof of that conjecture. The proof is based on ‘Mario World’ Feynman diagrams, which exhibit the hierarchical Dyck structure previously found to be very useful when dealing with multi-quark amplitudes.

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1378664

Alternate ID(s):: OSTI ID: 22587570

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (12)

Colour decompositions of multi-quark one-loop QCD amplitudes Ita, Harald; Ozeren, Kemal Journal of High Energy Physics, Vol. 2012, Issue 2 https://doi.org/10.1007/JHEP02(2012)118	journal	February 2012
Proof of the fundamental BCJ relations for QCD amplitudes de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)197	journal	September 2015
Pure gravities via color-kinematics duality for fundamental matter Johansson, Henrik; Ochirov, Alexander Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)046	journal	November 2015
The six-gluon process as an example of Weyl-van der Waerden spinor calculus Berends, F. A.; Giele, W. Nuclear Physics B, Vol. 294 https://doi.org/10.1016/0550-3213(87)90604-3	journal	January 1987
Duality and multi-gluon scattering Mangano, Michelangelo; Parke, Stephen; Xu, Zhan Nuclear Physics B, Vol. 298, Issue 4 https://doi.org/10.1016/0550-3213(88)90001-6	journal	March 1988
The color structure of gluon emission Mangano, Michelangelo Nuclear Physics B, Vol. 309, Issue 3 https://doi.org/10.1016/0550-3213(88)90453-1	journal	November 1988
Multigluon cross sections and 5-jet production at hadron colliders Kleiss, Ronald; Kuijf, Hans Nuclear Physics B, Vol. 312, Issue 3 https://doi.org/10.1016/0550-3213(89)90574-9	journal	January 1989
One-loop corrections to two-quark three-gluon amplitudes Bern, Zvi; Dixon, Lance; Kosower, David A. Nuclear Physics B, Vol. 437, Issue 2 https://doi.org/10.1016/0550-3213(94)00542-M	journal	March 1995
New color decompositions for gauge amplitudes at tree and loop level Del Duca, Vittorio; Dixon, Lance; Maltoni, Fabio Nuclear Physics B, Vol. 571, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00809-3	journal	April 2000
Numerical evaluation of virtual corrections to multi-jet production in massless QCD Badger, Simon; Biedermann, Benedikt; Uwer, Peter Computer Physics Communications, Vol. 184, Issue 8 https://doi.org/10.1016/j.cpc.2013.03.018	journal	August 2013
One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts Ellis, R. Keith; Kunszt, Zoltan; Melnikov, Kirill Physics Reports, Vol. 518, Issue 4-5 https://doi.org/10.1016/j.physrep.2012.01.008	journal	September 2012
Dyck words and multiquark primitive amplitudes Melia, Tom Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014020	journal	July 2013

Cited By (2)

Full colour for loop amplitudes in Yang-Mills theory Ochirov, Alexander; Page, Ben Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/jhep02(2017)100	journal	February 2017
Full Colour for Loop Amplitudes in Yang-Mills Theory Ochirov, Alexander; Page, Ben arXiv https://doi.org/10.48550/arxiv.1612.04366	text	January 2016

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