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 satisfy the rho parameter.
Radiative lepton model in a non-invertible fusion rule
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We propose a radiatively induced lepton mass model introducing a $Z_2$ gauging $Z_5$ fusion rule. In our framework, the charged-lepton mass matrix is generated at one-loop level via dynamical breaking of the fusion rule. On the other hand, the neutrino mass matrix is induced at the one-loop level without breaking the fusion rule. As a direct consequence of the loop induced charged lepton masses, we can also consider lepton flavor violations, electron and muon $g-2$, and charged-lepton electric dipole moments that come into our valid phenomenological discussion. Then, we perform numerical analysis and show some interesting tendency on the Dirac $CP$ phase, two Majorana phases, charged-lepton electric dipole moments and the neutrinoless double beta decay, all of which depends on their arguments where we fix the absolute values of our free parameters in order to satisfy experimental data of the lepton masses and mixing angles.
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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- and loop-level processes without requiring faithful realization or exclusive use.
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.
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.
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.
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.
citing papers explorer
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A theoretical account of tiny multi-Higgs vacuum expectation values from non-invertible symmetry
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 satisfy the rho parameter.
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A General Prescription for Spurion Analysis of Non-Invertible Selection Rules
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- and loop-level processes without requiring faithful realization or exclusive use.
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Dirac one-loop seesaw in a non-invertible fusion rule
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.
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More about modular symmetries and non-invertible properties in magnetized compactifications
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 with a non-invertible $Z_M$ symmetry
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.
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Dynamical CP Violation from Non-Invertible Selection Rules
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.