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QED and QCD helicity amplitudes in parton-shower gauge

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arxiv 2003.03003 v3 pith:BAQFV4IW submitted 2020-03-06 hep-ph

classification hep-ph
keywords gaugeamplitudesvectorbehaviorsbosoncodescomponentfeynman
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce photon and gluon propagators in which the scalar polarization component is subtracted systematically by making use of the BRST invariance of the off-shell vector boson created from physical on-shell states. The propagator has the light-cone gauge form, where the spacial component of the gauge vector points along the negative of the off-shell vector boson momentum. We call the gauge as parton-shower gauge, since in collinear configurations the absolute value squared of each Feynman amplitude reproduces all the singular behaviors of the corresponding parton shower in this gauge. We introduce new HELAS codes that can be used to calculate the tree-level helicity amplitudes of arbitrary QED and QCD processes by using MadGraph. The absence of subtle gauge cancellation among Feynman amplitudes allows numerical codes to evaluate singular behaviors accurately, and helps us gaining physical insights on interference patterns.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Four Polarizations of the $W$ at High Energies

    hep-ph 2025-12 conditional novelty 6.0 of 10

    Polarization interference in intermediate W bosons is generically nonzero even on-shell, can exceed width-over-mass corrections at low energies, and is suppressed at LHC energies; a 2P scheme is proposed to reduce gau...

  2. Data-parallel leading-order event generation in MadGraph5_aMC@NLO

    hep-ph 2025-07 conditional novelty 6.0 of 10

    CUDACPP gives MadGraph data-parallel helicity amplitudes, delivering linear SIMD CPU speed-ups and up to order-of-magnitude GPU speed-ups for high-multiplicity QCD event generation.

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