Modular invariance faces precision neutrino data

We analyze a modular invariant model of lepton masses, with neutrino masses originating either from the Weinberg operator or from the seesaw. The constraint provided by modular invariance is so strong that neutrino mass ratios, lepton mixing angles and Dirac/Majorana phases do not depend on any Lagrangian parameter. They only depend on the vacuum of the theory, parametrized in terms of a complex modulus and a real field. Thus eight measurable quantities are described by the three vacuum parameters, whose optimization provides an excellent fit to data for the Weinberg operator and a good fit for the seesaw case. Neutrino masses from the Weinberg operator (seesaw) have inverted (normal) ordering. Several sources of potential corrections, such as higher dimensional operators, renormalization group evolution and supersymmetry breaking effects, are carefully discussed and shown not to affect the predictions under reasonable conditions.

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Threshold effects and renormalization group evolution of neutrino parameters in TeV scale seesaw models

International Journal of Modern Physics A ◽

10.1142/s0217751x14501140 ◽

2014 ◽

Vol 29 (22) ◽

pp. 1450114 ◽

Cited By ~ 4

Author(s):

Srubabati Goswami ◽

Subrata Khan ◽

Sasmita Mishra

Keyword(s):

Renormalization Group ◽

Numerical Study ◽

Threshold Effect ◽

Factorization Method ◽

Neutrino Masses ◽

Threshold Effects ◽

Mixing Angles ◽

Group Evolution ◽

Analytic Expressions

We consider the threshold effect on the renormalization group (RG) evolution of the neutrino masses and mixing angles in TeV scale seesaw models. We obtain the analytic expressions using the factorization method in the presence of threshold effects. We also perform numerical study of RG effects in two specific low scale seesaw models following the bottom-up approach and ascertain the role of seesaw thresholds in altering the values of masses and mixing angles during RG evolution.

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$$3+1$$ active–sterile neutrino mixing in $$B-L$$ model with $$S_{3}{\times Z_4\times Z_2}$$ symmetry for normal neutrino mass ordering

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09214-5 ◽

2021 ◽

Vol 81 (5) ◽

Author(s):

V. V. Vien

Keyword(s):

Neutrino Mass ◽

Sterile Neutrino ◽

Mass Matrix ◽

Neutrino Masses ◽

Yukawa Interaction ◽

Neutrino Mixing ◽

Normal Ordering ◽

Mixing Angles ◽

Active Mixing ◽

Best Fit

AbstractWe propose a non-renormalizable $$B-L$$ B - L model with $$S_{3}{\times Z_4\times Z_2}$$ S 3 × Z 4 × Z 2 symmetry which successfully accommodates the current active–sterile neutrino mixing in $$3+1$$ 3 + 1 scheme. The $$S_3$$ S 3 flavor symmetry is supplemented by $$Z_4\otimes Z_2$$ Z 4 ⊗ Z 2 symmetry to consolidate the Yukawa interaction of the model. The presence of $$S_3\otimes Z_4\otimes Z_2$$ S 3 ⊗ Z 4 ⊗ Z 2 flavour symmetry plays an important role in generating the desired structure of the neutrino mass matrix. The model can reproduce the recent observed active-neutrino neutrino oscillation data for normal ordering in which two sterile–active mixing angles $$\theta _{14, 24}$$ θ 14 , 24 get the best-fit values and the obtained values of $$\theta _{34}, \delta _{14}, \delta _{14}$$ θ 34 , δ 14 , δ 14 , the sum of neutrino mass and the effective neutrino masses are within their currently allowed ranges.

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Modulus τ linking leptonic CP violation to baryon asymmetry in A4 modular invariant flavor model

Journal of High Energy Physics ◽

10.1007/jhep07(2021)184 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Hiroshi Okada ◽

Yusuke Shimizu ◽

Morimitsu Tanimoto ◽

Takahiro Yoshida

Keyword(s):

Cp Violation ◽

Effective Mass ◽

Vacuum Expectation ◽

Vacuum Expectation Value ◽

Baryon Asymmetry ◽

Neutrino Masses ◽

Normal Hierarchy ◽

Modular Invariant ◽

Mixing Angles ◽

Expectation Value

Abstract We propose an A4 modular invariant flavor model of leptons, in which both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus τ. The value of the modulus τ is restricted by the observed lepton mixing angles and lepton masses for the normal hierarchy of neutrino masses. The predictive Dirac CP phase δCP is in the ranges [0°, 50°], [170°, 175°] and [280°, 360°] for Re [τ] < 0, and [0°, 80°], [185°, 190°] and [310°, 360°] for Re [τ] > 0. The sum of three neutrino masses is predicted in [60, 84] meV, and the effective mass for the 0νββ decay is in [0.003, 3] meV. The modulus τ links the Dirac CP phase to the cosmological baryon asymmetry (BAU) via the leptogenesis. Due to the strong wash-out effect, the predictive baryon asymmetry YB can be at most the same order of the observed value. Then, the lightest right-handed neutrino mass is restricted in the range of M1 = [1.5, 6.5] × 1013 GeV. We find the correlation between the predictive YB and the Dirac CP phase δCP. Only two predictive δCP ranges, [5°, 40°] (Re [τ] > 0) and [320°, 355°] (Re [τ] < 0) are consistent with the BAU.

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On the CP Violation Phase in a Neutrino Mixing Model with an A4 Flavor Symmetry

Communications in Physics ◽

10.15625/0868-3166/26/1/7860 ◽

2016 ◽

Vol 26 (1) ◽

pp. 1

Author(s):

Phi Quang Van ◽

Nguyen Thi Hong Van

Keyword(s):

Experimental Data ◽

Cp Violation ◽

Standard Model ◽

Mixing Model ◽

Neutrino Masses ◽

Flavor Symmetry ◽

Neutrino Mixing ◽

Normal Ordering ◽

Mixing Angles ◽

Mixing Matrix

Neutrino masses and mixing in an extended standard model acquiring an A4 flavour symmetry are considered. The corresponding three-neutrino mixing matrix obtained via a pertur- bative method allows us to determine the Dirac CP violation phase (\delta_{CP}) as a function of the mixing angles (\theta_{12}, \theta_{23}, \theta_{13}). Then, numerical values and distributions of \delta_{CP} are given. The latter values are quite close to the global fits of the experimental data for both the normal ordering and inverse ordering of the neutrino masses.

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Type-I seesaw mechanism for neutrino mass and mixing in gauged B − L model with D4 × Z4 flavor symmetry

Modern Physics Letters A ◽

10.1142/s0217732321501844 ◽

2021 ◽

pp. 2150184

Author(s):

V. V. Vien ◽

H. N. Long ◽

D. P. Khoi

Keyword(s):

Neutrino Mass ◽

Neutrino Masses ◽

Flavor Symmetry ◽

Type I ◽

Normal Ordering ◽

Seesaw Mechanism ◽

Mixing Angles ◽

Neutrino Mass And Mixing ◽

The Standard Model ◽

Best Fit

In this paper, we study a non-renormalizable [Formula: see text] extension of the Standard Model with [Formula: see text] and [Formula: see text] symmetries accommodating the most recent neutrino data within the type-I seesaw mechanism. The two squared mass differences and three mixing angles can get the best-fit values while the leptonic Dirac CP phase is in [Formula: see text] range of the best-fit values for both normal and inverted orderings. The sum of active neutrino mass and the effective neutrino masses are, respectively, predicted to be [Formula: see text], [Formula: see text] and [Formula: see text] for normal ordering while [Formula: see text], [Formula: see text] and [Formula: see text] for inverted ordering, which are well consistent with the current experimental constraints.

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NEUTRINO MASSES, OSCILLATIONS, AND TESTS WITH FUTURE SUPERBEAMS AND A NEUTRINO FACTORY

International Journal of Modern Physics A ◽

10.1142/s0217751x03017269 ◽

2003 ◽

Vol 18 (22) ◽

pp. 3921-3933 ◽

Cited By ~ 4

Author(s):

M. LINDNER

Keyword(s):

Cp Violation ◽

Neutrino Oscillation ◽

Neutrino Masses ◽

Neutrino Factory ◽

Mixing Angles ◽

Long Baseline

Future long baseline neutrino oscillation (LBL) setups are discussed and the remarkable potential for very precise measurements of mass splittings, mixing angles, MSW effects, the sign of Δm2 and leptonic CP violation is shown. Furthermore we discuss the sensitivity improvements which can be obatined by combining the planned JHF-Superkamiokande and the proposed NuMI off-axis experiment.

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Renormalization group evolution of neutrino masses and mixing in the Type-III seesaw mechanism

Nuclear Physics B ◽

10.1016/j.nuclphysb.2009.05.016 ◽

2009 ◽

Vol 820 (1-2) ◽

pp. 116-147 ◽

Cited By ~ 30

Author(s):

Joydeep Chakrabortty ◽

Amol Dighe ◽

Srubabati Goswami ◽

Shamayita Ray

Keyword(s):

Renormalization Group ◽

Neutrino Masses ◽

Seesaw Mechanism ◽

Type Iii ◽

Group Evolution

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ON FERMION MASS HIERARCHY WITH EXTRA DIMENSIONS

Modern Physics Letters A ◽

10.1142/s0217732300000062 ◽

2000 ◽

Vol 15 (01) ◽

pp. 29-39 ◽

Cited By ~ 51

Author(s):

KOICHI YOSHIOKA

Keyword(s):

Extra Dimensions ◽

Large Extra Dimensions ◽

Atmospheric Neutrino ◽

Fermion Mass ◽

Neutrino Masses ◽

Mass Hierarchy ◽

Mixing Angles ◽

Four Dimensions ◽

Matter Fields ◽

Neutrino Masses And Mixings

Recently, various phenomenological implications of the existence of extra space–time dimensions have been investigated. In this letter, we construct a model with realistic fermion mass hierarchy with (large) extra dimensions beyond the usual four dimensions. In this model, it is assumed that some matter fields live in the bulk and the others are confined to our four-dimensional wall. It can naturally reproduce the quark and lepton mass hierarchy and mixing angles without any symmetry arguments. We also discuss some possibilities of obtaining suitable neutrino masses and mixings for the solar and atmospheric neutrino problems.

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