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Nonplanar Cusp and Transcendental Anomalous Dimension at Four Loops in N=4 Supersymmetric Yang-Mills Theory

B. A. Kniehl and V. N. Velizhanin
Phys. Rev. Lett. 126, 061603 – Published 12 February 2021

Abstract

We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental ζ3 and ζ5 parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. As for the lightlike cusp anomalous dimension and the ζ5 part of the universal anomalous dimension, we confirm previous results.

  • Figure
  • Received 27 October 2020
  • Revised 15 December 2020
  • Accepted 12 January 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.061603

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

B. A. Kniehl*

  • II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

V. N. Velizhanin

  • Theoretical Physics Division, NRC “Kurchatov Institute,” Petersburg Nuclear Physics Institute, Orlova Roscha, Gatchina, 188300 St. Petersburg, Russia

  • *kniehl@desy.de
  • velizh@thd.pnpi.spb.ru

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Vol. 126, Iss. 6 — 12 February 2021

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