Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5495466 | Physics Letters B | 2017 | 6 Pages |
Abstract
We present an alternative perspective on the see-saw mechanism for the neutrino mass, according to which the small neutrino mass is given as a difference of two large masses. This view emerges when an analogue of the Bogoliubov transformation is used to describe Majorana neutrinos in the Lagrangian of the see-saw mechanism, which is analogous to the BCS theory. The Bogoliubov transformation clarifies the natural appearance of Majorana fermions when C is strongly violated by the right-handed neutrino mass term with good CP in the single flavor model. Analyzing typical models with mR=104 to 1015GeV, it is shown that a hitherto unrecognized fine tuning of the order mν/mR=10â15 to 10â26 is required to make the commonly perceived see-saw mechanism work in a natural setting, namely, when none of the dimensionless coupling constants are very small.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Kazuo Fujikawa, Anca Tureanu,