We investigate accurate renormalization group analyses in neutrino sector between ν-oscillation and seesaw energy scales. We consider decoupling effects of top quark and Higgs boson on the renormalization group equations of light neutrino mass matrix. Since the decoupling effects are given in the standard model scale and independent of high energy physics, our method can basically apply to any models beyond the standard model. We find that the decoupling effects of Higgs boson are negligible, while those of top quark are not. Particularly, the decoupling effects of top quark affect neutrino mass eigenvalues, which are important for analyzing predictions such as mass squared differences and neutrinoless double beta decay in an underlying theory existing at high energy scale.
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This work is partially supported by Scientific Grant by Ministry of Education, Culture, Sports, Science, and Technology , Nos. 24540272 , 20244028 , 21244036 , 23340070 , and by the SUHARA Memorial Foundation . The works of K.K., R.T., and Y.Y. are supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists (No. 24.801 (R.T.), 24⋅1077 (K.K.), and 26⋅2428 (Y.Y.)). The work is also supported by World Premier International Research Center Initiative (WPI Initiative), MEXT , Japan.