Disentangling the Regge Cut and Regge Pole in Perturbative QCD

Giulio Falcioni; Einan Gardi; Niamh Maher; Calum Milloy; Leonardo Vernazza

doi:10.1103/PhysRevLett.128.132001

Disentangling the Regge Cut and Regge Pole in Perturbative QCD

Giulio Falcioni, Einan Gardi, Niamh Maher, Calum Milloy, Leonardo Vernazza

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon t-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops.

Original language	English
Article number	132001
Pages (from-to)	1-7
Number of pages	7
Journal	Physical Review Letters
Volume	128
Issue number	13
Early online date	30 Mar 2022
DOIs	https://doi.org/10.1103/PhysRevLett.128.132001
Publication status	Published - 1 Apr 2022

Keywords / Materials (for Non-textual outputs)

hep-ph
hep-th

Access to Document

10.1103/PhysRevLett.128.132001Licence: Creative Commons: Attribution (CC-BY)

PhysRevLett.128.132001Final published version, 338 KBLicence: Creative Commons: Attribution (CC-BY)
2112.11098v2

Particle Theory at the Higgs Centre
Ball, R. (Principal Investigator), Boyle, P. (Co-investigator), Del Debbio, L. (Co-investigator), Gardi, E. (Co-investigator), Horsley, R. (Co-investigator), Kennedy, A. (Co-investigator), O'Connell, D. (Co-investigator), Smillie, J. (Co-investigator) & Zwicky, R. (Co-investigator)
STFC
1/10/17 → 30/09/21
Project: Research
QCD for the Future of Particle Physics
Smillie, J. (Principal Investigator)
EU government bodies
1/01/17 → 30/11/23
Project: Research

Cite this

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title = "Disentangling the Regge Cut and Regge Pole in Perturbative QCD",

abstract = "The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon t-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops.",

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author = "Giulio Falcioni and Einan Gardi and Niamh Maher and Calum Milloy and Leonardo Vernazza",

note = "7 pages, 2 figures; v2: comments regarding the supersymmetric case added, to appear in Phys. Rev. Lett",

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T1 - Disentangling the Regge Cut and Regge Pole in Perturbative QCD

AU - Falcioni, Giulio

AU - Gardi, Einan

AU - Maher, Niamh

AU - Milloy, Calum

AU - Vernazza, Leonardo

N1 - 7 pages, 2 figures; v2: comments regarding the supersymmetric case added, to appear in Phys. Rev. Lett

PY - 2022/4/1

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N2 - The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon t-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops.

AB - The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon t-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops.

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KW - hep-th

U2 - 10.1103/PhysRevLett.128.132001

DO - 10.1103/PhysRevLett.128.132001

M3 - Article

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VL - 128

SP - 1

EP - 7

JO - Physical Review Letters

JF - Physical Review Letters

IS - 13

M1 - 132001

ER -

Disentangling the Regge Cut and Regge Pole in Perturbative QCD

Abstract

Keywords / Materials (for Non-textual outputs)

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Projects

Particle Theory at the Higgs Centre

QCD for the Future of Particle Physics

Cite this