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Proving the dimension-shift conjecture

by Ruth Britto, Guy R. Jehu, and Andrea Orta

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Submission summary

Authors (as registered SciPost users): Guy Jehu
Submission information
Preprint Link: scipost_202111_00027v1  (pdf)
Date accepted: 2022-02-10
Date submitted: 2021-11-16 13:14
Submitted by: Jehu, Guy
Submitted to: SciPost Physics Proceedings
Proceedings issue: 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2021)
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

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

Published as SciPost Phys. Proc. 7, 009 (2022)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2021-11-27 (Invited Report)

Strengths

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.

Weaknesses

None.

Report

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings and therefore we recommend its publication.

Requested changes

None.

  • validity: high
  • significance: high
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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