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arXiv · 2110.15227

Proving the dimension-shift conjecture

Ruth Britto·Guy R. Jehu·Andrea Orta
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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 unitarity technique which captures the full amplitude to all multiplicities.

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Ruth Britto, Guy R. Jehu, Andrea Orta. 2021-10-28. Proving the dimension-shift conjecture. https://arxiv.org/abs/2110.15227

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