• Open Access

One-Loop Off-Shell Amplitudes from Classical Equations of Motion

Humberto Gomez, Renann Lipinski Jusinskas, Cristhiam Lopez-Arcos, and Alexander Quintero Vélez
Phys. Rev. Lett. 130, 081601 – Published 24 February 2023

Abstract

In this Letter, we present a recursive method for computing one-loop off-shell integrands in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree-level amplitudes. After, by taking advantage of the underlying color structure, we define a consistent sewing procedure to iteratively compute the one-loop integrands. When gauge symmetries are involved, the whole procedure is extended to multiparticle solutions involving ghosts, which can then be accounted for in the full loop computation. Since the required input here is equations of motion and gauge symmetry, our framework naturally extends to one-loop computations in certain non-Lagrangian field theories.

  • Received 15 August 2022
  • Revised 14 October 2022
  • Accepted 17 January 2023

DOI:https://doi.org/10.1103/PhysRevLett.130.081601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Humberto Gomez1,2, Renann Lipinski Jusinskas3, Cristhiam Lopez-Arcos4, and Alexander Quintero Vélez4

  • 1Department of Mathematical Sciences, Durham University, Stockton Road, DH1 3LE Durham, United Kingdom
  • 2Facultad de Ciencias Basicas, Universidad Santiago de Cali, Calle 5 No. 62-00 Barrio Pampalinda, Cali, Valle, Colombia
  • 3Institute of Physics of the Czech Academy of Sciences and CEICO, Na Slovance 2, 18221 Prague, Czech Republic
  • 4Escuela de Matemáticas, Universidad Nacional de Colombia, Sede Medellín, Carrera 65 No. 59A–110, Medellín, Colombia

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Issue

Vol. 130, Iss. 8 — 24 February 2023

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