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Title: Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory

Abstract

We present the two-loop QCD helicity amplitudes for quark-gluon scattering, and for quark-antiquark annihilation into two gluons. These amplitudes are relevant for next-to-next-to-leading order corrections to (polarized) jet production at hadron colliders. We give the results in the 't Hooft-Veltman and four-dimensional helicity (FDH) variants of dimensional regularization. The transition rules for converting the amplitudes between the different variants are much more intricate than for the previously discussed case of gluon-gluon scattering. Summing our two-loop expressions over helicities and colors, and converting to conventional dimensional regularization, gives results in complete agreement with those of Anastasiou, Glover, Oleari and Tejeda-Yeomans. We describe the amplitudes for 2 {yields} 2 scattering in pure N = 1 supersymmetric Yang-Mills theory, obtained from the QCD amplitudes by modifying the color representation and multiplicities, and verify supersymmetry Ward identities in the FDH scheme.

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (US)
OSTI Identifier:
812991
Report Number(s):
SLAC-PUB-9675
TRN: US0303554
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 18 Apr 2003
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; AMPLITUDES; ANNIHILATION; COLOR; GLUONS; HADRONS; HELICITY; PRODUCTION; QUANTUM CHROMODYNAMICS; SCATTERING; SUPERSYMMETRY; YANG-MILLS THEORY

Citation Formats

Dixon, Lance. Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory. United States: N. p., 2003. Web. doi:10.2172/812991.
Dixon, Lance. Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory. United States. https://doi.org/10.2172/812991
Dixon, Lance. 2003. "Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory". United States. https://doi.org/10.2172/812991. https://www.osti.gov/servlets/purl/812991.
@article{osti_812991,
title = {Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory},
author = {Dixon, Lance},
abstractNote = {We present the two-loop QCD helicity amplitudes for quark-gluon scattering, and for quark-antiquark annihilation into two gluons. These amplitudes are relevant for next-to-next-to-leading order corrections to (polarized) jet production at hadron colliders. We give the results in the 't Hooft-Veltman and four-dimensional helicity (FDH) variants of dimensional regularization. The transition rules for converting the amplitudes between the different variants are much more intricate than for the previously discussed case of gluon-gluon scattering. Summing our two-loop expressions over helicities and colors, and converting to conventional dimensional regularization, gives results in complete agreement with those of Anastasiou, Glover, Oleari and Tejeda-Yeomans. We describe the amplitudes for 2 {yields} 2 scattering in pure N = 1 supersymmetric Yang-Mills theory, obtained from the QCD amplitudes by modifying the color representation and multiplicities, and verify supersymmetry Ward identities in the FDH scheme.},
doi = {10.2172/812991},
url = {https://www.osti.gov/biblio/812991}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2003},
month = {4}
}