Work

Two classes of Majorana neutrinos in the seesaw model

Year: 2024

Type: article

Abstract: The commonly used pseudo-C symmetry ( ν L ) c = C ν L ‾ T is not defined in Lagrangian field theory. In general, there exist two classes of Majorana fermions: the first is associated with the Dirac-type fermion with the conventional C and P symmetries, and the second is associated with the Weyl-type fermion defined by CP symmetry only and formally characterized by the pseudo-C symmetry. Taking the seesaw model as an example, it is shown that a generalized Pauli–Gürsey (or Bogoliubov-type) canonical transformation converts the neutrino defined by the Weyl-type fermion to the neutrino defined by the Dirac-type fermion and thus to the conventional Majorana fermion, while preserving the canonical anti-commutation relations. The mixing angles in the weak lepton sector are not modified by this generalized Pauli–Gürsey transformation.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2024.139064

Authors: Kazuo Fujikawa, Anca Tureanu

Institutions: RIKEN, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences, University of Helsinki, Helsinki Institute of Physics

Language: English

Topic: Neutrino Physics Research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Space-time symmetry and particle physics