Renormalization Group Equations of Higgs-$R^2$ Inflation
Yohei Ema, Kyohei Mukaida, Jorinde van de Vis

TL;DR
This paper derives the one- and two-loop renormalization group equations for Higgs-$R^2$ inflation, analyzing how quantum corrections influence inflationary predictions and the stability of the electroweak vacuum.
Contribution
It provides the first detailed derivation of RGEs for Higgs-$R^2$ inflation, extending understanding of quantum effects in this model.
Findings
RGEs valid below the Planck scale are obtained.
Implications for inflationary predictions are discussed.
Electroweak vacuum metastability is analyzed.
Abstract
We derive one- and two-loop renormalization group equations (RGEs) of Higgs- inflation. This model has a non-minimal coupling between the Higgs and the Ricci scalar and a Ricci scalar squared term on top of the standard model. The RGEs derived in this paper are valid as long as the energy scale of interest (in the Einstein frame) is below the Planck scale. We also discuss implications to the inflationary predictions and the electroweak vacuum metastability.
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