Renormalization Group Evolution of Neutrino Masses and Mixing in Seesaw Models

Ray, Samriddhi Sankar

doi:10.1142/s0217751x10049839

Cited by 18 publications

(14 citation statements)

References 122 publications

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“…The renormalization group (RG) evolution of neutrino parameters has recently been reviewed in 173 . If some unknown high energy theory at a scale Λ leads to a mass matrix m 0 ν , then in the effective theory one has the following mass matrix at low scale λ, where measurements take place:…”

Section: Renormalizationmentioning

confidence: 99%

Neutrino-Less Double Beta Decay and Particle Physics

Rodejohann

2011

Int. J. Mod. Phys. E

530

529

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We review the particle physics aspects of neutrino-less double beta decay. This process can be mediated by light massive Majorana neutrinos (standard interpretation) or by something else (non-standard interpretations). The physics potential of both interpretations is summarized and the consequences of future measurements or improved limits on the half-life of neutrino-less double beta decay are discussed. We try to cover all proposed alternative realizations of the decay, including light sterile neutrinos, supersymmetric or left-right symmetric theories, Majorons, and other exotic possibilities. Ways to distinguish the mechanisms from one another are discussed. Experimental and nuclear physics aspects are also briefly touched, alternative processes to double beta decay are discussed, and an extensive list of references is provided.

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Section: Renormalizationmentioning

confidence: 99%

Neutrino-Less Double Beta Decay and Particle Physics

Rodejohann

2011

Int. J. Mod. Phys. E

530

529

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“…As is well known, the effective neutrino mass matrix, M ν , is sensitive to the effect of the running of the mass matrix parameters from high to low energy [72,73]. Actually, small mixing angles could get a notable enhancement, as remarked in [72].…”

Section: The Masses Of Right-handed Neutrinos Without Degenerationmentioning

confidence: 91%

$$Q_{6}$$ Q 6 as the flavor symmetry in a non-minimal SUSY $$SU(5)$$ S U ( 5 ) model

2015

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We present a non-minimal renormalizable SUSY SU (5) model, with extended Higgs sector and right-handed neutrinos, where the flavor sector exhibits a Q 6 flavor symmetry. We analyzed the simplest version of this model, in which R-parity is conserved and the right-handed neutrino masses in the flavor doublet are considered with and without degeneracy. We find the generic form of the mass matrices both in the quark and lepton sectors. We reproduce, according to current data, the mixing in the CKM matrix. In the leptonic sector, in the general case where the right-handed neutrino masses are not degenerate, we find that the values for the solar, atmospheric, and reactor mixing angles are in very good agreement with the experimental data, both for a normal and an inverted hierarchy. In the particular case where the right-handed neutrinos masses are degenerate, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. In this case the atmospheric and solar angles are in very good agreement with experimental data, and the reactor one is different from zero, albeit too small (θ th 13 ∼ 3.38 • ). This value constitutes a lower bound for θ 13 in the general case. We also find the range of the values for the neutrino masses in each case.

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“…In the supersymmetric theories with a large tan β, it has been found that the RG evolution may lead to significant modifications to the mixing parameters, in particular the solar mixing angle θ 12 (see e.g., Ref. [12] and references therein). To be explicit, we write down the RGE's for neutrino mixing angles in the MSSM in the leadingorder approximation [13], • is assumed at the high-energy scale, the RG effects will lead to an even larger θ 12 at the low-energy scale, which may be in conflict with current oscillation data [14].…”

Section: Radiative Correctionsmentioning

confidence: 99%

Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large θ13

Zhang

Zhou

2011

Physics Letters B

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The tetra-maximal neutrino mixing pattern predicts a relatively large reactor mixing angle θ 13 ≈ 8.4 • , which is in good agreement with the latest best-fit value θ 13 = 9 • . However, its prediction for θ 12 ≈ 30.4 • is inconsistent with current oscillation data at the 3σ C.L. We show that explicit perturbations to the tetra-maximal mixing can naturally enhance θ 12 to its best-fit value θ 12 = 34 • .Furthermore, we demonstrate that if the tetra-maximal mixing is produced by a certain flavor symmetry at a high-energy scale Λ = 10 14 GeV, significant radiative corrections in the minimal supersymmetric standard model can modify θ 12 to be compatible with experimental data at the electroweak scale Λ EW = 10 2 GeV. The predictions for θ 13 ≈ 8.4 • and θ 23 = 45 • , as well as the CP-violating phases ρ = σ = −δ = 90 • , are rather stable against radiative corrections.

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Renormalization Group Evolution of Neutrino Masses and Mixing in Seesaw Models

Cited by 18 publications

References 122 publications

Neutrino-Less Double Beta Decay and Particle Physics

Neutrino-Less Double Beta Decay and Particle Physics

$$Q_{6}$$ Q 6 as the flavor symmetry in a non-minimal SUSY $$SU(5)$$ S U ( 5 ) model

Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large θ13

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