Modular invariance faces precision neutrino data

By Juan Carlos Criado, F. Feruglio. SciPost Physics, 2018

152 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8bd77127497b2a1150ecf8bd104b74421abc9425

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. P. Novichkov
2. J. Penedo
3. I. Martinez-Soler
4. Jordi Salvado
5. A. Titov
6. S. Petcov

In Nuclear and High Energy Physics

1. A. Titov
2. P. Novichkov
3. J. Penedo
4. S. Petcov
5. Z. Xing
6. T. Han
7. I. Mocioiu
8. I. Martinez-Soler

Citations in the corpus

• Unification of flavor, CP, and modular symmetries (2019, background): “It would also connect to bottom-up constructions that use duality transformations for models of mixing in the quark and especially the lepton sector [21–33], although there are two major differences between these studies and our present point of view.”
• Generalised CP symmetry in modular-invariant models of flavour (2019, methodology): “Until now models based on the finite modular groups Γ2 ' S3 [23, 24], Γ3 ' A4 [21, 23–29], Γ4 ' S4 [30, 31] and Γ5 ' A5 [32, 33] have been constructed in the literature.”
• Modular A5 symmetry for flavour model building (2018, background): “[19,20], where several viable examples have been presented.”
• Neutrino non-standard interactions: A status report (2019, background): “In addition, these discrete (flavor) symmetries may originate from extra dimension compactification [75, 76].”