scholarly journals Asymmetric tri-bi-maximal mixing and residual symmetries

2020 ◽  
Vol 35 (35) ◽  
pp. 2050292
Author(s):  
Salvador Centelles Chuliá ◽  
Andreas Trautner
Keyword(s):  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Flavor Symmetry ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Flavor Symmetries ◽  
Flavor Mixing

Asymmetric tri-bi-maximal mixing is a recently proposed, grand unified theory (GUT) based, flavor mixing scheme. In it, the charged lepton mixing is fixed by the GUT connection to down-type quarks and a [Formula: see text] flavor symmetry, while neutrino mixing is assumed to be tri-bi-maximal (TBM) with one additional free phase. Here we show that this additional free phase can be fixed by the residual flavor and CP symmetries of the effective neutrino mass matrix. We discuss how those residual symmetries can be unified with [Formula: see text] and identify the smallest possible unified flavor symmetries, namely [Formula: see text] and [Formula: see text]. Sharp predictions are obtained for lepton mixing angles, CP violating phases and neutrinoless double beta decay.

scholarly journals NEUTRINO MASSES, LEPTON FLAVOR MIXING AND LEPTOGENESIS IN THE MINIMAL SEESAW MODEL

2007 ◽  
Vol 16 (01) ◽  
pp. 1-50 ◽  
Author(s):  
WAN-LEI GUO ◽  
ZHI-ZHONG XING ◽  
SHUN ZHOU
Keyword(s):  
Beta Decay ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Majorana Neutrino ◽  
Double Beta Decay ◽  
Neutrino Mixing ◽  
Lepton Flavor ◽  
Seesaw Model ◽  
Flavor Mixing ◽  
Majorana Neutrinos

We present a review of neutrino phenomenology in the minimal seesaw model (MSM), an economical and intriguing extension of the Standard Model with only two heavy right-handed Majorana neutrinos. Given current neutrino oscillation data, the MSM can predict the neutrino mass spectrum and constrain the effective masses of the tritium beta decay and the neutrinoless double-beta decay. We outline five distinct schemes to parameterize the neutrino Yukawa-coupling matrix of the MSM. The lepton flavor mixing and baryogenesis via leptogenesis are investigated in some detail by taking account of possible texture zeros of the Dirac neutrino mass matrix. We derive an upper bound on the CP-violating asymmetry in the decay of the lighter right-handed Majorana neutrino. The effects of the renormalization-group evolution on the neutrino mixing parameters are analyzed, and the correlation between the CP-violating phenomena at low and high energies is highlighted. We show that the observed matter-antimatter asymmetry of the Universe can naturally be interpreted through the resonant leptogenesis mechanism at the TeV scale. The lepton-flavor-violating rare decays, such as μ→e+γ, are also discussed in the supersymmetric extension of the MSM.

scholarly journals Neutrinoless double beta decay in minimal left–right symmetric model with universal seesaw

2018 ◽  
Vol 33 (35) ◽  
pp. 1850198 ◽  
Author(s):  
Debasish Borah ◽  
Arnab Dasgupta ◽  
Sudhanwa Patra
Keyword(s):  
Beta Decay ◽  
Parameter Space ◽  
Half Life ◽  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
New Physics ◽  
Double Beta Decay ◽  
Model Parameters ◽  
Symmetric Model ◽  
Neutrino Mixing

We present a detailed discussion on neutrinoless double beta decay [Formula: see text] within left–right symmetric models based on the gauge symmetry of type [Formula: see text] as well as [Formula: see text] where fermion masses including that of neutrinos are generated through a universal seesaw mechanism. We find that one or more of the right-handed neutrinos could be as light as a few keV if left–right symmetry breaking occurs in the range of a few TeV to 100 TeV. With such light right-handed neutrinos, we perform a detailed study of new physics contributions to [Formula: see text] and constrain the model parameters from the latest experimental bound on such a rare decay process. We find that the new physics contribution to [Formula: see text] in such a scenario, particularly the heavy–light neutrino mixing diagrams, can individually saturate the existing experimental bounds, but their contributions to total [Formula: see text] half-life cancel each other due to unitarity of the total [Formula: see text] mass matrix. The effective contribution to half-life therefore, arises from the purely left and purely right neutrino and gauge boson mediated diagrams. We find that the parameter space saturating the [Formula: see text] bounds remains allowed from the latest experimental bounds on charged lepton flavor violating decays like [Formula: see text]. We finally include the bounds from cosmology and supernova to constrain the parameter space of the model.

scholarly journals Neutrino mixing with nonzero θ13 and CP violation in the 3-3-1 model based on A4 flavor symmetry

2015 ◽  
Vol 30 (21) ◽  
pp. 1550117 ◽  
Author(s):  
Vo Van Vien ◽  
Hoang Ngoc Long
Keyword(s):  
Cp Violation ◽  
Effective Mass ◽  
Beta Decay ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Flavor Symmetry ◽  
Neutrino Mixing ◽  
Fermion Masses ◽  
New Formula

We propose a 3-3-1 model with neutral fermions based on [Formula: see text] flavor symmetry responsible for fermion masses and mixings with nonzero [Formula: see text]. To get realistic neutrino mixing, we just add a new [Formula: see text] triplet being in [Formula: see text] under [Formula: see text]. The neutrinos get small masses from two [Formula: see text] antisextets and one [Formula: see text] triplet. The model can fit the present data on neutrino masses and mixing as well as the effective mass governing neutrinoless double beta decay. Our results show that the neutrino masses are naturally small and a little deviation from the tri-bimaximal neutrino mixing form can be realized. The Dirac CP violation phase [Formula: see text] is predicted to either [Formula: see text] or [Formula: see text] with [Formula: see text].

scholarly journals Radiatively Generated Leptogenesis inS4Flavor Symmetry Models

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
T. Phong Nguyen ◽  
P. V. Dong
Keyword(s):  
Beta Decay ◽  
Neutrino Mass ◽  
High Energy Physics ◽  
Neutrinoless Double Beta Decay ◽  
High Energy ◽  
Energy Scale ◽  
Double Beta Decay ◽  
Low Energy ◽  
Flavor Symmetry ◽  
Neutrino Mixing

We study how leptogenesis can be implemented in the seesaw models withS4flavor symmetry, which lead to the tri-bimaximal neutrino mixing matrix. By considering renormalization group evolution from a high-energy scale of flavor symmetry breaking (the GUT scale is assumed) to the low-energy scale of relevant phenomena, the off-diagonal terms in a combination of Dirac Yukawa-coupling matrix can be generated and the degeneracy of heavy right-handed neutrino Majorana masses can be lifted. As a result, the flavored leptogenesis is successfully realized. We also investigate how the effective light neutrino mass|〈mee〉|associated with neutrinoless double beta decay can be predicted along with the neutrino mass hierarchies by imposing the experimental data on the low-energy observables. We find a link between the leptogenesis and the neutrinoless double beta decay characterized by|〈mee〉|through a high-energy CP phase ϕ, which is correlated with the low-energy Majorana CP phases. It is shown that the predictions of|〈mee〉|for some fixed parameters of the high-energy physics can be constrained by the current observation of baryon asymmetry.

scholarly journals PHENOMENOLOGY OF "BIMAXIMAL + DEMOCRATIC" TYPE NEUTRINO MASS MATRIX

2006 ◽  
Vol 21 (13) ◽  
pp. 1067-1073 ◽  
Author(s):  
AMBAR GHOSAL ◽  
DEBASISH MAJUMDAR
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Atmospheric Neutrino ◽  
Double Beta Decay ◽  
Neutrino Mass Matrix ◽  
Experimental Results ◽  
Neutrino Mixing ◽  
Mixing Angle ◽  
Mixing Angles ◽  
The Masses

We demonstrate that "Bimaximal + Democratic" type neutrino mass matrix can accommodate the deviation of θ⊙ from its maximal value along with the other present-day neutrino experimental results, namely, atmospheric, CHOOZ, neutrinoless double beta decay (ββ0ν) and result obtained from WMAP experiment. We define a function χp in terms of solar and atmospheric neutrino mass squared differences and solar neutrino mixing angle (obtained from different experiments and our proposed texture). The masses and mixing angles are expressed in terms of three parameters in our proposed texture. The allowed region of the texture parameters is obtained through minimization of the above function. The proposed texture crucially depends on the value of the experimental results of ββ0ν experiment among all other above-mentioned experiments. If, in future, ββ0ν experiments, namely, MOON, EXO, GENIUS shift the lower bound on 〈mee〉 at the higher side by one order, the present texture will be ruled out.

scholarly journals Flavor symmetries in an SU(5) model of grand unification

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Malte Lindestam ◽  
Tommy Ohlsson ◽  
Marcus Pernow
Keyword(s):  
Predictive Models ◽  
Grand Unification ◽  
Flavor Symmetry ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Flavor Symmetries ◽  
Free Parameters ◽  
Yukawa Sector

Abstract We investigate the options for imposing flavor symmetries on a minimal renormalizable non-supersymmetric SU(5) grand unified theory, without introducing additional flavor-related fields. Such symmetries reduce the number of free parameters in the model and therefore lead to more predictive models. We consider the Yukawa sector of the Lagrangian, and search for all possible flavor symmetries. As a result, we find 25 distinct realistic flavor symmetry cases, with ℤ2, ℤ3, ℤ4, and U(1) symmetries, and no non-Abelian cases.

GENERALIZED FUKUGITA–TANIMOTO–YANAGIDA NEUTRINO MASS ANSATZ

2007 ◽  
Vol 16 (05) ◽  
pp. 1405-1416 ◽  
Author(s):  
MIDORI OBARA ◽  
ZHI-ZHONG XING
Keyword(s):  
Beta Decay ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Effective Masses ◽  
Majorana Neutrinos ◽  
Mass Degeneracy ◽  
The Masses

We generalize the Fukugita–Tanimoto–Yanagida ansatz by allowing the masses of three heavy right-handed Majorana neutrinos, Mi (i = 1,2,3), to be partially non-degenerate and search for the parameter space which can be consistent with the current neutrino oscillation data, for three non-degenerate mass cases (A) M3 = M2 ≠ M1, (B) M2 = M1 ≠ M3 and (C) M1 = M3 ≠ M2. We also examine the effect of the deviation from the complete mass degeneracy in each case. Finally, we obtain the numerical constraints on three light neutrino masses, three neutrino mixing angles and three CP-violating phases, together with the predictions for the Jarlskog invariant of CP violation and the effective masses of the tritium beta decay and the neutrinoless double-beta decay.

scholarly journals NEUTRINO CP VIOLATING PARAMETERS FROM NONTRIVIAL QUARK–LEPTON CORRELATION: A S3 × GUT MODEL

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4435-4448 ◽  
Author(s):  
MARCO PICARIELLO
Keyword(s):  
Correlation Matrix ◽  
Flavor Symmetry ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Next Generation ◽  
Lepton Sector ◽  
Mixing Angles ◽  
Model Based

We investigate the prediction on the lepton phases in theories with a nontrivial correlation between quark (CKM) and lepton (PMNS) mixing matrices. We show that the actual evidence, under the only assumption that the correlation matrix VM product of CKM and PMNS has a zero in the entry (1, 3), gives us a prediction for the three CP-violating invariants J, S1 and S2. A better determination of the lepton mixing angles will give stronger prediction for the CP-violating invariants in the lepton sector. These will be tested in the next generation experiments. To clarify how our prediction works, we show how a model based on a Grand Unified Theory and the permutation flavor symmetry S3 predicts [Formula: see text].

scholarly journals Simple neutrino mass matrix with only two free parameters

2014 ◽  
Vol 29 (28) ◽  
pp. 1450147 ◽  
Author(s):  
Hiroyuki Nishiura ◽  
Takeshi Fukuyama
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Mass Matrix ◽  
Point Of View ◽  
Lepton Sector ◽  
Mixing Angles ◽  
Free Parameters ◽  
Phenomenological Point

A simple form of neutrino mass matrix which has only two free parameters is proposed from a phenomenological point of view. Using this mass matrix, we succeed to reproduce all the observed values for the Maki–Nakagawa–Sakata (MNS) lepton mixing angles and the neutrino mass squared difference ratio. Our model also predicts δν = 155° for the Dirac CP violating phase in the lepton sector and the effective neutrino mass 〈m 〉 = 6.3×10-3 eV in the neutrinoless double beta decay.

scholarly journals ALTERNATIVES TO THE SEESAW: EXTRA Z'S AND CONSTRAINTS ON LARGE EXTRA DIMENSIONS

2003 ◽  
Vol 18 (22) ◽  
pp. 4015-4026 ◽  
Author(s):  
PAUL LANGACKER
Keyword(s):  
Gauge Symmetry ◽  
Beta Decay ◽  
Extra Dimensions ◽  
Large Extra Dimensions ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Majorana Phases

Alternatives to the traditional grand unified theory seesaw for neutrino masses are briefly described. These include the possibility of large extra dimensions and various possibilities for models involving an extra U(1)′ gauge symmetry. The difficulty of observing Majorana phases in neutrinoless double beta decay is also briefly commented on.

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