scholarly journals Renormalization-group equations of neutrino masses and flavor mixing parameters in matter

2018 ◽  
Vol 2018 (5) ◽  
Author(s):  
Zhi-zhong Xing ◽  
Shun Zhou ◽  
Ye-Ling Zhou
Keyword(s):  
Renormalization Group ◽  
Neutrino Masses ◽  
Mixing Parameters ◽  
Renormalization Group Equations ◽  
Flavor Mixing

Neutrinos and cosmological matter–antimatter asymmetry: A minimal seesaw with Frampton–Glashow–Yanagida ansatz

2017 ◽  
Vol 32 (16) ◽  
pp. 1742004
Author(s):  
Jue Zhang ◽  
Shun Zhou
Keyword(s):  
Renormalization Group ◽  
Low Energy ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
High Energies ◽  
Seesaw Model ◽  
Mixing Parameters ◽  
Energy Neutrino ◽  
Flavor Mixing ◽  
Neutrino Experiments

In light of the latest neutrino data, we revisit a minimal seesaw model with the Frampton–Glashow–Yanagida ansatz. Renormalization-group running effects on neutrino masses and flavor mixing parameters are discussed and found to essentially have no impact on testing such a minimal scenario in low-energy neutrino experiments. However, since renormalization-group running can modify neutrino mixing parameters at high energies, it does affect the leptogenesis mechanism, which is responsible for the observed matter–antimatter asymmetry in our Universe. Furthermore, to ease the conflict between the naturalness argument and the successful leptogenesis, a special regime for resonant leptogenesis is also emphasized.

scholarly journals Flavor symmetries in the Yukawa sector of non-supersymmetric SO(10): numerical fits using renormalization group running

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Tommy Ohlsson ◽  
Marcus Pernow
Keyword(s):  
Renormalization Group ◽  
Mass Parameter ◽  
Double Beta Decay ◽  
Type I ◽  
Flavor Symmetries ◽  
Fitting Procedure ◽  
Mixing Parameters ◽  
Fermion Masses ◽  
Renormalization Group Equations ◽  
Yukawa Sector

Abstract We consider a class of SO(10) models with flavor symmetries in the Yukawa sector and investigate their viability by performing numerical fits to the fermion masses and mixing parameters. The fitting procedure involves a top-down approach in which we solve the renormalization group equations from the scale of grand unification down to the electroweak scale. This allows the intermediate scale right-handed neutrinos and scalar triplet, involved in the type I and II seesaw mechanisms, to be integrated out at their corresponding mass scales, leading to a correct renormalization group running. The result is that, of the 14 models considered, only two are able to fit the known data well. Both these two models correspond to ℤ2 symmetries. In addition to being able to fit the fermion masses and mixing parameters, they provide predictions for the sum of light neutrino masses and the effective neutrinoless double beta decay mass parameter, which are both within current observational bounds.

scholarly journals RENORMALIZATION GROUP EVOLUTION OF NEUTRINO MASSES AND MIXING IN SEESAW MODELS

2010 ◽  
Vol 25 (23) ◽  
pp. 4339-4384 ◽  
Author(s):  
SHAMAYITA RAY
Keyword(s):  
Renormalization Group ◽  
High Energy ◽  
Energy Scale ◽  
Low Energy ◽  
Effective Theory ◽  
Neutrino Masses ◽  
Mixing Parameters ◽  
Group Evolution ◽  
High Energy Scale ◽  
The Masses

We consider different extensions of the Standard Model which can give rise to the small active neutrino masses through seesaw mechanisms, and their mixing. These tiny neutrino masses are generated at some high energy scale by the heavy seesaw fields which then get sequentially decoupled to give an effective dimension-5 operator at the low energy. The renormalization group evolution of the masses and the mixing parameters of the three active neutrinos in the high energy as well as the low energy effective theory is reviewed in this paper.

scholarly journals Renormalization group equations for seesaw neutrino masses

1993 ◽  
Vol 316 (2-3) ◽  
pp. 312-317 ◽  
Author(s):  
Piotr H. Chankowski ◽  
Zbigniew Płuciennik
Keyword(s):  
Renormalization Group ◽  
Neutrino Masses ◽  
Renormalization Group Equations

scholarly journals Flavor Mixing and the Permutation Symmetry among Generations

2020 ◽  
Vol 2020 ◽  
pp. 1-8 ◽  
Author(s):  
T. K. Kuo ◽  
S. H. Chiu
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Symmetry Group ◽  
Mass Matrix ◽  
Symmetry Operation ◽  
Permutation Symmetry ◽  
Renormalization Group Equations ◽  
The Standard Model ◽  
Flavor Mixing ◽  
Physical Variables

In the standard model, the permutation symmetry among the three generations of fundamental fermions is usually regarded to be broken by the Higgs couplings. It is found that the symmetry is restored if we include the mass matrix parameters as physical variables which transform appropriately under the symmetry operation. Known relations between these variables, such as the renormalization group equations, as well as formulas for neutrino oscillations (in vacuum and in matter), are shown to be covariant tensor equations under the permutation symmetry group.

scholarly journals SUM RULES OF FOUR-NEUTRINO MIXING IN MATTER

2007 ◽  
Vol 22 (18) ◽  
pp. 1341-1347 ◽  
Author(s):  
HE ZHANG
Keyword(s):  
Cp Violation ◽  
Sum Rules ◽  
Sterile Neutrino ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Long Baseline ◽  
Mixing Parameters ◽  
Flavor Mixing ◽  
Mixing Matrix ◽  
Model Independent

Assuming the existence of one light sterile neutrino, we investigate the neutrino flavor mixing matrix in matter. Sum rules between the mixing parameters in vacuum and their counterparts in matter are derived. By using these new sum rules, we obtain the simple but exact expressions of the effective flavor mixing matrix in matter in terms of neutrino masses and the mixing parameters in vacuum. The rephasing invariants, sides of unitarity quadrangles and oscillation probabilities in matter are also achieved. Our model-independent results will be very helpful for analyzing flavor mixing and CP violation in the future long-baseline neutrino oscillation experiments.

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