Pith. sign in

REVIEW 2 cited by

Generalized CP and $\Delta (3n^2)$ Family Symmetry for Semi-Direct Predictions of the PMNS Matrix

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 1510.03188 v1 pith:2BFID3KM submitted 2015-10-12 hep-ph

Gui-Jun Ding , Stephen F. King This is my paper · ORCID
classification hep-ph
keywords deltatransformationsgeneralizedonlysymmetryautomorphismsdivisiblefamily
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The generalized CP transformations can only be consistently defined in the context of $\Delta(3n^2)$ lepton symmetry if a certain subset of irreducible representations are present in a model. We perform a comprehensive analysis of the possible automorphisms and the corresponding CP transformations of the $\Delta(3n^2)$ group. It is sufficient to only consider three automorphisms if $n$ is not divisible by 3 while additional eight types of CP transformations could be imposed for the case of $n$ divisible by 3. We study the lepton mixing patterns which can be derived from the $\Delta(3n^2)$ family symmetry and generalized CP in the semi-direct approach. The PMNS matrix is determined to be the trimaximal pattern for all the possible CP transformations, and it can only take two distinct forms.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Low-scale seesaw with flavour and CP symmetries $\unicode{x2013}$ from colliders to leptogenesis

    hep-ph 2024-12 conditional novelty 6.0 of 10

    For four flavour-symmetry cases, this paper maps heavy-neutrino lifetimes, decay flavour ratios, and the parameter space where leptogenesis works and colliders can test it.

  2. The Future of Lepton Flavor

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.

Pith tools