One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model

TL;DR

This paper investigates the behavior of the three-gluon and ghost-gluon vertices across all momentum ranges using the Curci-Ferrari model at one-loop, comparing results with lattice data and analyzing quark effects.

Contribution

It extends previous work by providing unquenched vertex calculations in the Curci-Ferrari model without parameter fitting, including quark influence on zero crossing points.

Findings

Good agreement with unquenched lattice data for $SU(3)$

Model accurately predicts vertex behavior across momentum ranges

Quark effects significantly influence the zero crossing of the three-gluon vertex

Abstract

In this article we study the unquenched three-gluon and ghost-gluon vertex in all momentum range going from the ultraviolet to the infrared regime using the Curci-Ferrari model at one-loop in Landau gauge as an extension of the results presented in \cite{Pelaez:2013cpa}. Results are compared with recent lattice data for $SU(3)$ in the unquenched case. This calculation is a pure prediction of the model because it does not require fixing any parameter once two-point functions are fitted. An analysis of the influence of dynamical quarks in the position of the zero crossing of the three-gluon vertex is presented. Due to the recent improvements in infrared lattice data for the quenched three-gluon correlation function \cite{Aguilar:2021lke} we also redo the comparison between our one-loop results in this limit and the lattice obtaining a very good match.