Two loop helicity amplitudes for quark gluon scattering in QCD and gluino gluon scattering in supersymmetric Yang-Mills theory
Autor: | Bern, Z., De Freitas, A., Dixon, L. |
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Jazyk: | angličtina |
Rok vydání: | 2003 |
Předmět: |
Nuclear and High Energy Physics
interaction [gluino gluon] High Energy Physics::Lattice amplitude analysis [helicity] High Energy Physics::Phenomenology FOS: Physical sciences interaction [quark gluon] dimensional [regularization] Ward identity SU(N) [gauge field theory] 2 [higher-order] High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) annihilation [quark antiquark] High Energy Physics::Experiment ddc:530 higher-order [Feynman graph] supersymmetry |
Zdroj: | Journal of high energy physics 0306, 028 (2003). doi:10.1088/1126-6708/2003/06/028 |
DOI: | 10.1088/1126-6708/2003/06/028 |
Popis: | 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 to 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. Comment: 77 pages. v2: corrected errors in eqs. (3.7) and (3.8) for one-loop assembly; remaining results unaffected |
Databáze: | OpenAIRE |
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