The RG-improved Twin Higgs effective potential at NNLL

TL;DR

This paper improves the theoretical prediction of the Higgs potential in the Twin Higgs model using renormalization group techniques at NNLL accuracy, showing that infrared effects alone can explain the observed Higgs mass.

Contribution

It introduces a model-independent effective Lagrangian and applies background field methods to systematically resum loop diagrams, enhancing the precision of Higgs mass predictions in the Twin Higgs framework.

Findings

Predicted Higgs mass around 120 GeV

Ultraviolet cutoff estimated at 10-20 TeV

Infrared effects suffice to explain the Higgs mass

Abstract

We present the Renormalization Group improvement of the Twin Higgs effective potential at cubic order in logarithmic accuracy. We first introduce a model-independent low-energy effective Lagrangian that captures both the pseudo-Nambu-Goldstone boson nature of the Higgs field and the twin light degrees of freedom charged under a copy of the Standard Model. We then apply the background field method to systematically re-sum all the one loop diagrams contributing to the potential. We show how this technique can be efficient to implicitly renormalize the higher-dimensional operators in the twin sector without classifying all of them. A prediction for the Higgs mass in the Twin Higgs model is derived and found to be of the order of $M_H \sim 120 ~\text{GeV}$ with an ultraviolet cut-off $m_*\sim 10-20 ~\text{TeV}$. Irrespective of any possible ultraviolet completion of the low-energy Lagrangian, the infrared degrees of freedom alone are therefore enough to account for the observed value of the Higgs mass through running effects.