Radiative Symmetry Breaking of the Minimal Left-Right Symmetric Model

TL;DR

This paper investigates how quantum corrections under conformal invariance can dynamically break symmetry in the minimal left-right symmetric model, linking the symmetry breaking scale to the Planck scale and predicting TeV-scale new physics.

Contribution

It demonstrates that quantum effects induce maximal parity breaking and generate a large scale separation, providing a novel mechanism for symmetry breaking in this model.

Findings

Parity symmetry is maximally broken by quantum corrections.

A large scale separation between the Planck scale and symmetry breaking scale is dynamically generated.

Electroweak symmetry breaking is triggered by left-right symmetry breaking, expected around a few TeV.

Abstract

Under the assumption of classical conformal invariance, we study the Coleman-Weinberg symmetry breaking mechanism in the minimal left-right symmetric model. This model is attractive as it provides a natural framework for small neutrino masses and the restoration of parity as a good symmetry of nature. We find that, in a large fraction of the parameter space, the parity symmetry is maximally broken by quantum corrections in the Coleman-Weinberg potential, which are a consequence of the conformal anomaly. As the left-right symmetry breaking scale is connected to the Planck scale through the logarithmic running of the dimensionless couplings of the scalar potential, a large separation of the two scales can be dynamically generated. The symmetry breaking dynamics of the model was studied using a renormalization group analysis. Electroweak symmetry breaking is triggered by the breakdown of left-right symmetry, and the left-right breaking scale is therefore expected in the few TeV range. The phenomenological implications of the symmetry breaking mechanism are discussed.