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Fixed points in the evolution of neutrino mixings

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arxiv hep-ph/9910231 v3 pith:EHPHYJJ3 submitted 1999-10-05 hep-ph

P.H. Chankowski (CERN , Warsaw) , W. Krolikowski (Warsaw) , S. Pokorski (Warsaw) This is my paper · ORCID
classification hep-ph
keywords thetaanglesfixedmassneutrinodiscussequationsevolution
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abstract

We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give $\sin^22\theta_{sol}=\sin^22\theta_{atm}\sin^2\theta_3/ (\sin^2\theta_{atm}\cos^2\theta_3 + \sin^2\theta_3)^2$, consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.

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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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