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Uncharted Logarithmic Structures in QCD Transverse-Energy Flow

Mrinal Dasgupta1,*, Alexander Fraley1,†, Pier Francesco Monni2,‡, and Saad Nabeebaccus1,§

  • 1Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
  • 2CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland

  • *Contact author: mrinal.dasgupta@manchester.ac.uk
  • †Contact author: alexander.fraley@postgrad.manchester.ac.uk
  • ‡Contact author: pier.monni@cern.ch
  • §Contact author: saad.nabeebaccus@manchester.ac.uk
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Phys. Rev. Lett. 137, 111906 – Published 11 September, 2026

DOI: https://doi.org/10.1103/6bv2-ybsg

Abstract

We investigate the QCD transverse-energy (ET) flow distribution within an azimuthal region of phase space, defined by an angular interval Δϕ on the plane transverse to a chosen reference axis. Vetoes on the resulting ET are widely employed at the LHC to isolate missing transverse momentum in final states with invisible particles. We show that this observable has logarithmic structures never seen before in QCD calculations. Notably, its description involves the resummation of nonglobal and coherence-violating logarithmic contributions that are more singular than any reported to date. We analyze its all-orders behavior, providing analytical resummation for pp collisions at next-to-double-logarithmic accuracy and numerical resummation at leading-logarithmic accuracy in the Veneziano limit. We further present a computation of the leading coherence-violating correction, highlighting its novel structure. The intricate structure of vetoes in azimuthal gaps reveals new aspects of QCD dynamics and offers a novel probe of coherence-violating logarithmic terms in LHC observables.

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Phys. Rev. Lett. 137, 111906– Published 11 September, 2026
  • Received 16 December 2025
  • Revised 8 May 2026
  • Accepted 11 August 2026
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