English

Cluster adjacency beyond MHV

High Energy Physics - Theory 2019-03-27 v1

Abstract

We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency controls the appearance of poles, both physical and spurious, in individual BCFW terms. We then discuss how this notion of adjacency is connected to the adjacency already observed at the level of symbols of scattering amplitudes which controls the appearance of branch cut singularities. Poles and symbols become intertwined by cluster adjacency and we discuss the relation of this property to the Qˉ\bar{Q}-equation which imposes constraints on the derivatives of the transcendental functions appearing in loop amplitudes.

Keywords

Cite

@article{arxiv.1810.08149,
  title  = {Cluster adjacency beyond MHV},
  author = {James Drummond and Jack Foster and Omer Gurdogan},
  journal= {arXiv preprint arXiv:1810.08149},
  year   = {2019}
}

Comments

51 pages, 25 figures, 4 tables

R2 v1 2026-06-23T04:44:50.055Z