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Cluster adjacency beyond MHV

  • James Drummond
  • Jack Foster
  • Ömer GürdoğanEmail author
Open Access
Regular Article - Experimental Physics

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 \( \overline{Q} \)-equation which imposes constraints on the derivatives of the transcendental functions appearing in loop amplitudes.

Keywords

Scattering Amplitudes Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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© The Author(s) 2019

Authors and Affiliations

  1. 1.School of Physics & AstronomyUniversity of SouthamptonSouthamptonUnited Kingdom

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