Emergent Weak Scale from Cosmological Evolution and Dimensional Transmutation

TL;DR

This paper proposes a cosmological framework where the weak scale emerges dynamically through dimensional transmutation and relaxation, avoiding new physics up to the Planck scale and ensuring a stable electroweak vacuum.

Contribution

It introduces a novel mechanism linking Higgs mass evolution to cosmological dynamics, explaining the weak scale without new physics beyond the Standard Model.

Findings

The electroweak vacuum is the global minimum of the effective potential.

The weak scale is dynamically generated and stabilized during cosmic evolution.

The framework achieves a natural hierarchy through dimensional transmutation.

Abstract

In this note we present a framework in which the weak scale appears dynamically technically natural with no new physics up to the Planck scale. The mixing between the massless Higgs and the R^2 metric theory induces, in canonical parametrization of the Einstein frame, an effective field-dependent Higgs mass parameter. It is a dynamical variable which in the course of cosmic evolution scans a wide range of values and eventually stabilizes at a low scale. The one-loop effective potential has an electroweak symmetry breaking vacuum and the hierarchy is explained by dimensional transmutation and cosmological relaxation mechanisms. Furthermore, by evaluating the renormalization group improved effective potential we find that the electroweak vacuum is the global minimum of the effective potential.