Study on the global minimum and $H\to \gamma \gamma$ in the Dirac scotogenic model

Abstract

We have analyzed the vacuum structure of the Dirac scotogenic model, whose scalar sector consists of two complex Higgs doublets and a real singlet field. In this model, the standard model like Higgs doublet acquires non-zero vacuum expectation value (VEV), whereas, the other two fields acquire zero VEVs. This pattern of VEVs constitute a minimum, which is the desired vacuum of the model. After analyzing the scalar potential of this model, we have found that other vacua are also possible in this model. We have shown that plenty of parameter space exist where the desired vacuum of this model is the global minimum. We have studied the implications of scalar sector of this model on the observable quantity of signal strength of Higgs to diphoton decay. After evaluating this quantity, we have found that the current experimental values of this quantity can be fitted in this model. Lastly, we have studied on the possibility of making any of the additional scalar fields of this model as a candidate for dark matter.

42 pages, 1 figure, 7 tables; added Sec. 8 and more phenomenological discussions; published in Phys. Rev. D

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