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Journal of High Energy Physics

, 2016:108

First Online: 18 November 2016Received: 23 September 2016Accepted: 07 November 2016 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 MH ∼ 120 GeV with an ultraviolet cut-off m* ∼ 10–20 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.

KeywordsRenormalization Group Beyond Standard Model Effective field theories Spontaneous Symmetry Breaking ArXiv ePrint: 1609.05922

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Author: Davide Greco - Kin Mimouni


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