Holst action and Dynamical Electroweak symmetry breaking

TL;DR

This paper explores how a modified gravity theory with torsion and fermions can induce dynamical electroweak symmetry breaking, potentially explaining gauge boson masses without a fundamental Higgs field.

Contribution

It introduces a novel approach linking Poincare gravity with Holst term to fermion condensation, offering a new mechanism for electroweak symmetry breaking.

Findings

Fermion interactions from torsion can lead to fermion condensation.

The model predicts gauge boson mass generation via technifermion condensation.

The approach connects gravity modifications to Standard Model symmetry breaking.

Abstract

We consider Poincare gravity coupled in a nonminimal way to spinors. The gravitational action is considered that contains both Palatini and Holst terms. Due to torsion the effective four - fermion interactions appear that may lead to the left - right asymmetry and the condensation of fermions. When the mass parameter entering the mentioned terms of the gravitational action is at a Tev scale the given construction may provide the dynamical Electroweak symmetry breaking. This is achieved via an arrangement of all Standard Model fermions in the left - handed Dirac spinors while the right - handed spinors are reserved for the technifermions. Due to the gravitational action the technifermions are condensed and, therefore, cause the appearance of gauge boson masses.