Abstract
The link between a modified Higgs self-coupling and the strong first-order phase transition necessary for baryogenesis is well explored for polynomial extensions of the Higgs potential. We broaden this argument beyond leading polynomial expansions of the Higgs potential to higher polynomial terms and to non-polynomial Higgs potentials. For our quantitative analysis we resort to the functional renormalization group, which allows us to evolve the full Higgs potential to higher scales and finite temperature. In all cases we find that a strong first-order phase transition manifests itself in an enhancement of the Higgs self-coupling by at least 50%, implying that such modified Higgs potentials should be accessible at the LHC.
Highlights
The existence of a scalar Higgs potential is the most fundamental insight from the LHC to date
In all cases we find that a strong first-order phase transition manifests itself in an enhancement of the Higgs selfcoupling by at least 50%, implying that such modified Higgs potentials should be accessible at the LHC
The example Higgs potentials studied in this paper suggest new-physics scales well below a possible instability scale of 1010ÁÁÁ12 GeV of the Standard Model
Summary
The existence of a scalar Higgs potential is the most fundamental insight from the LHC to date. Scenario can be tested through a measurement of the Higgs self-coupling at colliders [7,8,9,10] The problem with this link is that the new physics scale required by a first-order phase transition is typically not large, Λ ≳ v 1⁄4 246 GeV. On the strength of the bosonic and order-parameter fluctuations in the new physics model, mean-field approaches may become unreliable. We demonstrate this explicitly using a simple example case in this paper. The example Higgs potentials studied in this paper suggest new-physics scales well below a possible instability scale of 1010ÁÁÁ12 GeV of the Standard Model. A measurement of the Higgs self-coupling can be indicative for both aspects
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