Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

A bstract Scattering amplitudes of partons in QCD contain infrared divergences which can be resummed to all orders in terms of an anomalous dimension. Independently, in the limit of high-energy forward scattering, large logarithms of the energy can be resummed using Balitsky-Fadin-Kuraev-Lipatov the...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2018; no. 3; pp. 1 - 35
Main Authors Caron-Huot, Simon, Gardi, Einan, Reichel, Joscha, Vernazza, Leonardo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2018
Springer Nature B.V
SpringerOpen
Subjects
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Energy consumption
Forward scattering
High energy physics
Logarithms
Partons
Perturbation theory
Perturbative QCD
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Resummation
Scattering Amplitudes
Singularities
String Theory
Scattering Amplitudes
Resummation
Perturbative QCD
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Summary:A bstract Scattering amplitudes of partons in QCD contain infrared divergences which can be resummed to all orders in terms of an anomalous dimension. Independently, in the limit of high-energy forward scattering, large logarithms of the energy can be resummed using Balitsky-Fadin-Kuraev-Lipatov theory. We use the latter to analyse the infraredsingular part of amplitudes to all orders in perturbation theory and to next-to-leading-logarithm accuracy in the high-energy limit, resumming the two-Reggeon contribution. Remarkably, we find a closed form for the infrared-singular part, predicting the Regge limit of the soft anomalous dimension to any loop order.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2018)098