2018/07/31 by Juan Carlos Criado, Ferruccio Feruglio · 1 citation
Physics and Astronomy · #Invariant (physics) #Invariant mass #Lepton #Neutrino #Neutrino Physics Research #Neutrino oscillation #Operator (biology) #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #R-parity #Renormalization #Seesaw molecular geometry #hep-ph #hep-th
paper · pdf · doi:10.21468/scipostphys.5.5.042
published as SciPost Phys. 5, 042 (2018) · 29 pages, 1 figure; further comments, one on the quark sector, added
openalex created_date 2018/07/10 · arxiv created 2018/09/25 · openalex publication_date 2018/11/01 · arxiv updated 2018/11/07 · openalex updated_date 2026/08/06
We analyze a modular invariant model of lepton masses, with neutrino masses originating either from the Weinberg operator or from the seesaw. The constraint provided by modular invariance is so strong that neutrino mass ratios, lepton mixing angles and Dirac/Majorana phases do not depend on any Lagrangian parameter. They only depend on the vacuum of the theory, parametrized in terms of a complex modulus and a real field. Thus eight measurable quantities are described by the three vacuum parameters, whose optimization provides an excellent fit to data for the Weinberg operator and a good fit for the seesaw case. Neutrino masses from the Weinberg operator (seesaw) have inverted (normal) ordering. Several sources of potential corrections, such as higher dimensional operators, renormalization group evolution and supersymmetry breaking effects, are carefully discussed and shown not to affect the predictions under reasonable conditions.