Abstract
In a recent re-analysis of the Standard Model (SM) beta-function for the effective neutrino mass operator, we found that the previous results were not entirely correct. Therefore, we consider the analogous dimension five operators in a class of Two Higgs Doublet Models (2HDM's) and the Minimal Supersymmetric Standard Model (MSSM). Deriving the renormalization group equations for these effective operators, we confirm the existing result in the case of the MSSM. Some of our 2HDM results are new, while others differ from earlier calculations. This leads to modifications in the renormalization group evolution of leptonic mixing angles and CP phases in the 2HDM's.
Highlights
The discovery of neutrino masses requires an extension of the Standard Model (SM)
When the SM is viewed as an effective field theory, Majorana masses for the neutrinos can be introduced via higher-dimensional operators of SM fields
This is accomplished with the renormalization group equations (RGE’s) for the neutrino mass operators in the theory valid at intermediate energy scales
Summary
The discovery of neutrino masses requires an extension of the Standard Model (SM). The most promising scenario for giving masses to neutrinos is the see-saw mechanism [1], which provides a convincing explanation for their smallness. In order to compare the experimental results with predictions from models beyond the SM, like unified theories, it is essential to evolve the masses, mixing angles and CP phases from high to low energies. This is accomplished with the renormalization group equations (RGE’s) for the neutrino mass operators in the theory valid at intermediate energy scales. This theory may be the SM, but can be an extension like a two Higgs doublet model (2HDM) or the minimal supersymmetric Standard Model (MSSM). Antusch et al / Physics Letters B 525 (2002) 130–134 corresponding operators in a class of 2HDM’s and the MSSM
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