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  • Letter
  • Open Access

Anomalous scaling of linear power corrections

Casey Farren-Colloty1,†, Jack Helliwell2, Rtvik Patel1,‡, Gavin P. Salam1,3,*, and Silvia Zanoli1

  • 1Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, Oxford, OX1 3PU, United Kingdom
  • 2School of Physics and Astronomy, Monash University, Wellington Road, Clayton, Victoria 3800, Australia
  • 3All Souls College, Oxford, OX1 4AL, United Kingdom

  • *Contact author: gavin.salam@physics.ox.ac.uk
  • †Present address: Trinity College, Dublin 2, Ireland.
  • ‡Present address: St. Catharine’s College, Trumpington Street, Cambridge CB2 1RL, United Kingdom.
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Phys. Rev. D 113, L111503 – Published 22 June, 2026

DOI: https://doi.org/10.1103/63g5-tl5b

Abstract

Nonperturbative corrections to hadronic observables represent a critical obstacle to increasing accuracy at colliders. Long taken to scale simply as 1/Q, where Q is the center-of-mass scattering energy, recent work has opened the path toward calculating the anomalous dimension that modifies that scaling. A priori, the problem is complex, requiring a resummation involving arbitrary numbers of large-angle and low-energy gluons. Within a specific framework for kinematic recoil, we show that it reduces to a simple exponential for key observables like the thrust, C-parameter and energy correlators. This simplicity holds for a specific hadron-mass scheme, and also even beyond the two-jet limit.

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Phys. Rev. D 113, L111503– Published 22 June, 2026
  • Received 7 August 2025
  • Accepted 27 April 2026
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