English

Two-loop n-point anomalous amplitudes in N=4 supergravity

High Energy Physics - Theory 2020-04-07 v1

Abstract

We compute the anomalous two-loop four-point amplitudes in N=4 pure supergravity, using unitarity and the double-copy construction. We also present all terms determined by four-dimensional cuts in two all-multiplicity two-loop anomalous superamplitudes. This result provides the first two-loop n-point gravity amplitude, up to a class of undetermined rational terms, which are absent at four points. We show that a recently proposed finite counterterm cancels these amplitudes to this order. We argue that the counterterm does not spoil the three-loop finiteness of anomalous amplitudes in the N=4 theory.

Keywords

Cite

@article{arxiv.1905.05151,
  title  = {Two-loop n-point anomalous amplitudes in N=4 supergravity},
  author = {Zvi Bern and David Kosower and Julio Parra-Martinez},
  journal= {arXiv preprint arXiv:1905.05151},
  year   = {2020}
}

Comments

4 pages + references, 3 figures

R2 v1 2026-06-23T09:04:57.726Z