Electroweak scale invariant models with small cosmological constant

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages

Scientific paper

Scale invariant alternatives of the Standard Model are well motivated as they solve the hierarchy problem in a technically natural way. In this paper we consider a class of phenomenologically consistent scale invariant models where the scale invariance is broken radiatively at the electroweak scale. We show that the simplest such electroweak scale invariant model, which contains an electroweak Higgs doublet and an extra singlet scalar field, has the same number of parameters and hence same predictive power as the Standard Model. We argue that the vanishing of the cosmological constant in such models constrains the mass of the pseudo-Goldstone boson associated with this breaking to be less than ~ 10 GeV and also leads to a fermionic-bosonic mass relation. We also consider extended scale invariant models that incorporate neutrino masses through couplings to an electroweak triplet scalar field and dark matter within a mirror-symmetric framework. Scale invariant theories as developed here are highly predictive and can be probed at the LHC.

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