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A natural realization of inverse seesaw model in a non-invertible selection rule

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arxiv 2508.16174 v1 pith:HIDXKFCP submitted 2025-08-22 hep-ph

A natural realization of inverse seesaw model in a non-invertible selection rule

classification hep-ph
keywords hierarchiesinverselevelnaturalneutralruleseesawsymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose natural hierarchies among neutral fermions in a framework of inverse seesaw, imposing a $Z_3$ Tambara-Yamagami fusion rule which is applied to our phenomenology. Under the symmetry, the Majorana mass terms for $N_R$ and $N_L$ are forbidden at tree level. However they are generated at one-loop level where the symmetry is dynamically broken. In order to realize such loop corrections, we introduce neutral boson and fermion either of which can be an appropriate dark matter candidate. Finally, we show the best fit value of the neutrino sector for normal and inverted hierarchies referring recent experimental results.

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Cited by 6 Pith papers

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

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    Non-invertible symmetry from the minimal Fibonacci fusion rule forbids tree-level VEVs for multi-Higgs fields H4 and H5, generating them radiatively at one-loop with naturally small values of 10^{-3}-10^{-2} GeV that ...

  2. A General Prescription for Spurion Analysis of Non-Invertible Selection Rules

    hep-ph 2026-04 unverdicted novelty 7.0

    A general prescription is formulated for spurion analysis of commutative non-invertible fusion algebras in particle physics, unifying prior specific cases and enabling systematic tracking of coupling constants in tree...

  3. Dirac one-loop seesaw in a non-invertible fusion rule

    hep-ph 2026-04 unverdicted novelty 6.0

    A one-loop Dirac neutrino mass model stabilized by a non-invertible fusion rule from Z3 x Z3' accommodates oscillation data and provides a viable bosonic dark matter candidate.

  4. More about modular symmetries and non-invertible properties in magnetized compactifications

    hep-th 2026-05 unverdicted novelty 5.0

    Incomplete zero-mode multiplets under Scherk-Schwarz phases in magnetized compactifications violate modular symmetry as a group but retain control over couplings via full modular forms.

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    Zee models are classified under non-invertible Z_M symmetries; viable candidates are identified from data consistency, and a Z_7 benchmark yields numerical predictions for neutrino parameters and CLFV rates.

  6. Dynamical CP Violation from Non-Invertible Selection Rules

    hep-ph 2026-04 unverdicted novelty 5.0

    Dynamical generation of leptonic CP violation and light sterile neutrino masses via radiative breaking of non-invertible selection rules, illustrated in the Inverse Seesaw model.