The dimension-shift conjecture for one-loop amplitudes
arXiv:2011.13821 · doi:10.1007/JHEP04(2021)276
Abstract
A conjecture made by Bern, Dixon, Dunbar, and Kosower asserts 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. We prove this conjecture to all orders in dimensional regularisation using unitarity cuts, and evaluate the form of these simplest one-loop amplitudes using a generalised D-dimensional unitarity technique which captures the full amplitude to all multiplicities.
arXiv comment31 pages excluding citations
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