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arXiv · 1709.04706

Majorana neutrinos in seesaw mechanism and Bogoliubov quasiparticles

Kazuo Fujikawa·Anca Tureanu
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Abstract

The idea that the Majorana neutrino should be identified as a Bogoliubov quasiparticle is applied to the seesaw mechanism for the three generations of neutrinos in the Standard Model. A relativistic analogue of the Bogoliubov transformation in the present context is a CP-preserving canonical transformation but modifies charge conjugation properties in such a way that the C-noninvariant fermion number violating term (condensate) is converted to a Dirac mass term. Puzzling aspects associated with the charge conjugation of chiral Weyl fermions are clarified. By invoking the Coleman--Weinberg mechanism in the framework of dimensional regularization, it is also noted that seesaw models become unnatural in some parameter regions which induce the hierarchy problems in the bosonic sector.

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Kazuo Fujikawa, Anca Tureanu. 2017-09-14. Majorana neutrinos in seesaw mechanism and Bogoliubov quasiparticles. https://doi.org/10.1103/physrevd.97.055042

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