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#### Phenomenological consequences of sub-leading terms in see-saw formulas

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Hettmansperger, H., Lindner, M., & Rodejohann, W. (2011). Phenomenological consequences
of sub-leading terms in see-saw formulas.* Journal of High Energy Physics,* *2011*(4):
123, pp. 1-21. doi:10.1007/JHEP04(2011)123.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-6F4D-9

##### Abstract

Several aspects of next-to-leading (NLO) order corrections to see-saw formulas are discussed and phenomenologically relevant situations are identified. We generalize the formalism to calculate the NLO terms developed for the type I see-saw to variants like the inverse, double or linear see-saw, i.e., to cases in which more than two mass scales are present. In the standard type I case with very heavy fermion singlets the sub-leading terms are negligible. However, effects in the percent regime are possible when sub-matrices of the complete neutral fermion mass matrix obey a moderate hierarchy, e.g. weak scale and TeV scale. Examples are cancellations of large terms leading to small neutrino masses, or inverse see-saw scenarios. We furthermore identify situations in which no NLO corrections to certain observables arise, namely for μ–τ symmetry and cases with a vanishing neutrino mass. Finally, we emphasize that the unavoidable unitarity violation in see-saw scenarios with extra fermions can be calculated with the formalism in a straightforward manner.