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Infrared singularities and the high-energy limit

2012/01/13 by Vittorio Del Duca, Del Duca, Vittorio, Claude Duhr +7 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1201.2841

11 pages, proceedings of the 10th International Symposium on Radiative Corrections (RADCOR 2011), Mamallapuram, India

arxiv created 2012/01/13 · openalex publication_date 2012/01/13 · arxiv updated 2012/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review recent results on the high-energy limit of gauge amplitudes, which can be derived from the universal properties of their infrared singularities. Using the dipole formula, a compact ansatz for infrared singularities of massless gauge amplitudes, and taking the high-energy limit, we provide a simple expression for the soft factor of a generic high-energy amplitude, valid to leading power in t/s and to all logarithmic orders. This gives a direct and general proof of leading-logarithmic Reggeization for infrared divergent contributions to the amplitude, and it shows how Reggeization breaks down at NNLL level. We further show how the dipole formula constrains the high-energy limit of multi-particle amplitudes in multi-Regge kinematics, and how, on the other hand, Regge theory constrains possible corrections to the dipole formula.

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