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

Gomez, Humberto; Lipinski Jusinskas, Renann; Lopez-Arcos, Cristhiam; Quintero Vélez, Alexander

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.

Citation

Gomez, H., Lipinski Jusinskas, R., Lopez-Arcos, C., & Quintero Vélez, A. (2023). One-Loop Off-Shell Amplitudes from Classical Equations of Motion. Physical Review Letters, 130(8), Article 081601. https://doi.org/10.1103/physrevlett.130.081601

• Journal Article Type: Article
• Acceptance Date: Jan 17, 2023
• Online Publication Date: Feb 24, 2023
• Publication Date: 2023-02
• Deposit Date: Jan 4, 2024
• Publicly Available Date: Jan 4, 2024
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 130
• Issue: 8
• Article Number: 081601
• DOI: https://doi.org/10.1103/physrevlett.130.081601
• Public URL: https://durham-repository.worktribe.com/output/2079689