Triplet-extended scalar sector and the naturalness problem
arXiv:1404.1723 · doi:10.1103/PhysRevD.89.095032
Abstract
We consider the extension of the Standard Model by a complex scalar triplet field, which occurs naturally in several models of leptogenesis and see-saw mechanism for neutrino mass generation, in the context of ameliorating the fine-tuning problem of the fundamental scalars through the Veltman Condition, i.e. by demanding the sum of the quadratically divergent corrections to vanish (or be at a reasonable level) by virtue of some possible symmetry of the underlying theory. We show that it is possible to cancel all the scalar one-loop quadratic divergences and hence obtain a viable solution for the fine-tuning problem, while satisfying the electroweak precision observables, including the parameter, and successfully generating the neutrino masses. The stability of the scalar potential puts important constraints on the model.
arXiv commentv2: 11 pages, including 5 eps figures. A new section on scalar spectrum added. A typo corrected. Lots of references added. All results of the previous version unchanged. Version to be published in Phys. Rev. D
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