A Discussion on Possible Effects of the Barbero-Immirzi Parameter at the TeV-scale Particle Physics

TL;DR

This paper investigates how the Barbero-Immirzi parameter influences fermion mass in a quantum gravity model at TeV-scale energies, using one-loop calculations to estimate its value.

Contribution

It introduces a perturbative approach to relate the Barbero-Immirzi parameter to fermion mass in a quantum gravity framework at TeV energies.

Findings

Estimated the fermion mass dependence on the BI parameter.

Provided a comparison with known BI parameter results.

Analyzed the implications of the BI parameter at TeV-scale physics.

Abstract

In this paper, we analyse a curvature- and torsion-square quantum gravity action with an additional Holst term minimally coupled to a massive Dirac field in four dimensions. The main purpose here is to try to estimate and compare the value of the Barbero-Immirzi (BI) parameter with its currently known results. To do that, we work out the physical mass of the fermion as a function of this parameter in a perturbative one-loop calculation, assuming the scenario of a physics at the TeV-scale.