Infrared singularities of scattering amplitudes in perturbative QCD
Abstract
An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory contains only a single non-trivial color structure, whose coefficient is the cusp anomalous dimension of Wilson loops with light-like segments. Its color-diagonal part is characterized by two anomalous dimensions, which are extracted to three-loop order from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/epsilon^k poles for an arbitrary n-parton scattering amplitudes, generalizing existing two-loop results.
- Authors:
-
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Johannes Gutenberg-Universitaet Mainz, Mainz (Germany)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1155694
- Report Number(s):
- MZ-TH-09-01
Journal ID: ISSN 0031-9007; PRLTAO; ArticleNumber: 199905
- DOE Contract Number:
- AC02-07CH11359
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 111; Journal Issue: 19; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Becher, Thomas, and Neubert, Matthias. Infrared singularities of scattering amplitudes in perturbative QCD. United States: N. p., 2013.
Web. doi:10.1103/PhysRevLett.111.199905.
Becher, Thomas, & Neubert, Matthias. Infrared singularities of scattering amplitudes in perturbative QCD. United States. https://doi.org/10.1103/PhysRevLett.111.199905
Becher, Thomas, and Neubert, Matthias. 2013.
"Infrared singularities of scattering amplitudes in perturbative QCD". United States. https://doi.org/10.1103/PhysRevLett.111.199905. https://www.osti.gov/servlets/purl/1155694.
@article{osti_1155694,
title = {Infrared singularities of scattering amplitudes in perturbative QCD},
author = {Becher, Thomas and Neubert, Matthias},
abstractNote = {An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory contains only a single non-trivial color structure, whose coefficient is the cusp anomalous dimension of Wilson loops with light-like segments. Its color-diagonal part is characterized by two anomalous dimensions, which are extracted to three-loop order from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/epsilon^k poles for an arbitrary n-parton scattering amplitudes, generalizing existing two-loop results.},
doi = {10.1103/PhysRevLett.111.199905},
url = {https://www.osti.gov/biblio/1155694},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 19,
volume = 111,
place = {United States},
year = {Fri Nov 01 00:00:00 EDT 2013},
month = {Fri Nov 01 00:00:00 EDT 2013}
}