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Energy-Scale Dependence of the Lepton-Flavor-Mixing Matrix

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arxiv hep-ph/9904292 v1 pith:ILYMI47V submitted 1999-04-10 hep-ph

classification hep-ph
keywords energy-scalekappalepton-flavor-mixingmatrixdependdependenceeffectiveoperators
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study an energy-scale dependence of the lepton-flavor-mixing matrix in the minimal supersymmetric standard model with the effective dimension-five operators which give the masses of neutrinos. We analyze the renormalization group equations of kappa_{ij}s which are coefficients of these effective operators under the approximation to neglect the corrections of O(\kappa^2). As a consequence, we find that all phases in $\kappa$ do not depend on the energy-scale, and that only n_g-1 (n_g: generation number) real independent parameters in the lepton-flavor-mixing matrix depend on the energy-scale.

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Cited by 3 Pith papers

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

  1. Quantum effects on neutrino parameters from a flavored gauge boson

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    A family-dependent U(1)_{Lμ-Lτ} gauge boson adds a one-loop term to the Weinberg-operator RGE that can raise the rank of the neutrino mass matrix, generating a lightest neutrino mass even if it starts at zero.

  2. Complete Two-loop Renormalization Group Equation of the Weinberg Operator

    hep-ph 2024-11 accept novelty 7.0 of 10

    The full two-loop renormalization group equation of the dimension-5 Weinberg operator in the Standard Model is derived, completing the two-loop RGE program of SMEFT up to dimension 5.

  3. Running of neutrino mass parameters in the Zee model

    hep-ph 2025-12 conditional novelty 6.0 of 10

    In the Zee model, one-loop EFT running—not direct matching—generates the neutrino mass matrix, and 1% variations in fitted high-scale couplings shift neutrino observables beyond next-generation experimental precision.

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