Proving the dimension-shift conjecture
Ruth Britto, Guy R. Jehu, Andrea Orta
SciPost Phys. Proc. 7, 009 (2022) · published 20 June 2022
- doi: 10.21468/SciPostPhysProc.7.009
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Abstract
We prove the conjecture made by Bern, Dixon, Dunbar, and Kosower that describes a simple dimension shifting relationship between the one-loop structure of N = 4 MHV amplitudes and all-plus helicity amplitudes in pure Yang-Mills theory. The proof captures all orders in dimensional regularisation using unitarity cuts, by combining massive spinor-helicity with Coulomb-branch supersymmetry. The form of these amplitudes can be given in terms of pentagon and box integrals using a generalised D-dimensional
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Ruth Britto,
- 2 Guy Jehu,
- 2 Andrea Orta
- 1 Université Paris-Saclay / University of Paris-Saclay
- 2 Coláiste na Tríonóide Baile Átha Cliath / Trinity College Dublin [TCD]
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