SCET approach to regularization-scheme dependence of QCD amplitudes

A bstract We investigate the regularization-scheme dependence of scattering amplitudes in massless QCD and find that the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED) are consistent at least up to NNLO in the perturbative expansion if renormalization is done appropriately....

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Bibliographic Details
Published in:The journal of high energy physics 2016-01, Vol.2016 (1), p.1-47, Article 78
Main Authors: Broggio, A., Gnendiger, Ch, Signer, A., Stöckinger, D., Visconti, A.
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Helicity
Iridium
Iridium base alloys
Mathematical analysis
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering amplitude
Singularities
String Theory
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Summary:A bstract We investigate the regularization-scheme dependence of scattering amplitudes in massless QCD and find that the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED) are consistent at least up to NNLO in the perturbative expansion if renormalization is done appropriately. Scheme dependence is shown to be deeply linked to the structure of UV and IR singularities. We use jet and soft functions defined in soft-collinear effective theory (SCET) to efficiently extract the relevant anomalous dimensions in the different schemes. This result allows us to construct transition rules for scattering amplitudes between different schemes (CDR, HV, FDH, DRED) up to NNLO in massless QCD. We also show by explicit calculation that the hard, soft and jet functions in SCET are regularization-scheme independent.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2016)078