Abstract
The Higgs sector in neutral naturalness models provides a portal to the hidden sectors, and thus measurements of Higgs couplings at current and future colliders play a central role in constraining the parameter space of the model. We investigate a class of neutral naturalness models, in which the Higgs boson is a pseudo-Goldstone boson from the universal SO(N)/SO(N − 1) coset structure. Integrating out the radial mode from the spontaneous global symmetry breaking, we obtain various dimension-six operators in the Standard Model effective field theory, and calculate the low energy Higgs effective potential with radiative corrections included. We perform a χ2 fit to the Higgs coupling precision measurements at current and future colliders and show that the new physics scale could be explored up to 2.3 (2.4) TeV without (with) the Higgs invisible decay channels at future Higgs factories. The limits are comparable to the indirect constraints obtained via electroweak precision measurements.
Highlights
As a result, three important effects can be used to probe the parameter space in such models
There will be modifications of the Higgs couplings to the SM particles that mainly originate from the pseudo-Goldstone nature of the Higgs boson, which can be universally parameterized by the ratio v/f characterizing the misalignment between the electroweak scale v and the spontaneous global symmetry breaking scale f [21, 22]
Such symmetry is explicitly broken by its Yukawa coupling with fermions, the Higgs mass is protected from large quadratic radiative contributions via a discrete mirror symmetry
Summary
The motivation behind neutral naturalness models is to solve the little hierarchy problem or the LEP paradox [37], namely the hierarchy between the weak scale ∼100 GeV and the scale of new physics around 5–10 TeV indicated by the electroweak precision data. Interactions which explicitly break the global symmetry, such as the top Yukawa coupling, do generate a quadratically divergent mass term for the Higgs. In order to see the explicit pNGB nature of the physical Higgs, it is convenient to parameterize the multiplet H nonlinearly in the fundamental representation of the corresponding global symmetry SO(N ):. = 8, 5, 6 are the dimensions of the fundamental representation of the corresponding global symmetry groups of the twin Higgs, SO(5)/SO(4) and SO(6)/SO(5) models, respectively. Given these notations, the field H can be expressed as. For the twin Higgs model, in order to avoid the anomaly, we introducebR, as well as twin taus and twin neutrino following the “Fraternal Twin Higgs” setup [42]
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