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  • Letter
  • Open Access

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

Nahuel Barrios1,2, Philipe De Fabritiis2,3, and Marcela Peláez1

  • 1Instituto de Física, Facultad de Ingeniería, Universidad de la República, J. H. y Reissig 565, 11000 Montevideo, Uruguay
  • 2UERJ—Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013, Rio de Janeiro, Brazil
  • 3CBPF—Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil

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Phys. Rev. D 109, L091502 – Published 6 May, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L091502

Abstract

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 [Phys. Rev. D 109, 074502 (2024)]. 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.

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Phys. Rev. D 109, L091502– Published 6 May, 2024
  • Received 1 April 2024
  • Accepted 18 April 2024
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