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

• Published in: arXiv.org
• Main Authors: Barrios, Nahuel, Philipe De Fabritiis, Peláez, Marcela
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 26.04.2024
• Subjects: Configurations; Form factors; Gluons; Infrared suppression; Physics - High Energy Physics - Lattice; Physics - High Energy Physics - Phenomenology; Physics - High Energy Physics - Theory; Tensors
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2403.17056

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.