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Factorization beyond Coherence

Thomas Becher1, Patrick Hager2, Matthias Neubert3,4, and Dominik Schwienbacher1

  • 1Institut für Theoretische Physik and AEC, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
  • 2CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland
  • 3PRISMA++ Cluster of Excellence and MITP, Johannes Gutenberg University, 55099 Mainz, Germany
  • 4Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA

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Phys. Rev. Lett. 137, 121902 – Published 16 September, 2026

DOI: https://doi.org/10.1103/q3m4-bcpl

Abstract

We propose a novel factorization theorem for N-jettiness at hadron colliders, which incorporates coherence-violating effects induced by Glauber gluons and several new momentum modes. Their interplay generates coherence-violating logarithms starting at four-loop (N≥1) or five-loop order (N=0). We calculate the anomalous dimensions required for the resummation of coherence-violating logarithms and establish a general framework for the systematic treatment of coherence violation. Our findings imply that most existing factorization formulas for global LHC observables must be revised.

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Phys. Rev. Lett. 137, 121902– Published 16 September, 2026
  • Received 24 March 2026
  • Revised 27 May 2026
  • Accepted 9 July 2026
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