SciPost logo

Proving the dimension-shift conjecture

Ruth Britto, Guy R. Jehu, Andrea Orta

SciPost Phys. Proc. 7, 009 (2022) · published 20 June 2022

Proceedings event

15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology


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.
Funder for the research work leading to this publication