Proving the dimension-shift conjecture
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.
Cite
@article{arxiv.2110.15227,
title = {Proving the dimension-shift conjecture},
author = {Ruth Britto and Guy R. Jehu and Andrea Orta},
journal= {arXiv preprint arXiv:2110.15227},
year = {2021}
}
Comments
7 pages excluding references. Proceedings for the 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology, FSU, Tallahasse, FL, USA, 17-21 May 2021