Majorana neutrinos in seesaw mechanism and Bogoliubov quasiparticles
arXiv:1709.04706 · doi:10.1103/PhysRevD.97.055042
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.
20 pages
References in corpus (5)
Cited by in corpus (8)
- Quantum Field Theory of Particle Oscillations: Neutron-Antineutron Conversion
- Generalized Pauli-Gursey transformation and Majorana neutrinos
- Seesaw mechanism and pseudo C-symmetry
- Majorana neutrino and the vacuum of Bogoliubov quasiparticle
- Operatorial characterization of Majorana neutrinos
- Baryon number violation and novel canonical anti-commutation relations
- Parity and CP operations for Majorana neutrinos
- Seesaw, coherence and neutrino oscillations