Abstract

Assuming that mass scales arise in nature only via dimensional transmutation, we extend the dimension-less Standard Model by adding vector-like fermions charged under a new strong gauge interaction. Their non-perturbative dynamics generates a mass scale that is transmitted to the elementary Higgs boson by electro-weak gauge interactions. In its minimal version the model has the same number of parameters as the Standard Model, predicts that the electro-weak symmetry gets broken, predicts new-physics in the multi-TeV region and is compatible with all existing bounds, provides two Dark Matter candidates stable thanks to accidental symmetries: a composite scalar in the adjoint of SU(2)_L and a composite singlet fermion; their thermal relic abundance is predicted to be comparable to the measured cosmological DM abundance. Some models of this type allow for extra Yukawa couplings; DM candidates remain even if explicit masses are added.

Highlights

  • With abuse of language we use the old name ‘techni-color’

  • In its minimal version the model has the same number of parameters as the Standard Model, predicts that the electro-weak symmetry gets broken, predicts new-physics in the multi-TeV region and is compatible with all existing bounds, provides two Dark Matter candidates stable thanks to accidental symmetries: a composite scalar in the adjoint of SU(2)L and a composite singlet fermion; their thermal relic abundance is predicted to be comparable to the measured cosmological DM abundance

  • Dynamical generation of the weak scale via dimensional transmutation has been realised with weakly-coupled dynamics, in models where an extra scalar S has interactions that drive its quartic λS|S|4 negative around or above the weak scale: S acquires a vev at this scale, and its interaction λHS|H|2|S|2 effectively becomes a Higgs mass term, m2 = λHS S 2 [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28]

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Summary

Higgs Mass

The only mass scale of the theory is set by the dynamical scale of the techni-color sector. Through loop corrections it induces other scales and in particular the Higgs mass parameter.

Electro-weak interactions
Dispersion relation
The ultra-violet tail
The infra-red and resonance region
Color interactions
Yukawa interactions
Dark Matter
Techni-pions
Techni-baryons
Direct detection of Dark Matter
A worked example
Conclusions
A Effective potential
Gauge contribution at one loop level
Yukawa contribution at tree level
Yukawa contribution at one loop level
Full Text
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