Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
Abstract
Using a careful choice of infrared (IR) subtraction scheme, we demonstrate cancellation of all terms with transcendental weights 0, 1, 2 from the finite part of the full-color two-loop four-gluon N = 2 supersymmetric QCD amplitude, with Nf massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where Nf = 2Nc for gauge group SU(Nc). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator ϵ = (4 - D)/2. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in N = 2 supersymmetric QCD, which are cross-checked between the three different amplitudes.
- Authors:
-
- Uppsala Univ. (Sweden); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Uppsala Univ. (Sweden)
- ETH Zurich (Switzerland)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1605201
- Report Number(s):
- SLAC-PUB-17488
Journal ID: ISSN 1029-8479; TRN: US2104393
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 1; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Kälin, Gregor, Mogull, Gustav, Ochirov, Alexander, and Verbeek, Bram. Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes. United States: N. p., 2020.
Web. doi:10.1007/jhep01(2020)068.
Kälin, Gregor, Mogull, Gustav, Ochirov, Alexander, & Verbeek, Bram. Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes. United States. https://doi.org/10.1007/jhep01(2020)068
Kälin, Gregor, Mogull, Gustav, Ochirov, Alexander, and Verbeek, Bram. Mon .
"Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes". United States. https://doi.org/10.1007/jhep01(2020)068. https://www.osti.gov/servlets/purl/1605201.
@article{osti_1605201,
title = {Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes},
author = {Kälin, Gregor and Mogull, Gustav and Ochirov, Alexander and Verbeek, Bram},
abstractNote = {Using a careful choice of infrared (IR) subtraction scheme, we demonstrate cancellation of all terms with transcendental weights 0, 1, 2 from the finite part of the full-color two-loop four-gluon N = 2 supersymmetric QCD amplitude, with Nf massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where Nf = 2Nc for gauge group SU(Nc). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator ϵ = (4 - D)/2. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in N = 2 supersymmetric QCD, which are cross-checked between the three different amplitudes.},
doi = {10.1007/jhep01(2020)068},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2020,
place = {United States},
year = {2020},
month = {1}
}
Works referenced in this record:
Nielsen’s Generalized Polylogarithms
journal, September 1986
- Kölbig, K. S.
- SIAM Journal on Mathematical Analysis, Vol. 17, Issue 5
Non-planar integrands for two-loop QCD amplitudes
conference, October 2016
- Badger, Simon; Mogull, Gustav; Peraro, Tiziano
- Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2016)
Breakdown of unitarity in the dimensional reduction scheme
journal, January 1985
- van Damme, Ruud; 't Hooft, Gerard
- Physics Letters B, Vol. 150, Issue 1-3
Multi-loop amplitudes and resummation
journal, January 2003
- Sterman, George; Tejeda-Yeomans, Maria E.
- Physics Letters B, Vol. 552, Issue 1-2
Gluon scattering in N=4 Super-Yang-Mills theory: from weak to strong coupling
conference, April 2008
- Dixon, Lance
- Proceedings of 8th International Symposium on Radiative Corrections — PoS(RAD COR 2007)
Two-Loop Six Gluon All-Plus Helicity Amplitude
journal, August 2016
- Dunbar, David C.; Perkins, Warren B.
- Physical Review Letters, Vol. 117, Issue 6
4D Conformal Field Theories and Strings on Orbifolds
journal, June 1998
- Kachru, Shamit; Silverstein, Eva
- Physical Review Letters, Vol. 80, Issue 22
Supersymmetry and non-perturbative beta functions
journal, May 1988
- Seiberg, Nathan
- Physics Letters B, Vol. 206, Issue 1
Long-distance singularities in multi-leg scattering amplitudes
conference, October 2016
- Gardi, Einan; Almelid, Øyvind; Duhr, Claude
- Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2016)
Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD
conference, October 2018
- Badger, Simon; Bronnum-Hansen, Christian; Gehrmann, Thomas
- Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)
Recent progress on infrared singularities
conference, July 2018
- Gardi, Einan
- Proceedings of 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) — PoS(RADCOR2017)
Supersymmetric dimensional regularization via dimensional reduction
journal, June 1979
- Siegel, Warren
- Physics Letters B, Vol. 84, Issue 2
Multiple polylogarithms, cyclotomy and modular complexes
journal, January 1998
- Goncharov, A. B.
- Mathematical Research Letters, Vol. 5, Issue 4
A theorem on analytical calculability of 4-loop renormalization group functions
journal, March 1981
- Tkachov, F. V.
- Physics Letters B, Vol. 100, Issue 1
Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD
text, January 2018
- Badger, Simon; Bronnum-Hansen, Christian; Gehrmann, Thomas
- PoS
Gluon scattering in N=4 super-Yang-Mills theory from weak to strong coupling
text, January 2008
- Dixon, Lance J.
- arXiv
Long-distance singularities in multi-leg scattering amplitudes
preprint, January 2016
- Gardi, Einan; Almelid, Øyvind; Duhr, Claude
- arXiv
4d Conformal Field Theories and Strings on Orbifolds
text, January 1998
- Kachru, S.; Silverstein, E.
- arXiv