Abstract
The Conformal Standard Model (CSM) is a minimal extension of the Standard Model of Particle Physics based on the assumed absence of large intermediate scales between the TeV scale and the Planck scale, which incorporates only right-chiral neutrinos and a new complex scalar in addition to the usual SM degrees of freedom, but no other features such as supersymmetric partners. In this paper, we present a comprehensive quantitative analysis of this model, and show that all outstanding issues of particle physics proper can in principle be solved `in one go' within this framework. This includes in particular the stabilization of the electroweak scale, `minimal' leptogenesis and the explanation of Dark Matter, with a small mass and very weakly interacting Majoron as the Dark Matter candidate (for which we propose to use the name `minoron'). The main testable prediction of the model is a new and almost sterile scalar boson that would manifest itself as a narrow resonance in the TeV region. We give a representative range of parameter values consistent with our assumptions and with observation.
Highlights
The conformal standard model is a minimal extension of the Standard Model (SM) of particle physics based on the assumed absence of large intermediate scales between the TeV scale and the Planck scale, which incorporates only right-chiral neutrinos and a new complex scalar in addition to the usual SM degrees of freedom, but no other features such as supersymmetric partners
We present a comprehensive quantitative analysis of this model, and show that all outstanding issues of particle physics proper can in principle be solved “in one go” within this framework
In this paper we follow up on a specific proposal along these lines which is based on our earlier work [6], and demonstrate that this proposal in principle allows for a comprehensive treatment of all outstanding problems of particle physics proper
Summary
The conspicuous absence of any hints of “new physics” at LHC, and, more pertinently, of supersymmetric partners and exotics [1,2] has prompted a search for alternative scenarios beyond the Standard Model (SM) based on the hypothesis that the SM could survive essentially as is all the way to the Planck scale, modulo “minor” modifications of the type discussed here, see [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] for a (very incomplete) list of references. In this paper we follow up on a specific proposal along these lines which is based on our earlier work [6], and demonstrate that this proposal in principle allows for a comprehensive treatment of all outstanding problems of particle physics proper This list includes perturbativity and stability of the model up to the Planck scale and an explanation of leptogenesis and the nature of dark matter, in a way which is in complete accord with the. The model achieves a stabilization of the electroweak hierarchy thanks to an alternative proposal for the cancellation of quadratic divergences presented in [25], and it is in this sense that we speak of softly broken conformal symmetry (SBCS) This term is meant to comprise three main assumptions, namely: (i) the avoidance of quadratic divergences, (ii) the smallness (with respect to the Planck scale) of all dimensionful quantities, and (iii) the smallness of all dimensionless couplings up to MPL. For the reader’s convenience we have included an appendix explaining basic properties of neutrino field operators in Weyl spinor formalism
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