Radiative Corrections in the (Varying Power)-Law Modified Gravity

TL;DR

This paper explores how radiative corrections to the scalar field's potential in the (Varying Power)-Law Modified Gravity model can address fine-tuning issues, improve observational consistency, and enhance its applicability to dark matter.

Contribution

It demonstrates that radiative corrections modify the effective potential, resolving fine-tuning problems and making the model more compatible with observations and dark matter considerations.

Findings

Radiative corrections increase the scalar field's effective mass.

The corrected potential alleviates fine-tuning issues.

The model becomes more compatible with fifth-force constraints.

Abstract

Although the (varying power)-law modified gravity toy model has the attractive feature of unifying the early and late-time expansions of the Universe, thanks to the peculiar dependence of the scalar field's potential on the scalar curvature, the model still suffers from the fine-tuning problem when used to explain the actually observed Hubble parameter. Indeed, a more correct estimate of the mass of the scalar field needed to comply with actual observations gives an unnaturally small value. On the other hand, for a massless scalar field the potential would have no minimum and hence the field would always remain massless. What solves these issues are the radiative corrections that modify the field's effective potential. These corrections raise the field's effective mass rendering the model free from fine-tuning, immune against positive fifth-force tests, and better suited to tackle the dark matter sector.