Renormalization of the neutrino mass operators in the multi-Higgs-doublet standard model
Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria
2 Instituto Superior Técnico, Universidade Técnica de Lisboa and Centro de Física Teórica de Partículas, 1049-001, Lisboa, Portugal
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We derive the renormalization group equations (RGE) for the flavor coupling matrices of the effective dimension-five operators which yield Majorana neutrino masses in the multi-Higgs-doublet standard model; in particular, we consider the case where two different scalar doublets occur in those operators. We also write down the RGE for the scalar-potential quartic couplings and for the Yukawa couplings of that model, in the absence of quarks. As an application of the RGE, we consider two models which, based on a μ- interchange symmetry, predict maximal atmospheric neutrino mixing, together with U e3 = 0, at the seesaw scale. We estimate the change of those predictions due to the evolution of the coupling matrices of the effective mass operators from the seesaw scale down to the electroweak scale. We derive an upper bound on that change, thereby finding that the radiative corrections to those predictions are in general negligible.
© Springer-Verlag, 2005