Pith. sign in

REVIEW 4 cited by

New $A_4$ lepton flavor model from $S_4$ modular symmetry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1907.09141 v4 pith:GYBBO2IN submitted 2019-07-22 hep-ph

Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi This is my paper · ORCID
classification hep-ph
keywords modularsymmetryflavorformsmodelneutrinoanomaloushierarchy
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We study a flavor model with $A_4$ symmetry which originates from $S_4$ modular group. In $S_4$ symmetry, $Z_2$ subgroup can be anomalous, and then $S_4$ can be violated to $A_4$. Starting with a $S_4$ symmetric Lagrangian at the tree level, the Lagrangian at the quantum level has only $A_4$ symmetry when $Z_2$ in $S_4$ is anomalous. We obtain modular forms of two singlets and a triplet representations of $A_4$ by decomposing $S_4$ modular forms into $A_4$ representations. We propose a new $A_4$ flavor model of leptons by using those $A_4$ modular forms. We succeed in constructing a viable neutrino mass matrix through the Weinberg operator for both normal hierarchy (NH) and inverted hierarchy (IH) of neutrino masses. Our predictions of the CP violating Dirac phase $\delta_{CP}$ and the mixing $\sin^2\theta_{23}$ depend on the sum of neutrino masses for NH.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations

    hep-ph 2025-05 conditional novelty 6.0 of 10

    This paper classifies lepton-coupled UV mediators under modular A4 symmetry and derives experimental lower bounds on their masses from lepton flavor observables.

  2. A modular $A_4$ symmetric scotogenic model

    hep-ph 2019-08 conditional novelty 6.0 of 10

    This paper builds a minimal scotogenic model with A4 modular symmetry and claims numerical predictions for CP phases, neutrino mass sum, and neutrinoless double beta decay that are consistent with current oscillation data.

  3. Trimaximal TM$_1$ mixing with two modular $S_4$ groups

    hep-ph 2019-08 accept novelty 6.0 of 10

    A two-modular-S4 flavour model predicts TM1 lepton mixing and a new mass sum rule that keeps the lightest neutrino mass above roughly 0.025 eV.

  4. Neutrino mass model with a modular $S_4$ symmetry

    hep-ph 2019-08 conditional novelty 4.0 of 10

    A modular S4 radiative seesaw model fits normal-hierarchy neutrino data and predicts a total neutrino mass of roughly 58-62 meV and a double-beta decay mass of 1-4 meV.

Pith tools