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Main Authors: Hagiwara, Kaoru, Mawatari, Kentarou, Yamada, Youichi, Zheng, Ya-Juan
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.11527
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author Hagiwara, Kaoru
Mawatari, Kentarou
Yamada, Youichi
Zheng, Ya-Juan
author_facet Hagiwara, Kaoru
Mawatari, Kentarou
Yamada, Youichi
Zheng, Ya-Juan
contents Scattering amplitudes for the massless QCD process, $q\bar{q}\to q^\prime\bar{q}^\prime$, are calculated in the one-loop order in the Feynman-Diagram (FD) gauge, where gluons are quantized on the light cone with opposite direction of the three-momenta. We find non-decoupling of the Faddeev-Popov ghosts and non-conventional UV singularities in dimensional regularization. The known QCD amplitudes with asymptotic freedom are reproduced only after summing propagator and vertex corrections. By quantizing gluons in the Feynman gauge on the FD gauge background, we obtain the one-loop improved FD gauge amplitudes.
format Preprint
id arxiv_https___arxiv_org_abs_2407_11527
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle One-loop QCD amplitudes in the Feynman-Diagram gauge
Hagiwara, Kaoru
Mawatari, Kentarou
Yamada, Youichi
Zheng, Ya-Juan
High Energy Physics - Phenomenology
Scattering amplitudes for the massless QCD process, $q\bar{q}\to q^\prime\bar{q}^\prime$, are calculated in the one-loop order in the Feynman-Diagram (FD) gauge, where gluons are quantized on the light cone with opposite direction of the three-momenta. We find non-decoupling of the Faddeev-Popov ghosts and non-conventional UV singularities in dimensional regularization. The known QCD amplitudes with asymptotic freedom are reproduced only after summing propagator and vertex corrections. By quantizing gluons in the Feynman gauge on the FD gauge background, we obtain the one-loop improved FD gauge amplitudes.
title One-loop QCD amplitudes in the Feynman-Diagram gauge
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2407.11527