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Color structure of next-to-eikonal correlator webs at three loops

Abhinava Danish1,*, Shubham Mishra1,2,†, Sourav Pal3,‡, Aditya Srivastav1,§, and Anurag Tripathi1,∥

  • *Contact author: abhinavadan@gmail.com
  • †Contact author: shubhammishra@galgotiasuniversity.edu.in
  • ‡Contact author: sourav@niser.ac.in
  • §Contact author: shrivastavadi333@gmail.com
  • ∥Contact author: tripathi@phy.iith.ac.in
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Phys. Rev. D 111, 114022 – Published 20 June, 2025

DOI: https://doi.org/10.1103/xtft-b5dt

Abstract

Correlators of Wilson lines, which capture eikonal contributions, are known to exponentiate in non-Abelian gauge theories, and their logarithms can be organized in terms of collections of Feynman diagrams called webs. In the work by Agarwal et al. [J. High Energy Phys. 05 (2020) 128], the concept of a correlator web (Cweb)—a set of skeleton diagrams built from connected gluon correlators, generalizing the notion of webs—was introduced. The part of the next-to-eikonal contributions to the scattering amplitude that exponentiates was later given in terms of next-to-eikonal Cwebs. In the present article, we study next-to-eikonal Cwebs at three-loop order, the order at which nontrivial Cweb mixing matrices first appear. The methods developed by Agarwal et al. [J. High Energy Phys. 06 (2022) 020] to construct mixing matrices directly, without the use of the replica trick, are used in this article to obtain the mixing matrices for next-to-eikonal Cwebs after we establish a relationship between next-to-eikonal and eikonal Cwebs.

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Phys. Rev. D 111, 114022– Published 20 June, 2025
  • Received 4 April 2025
  • Accepted 21 May 2025
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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.

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