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  • Open Access

High-Energy Evolution of Power-Suppressed Amplitudes

Maximilian Delto1, Alexander Penin2, and Lorenzo Tancredi3

  • 1Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland
  • 2Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada
  • 3TUM School of Natural Sciences, Physik Department, James-Franck-Straße 1, Technische Universität München, D–85748 Garching, Germany

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Phys. Rev. Lett. 136, 111801 – Published 19 March, 2026

DOI: https://doi.org/10.1103/ld55-58s4

Abstract

We present a new class of evolution equations that govern the high-energy behavior of power-suppressed scattering amplitudes. The equations can be viewed as a renormalization group flow with respect to the relevant effective field theory cutoff. A distinct feature of the method is in the use of a multidimensional cutoff to separate the relevant scales in problems characterized by a complex factorization structure. By adjusting the renormalization group variables to the geometry of the effective theory modes, our method naturally extends to a broad spectrum of physical problems that include massive, massless, small, and wide-angle scattering. We present applications to the benchmark processes of electron-positron forward annihilation and light-quark-mediated Higgs boson production and decays.

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Phys. Rev. Lett. 136, 111801– Published 19 March, 2026
  • Received 13 October 2025
  • Revised 22 January 2026
  • Accepted 19 February 2026
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