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

Simon Caron-Huot; Einan Gardi; Joscha Reichel; Leonardo Vernazza

doi:10.1007/JHEP03(2018)098

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

Simon Caron-Huot, Einan Gardi, Joscha Reichel, Leonardo Vernazza

School of Physics and Astronomy

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

Abstract

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 analyze the infrared-singular 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.

Original language	English
Article number	98
Pages (from-to)	1-34
Number of pages	34
Journal	Journal of High Energy Physics
Volume	N/A
Early online date	16 Mar 2018
DOIs	https://doi.org/10.1007/JHEP03(2018)098
Publication status	E-pub ahead of print - 16 Mar 2018

Keywords / Materials (for Non-textual outputs)

hep-ph
hep-th

Access to Document

10.1007/JHEP03(2018)098

10.1007%2FJHEP03(2018)098Final published version, 782 KBLicence: Creative Commons: Attribution (CC-BY)
arXiv version pdfOther version, 944 KB

Einan Gardi
- einan.gardied.acuk
- School of Physics and Astronomy - Personal Chair of Theoretical Physics
Person: Academic: Research Active

Cite this

@article{85048332145e4b29a865147988b44713,

title = "Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders",

abstract = "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 analyze the infrared-singular 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.",

keywords = "hep-ph, hep-th",

author = "Simon Caron-Huot and Einan Gardi and Joscha Reichel and Leonardo Vernazza",

note = "35 pages, 8 figures",

year = "2018",

month = mar,

day = "16",

doi = "10.1007/JHEP03(2018)098",

language = "English",

volume = "N/A",

pages = "1--34",

journal = " Journal of High Energy Physics",

issn = "1029-8479",

publisher = "Springer",

}

TY - JOUR

T1 - Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

AU - Caron-Huot, Simon

AU - Gardi, Einan

AU - Reichel, Joscha

AU - Vernazza, Leonardo

N1 - 35 pages, 8 figures

PY - 2018/3/16

Y1 - 2018/3/16

N2 - 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 analyze the infrared-singular 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.

AB - 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 analyze the infrared-singular 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.

KW - hep-ph

KW - hep-th

U2 - 10.1007/JHEP03(2018)098

DO - 10.1007/JHEP03(2018)098

M3 - Article

SN - 1029-8479

VL - N/A

SP - 1

EP - 34

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

M1 - 98

ER -

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

Abstract

Keywords / Materials (for Non-textual outputs)

Access to Document

Fingerprint

Profiles

Einan Gardi

Cite this