Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics

Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics

We propose a pure four-dimensional formulation (FDF) of the ddimensional regularization of one and two loop scattering amplitudes in quantum chromodynamics. In our formulation particles propagating inside the loops are represented by massive internal states regulating the divergences. The equivalenc...

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Main Author: Fazio Angelo Raffaele
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201819200011
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spelling doaj-f9f41e03f08840d7a7543646e56a64702021-08-02T06:07:09ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011920001110.1051/epjconf/201819200011epjconf_qcd2018_00011Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamicsFazio Angelo RaffaeleWe propose a pure four-dimensional formulation (FDF) of the ddimensional regularization of one and two loop scattering amplitudes in quantum chromodynamics. In our formulation particles propagating inside the loops are represented by massive internal states regulating the divergences. The equivalence between the FDF and the Four Dimensional Helicity scheme is discussed. We present explicit representations of the polarization and helicity states of the four-dimensional particles propagating in the loops. They allow for a complete, four-dimensional, unitarity-based construction of d-dimensional amplitudes. Generalized unitarity within the FDF does not require any higherdimensional extension of the Cli↵ord and the spinor algebra.https://doi.org/10.1051/epjconf/201819200011
collection DOAJ
language English
format Article
sources DOAJ
author Fazio Angelo Raffaele
spellingShingle Fazio Angelo Raffaele
Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
EPJ Web of Conferences
author_facet Fazio Angelo Raffaele
author_sort Fazio Angelo Raffaele
title Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
title_short Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
title_full Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
title_fullStr Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
title_full_unstemmed Two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
title_sort two loop four dimensional formulation of dimensionally regularized amplitudes in quantum chromodynamics
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description We propose a pure four-dimensional formulation (FDF) of the ddimensional regularization of one and two loop scattering amplitudes in quantum chromodynamics. In our formulation particles propagating inside the loops are represented by massive internal states regulating the divergences. The equivalence between the FDF and the Four Dimensional Helicity scheme is discussed. We present explicit representations of the polarization and helicity states of the four-dimensional particles propagating in the loops. They allow for a complete, four-dimensional, unitarity-based construction of d-dimensional amplitudes. Generalized unitarity within the FDF does not require any higherdimensional extension of the Cli↵ord and the spinor algebra.
url https://doi.org/10.1051/epjconf/201819200011
work_keys_str_mv AT fazioangeloraffaele twoloopfourdimensionalformulationofdimensionallyregularizedamplitudesinquantumchromodynamics
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