Four-gluon vertex from the Curci-Ferrari model at one-loop order

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Hauptverfasser: Barrios, Nahuel, De Fabritiis, Philipe, Peláez, Marcela
Format: Preprint
Veröffentlicht: 2024
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author Barrios, Nahuel
De Fabritiis, Philipe
Peláez, Marcela
author_facet Barrios, Nahuel
De Fabritiis, Philipe
Peláez, Marcela
contents We compute the four-gluon vertex from the Curci-Ferrari model at one-loop order for a collinear configuration. Our results display a good agreement with the first lattice data for this vertex, released very recently (arXiv:2401.12008). A noteworthy novelty of our work is that we can provide analytical expressions for the four-gluon vertex in collinear configurations, together with a renormalization scheme that allows us to perform reliable perturbative computations even in the infrared regime. We observe an infrared suppression in the form factor associated with the tree-level four-gluon tensor with a possible zero-crossing in the deep infrared which demands new lattice investigations to be confirmed. Moreover, we report an infrared divergence in the completely symmetric tensor form factor due to the ghost-loop contributions. These results come as predictions since previous two-point correlations fix all the available parameters of the model, up to an overall constant factor.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17056
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Four-gluon vertex from the Curci-Ferrari model at one-loop order
Barrios, Nahuel
De Fabritiis, Philipe
Peláez, Marcela
High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
We compute the four-gluon vertex from the Curci-Ferrari model at one-loop order for a collinear configuration. Our results display a good agreement with the first lattice data for this vertex, released very recently (arXiv:2401.12008). A noteworthy novelty of our work is that we can provide analytical expressions for the four-gluon vertex in collinear configurations, together with a renormalization scheme that allows us to perform reliable perturbative computations even in the infrared regime. We observe an infrared suppression in the form factor associated with the tree-level four-gluon tensor with a possible zero-crossing in the deep infrared which demands new lattice investigations to be confirmed. Moreover, we report an infrared divergence in the completely symmetric tensor form factor due to the ghost-loop contributions. These results come as predictions since previous two-point correlations fix all the available parameters of the model, up to an overall constant factor.
title Four-gluon vertex from the Curci-Ferrari model at one-loop order
topic High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2403.17056