Non-zero θ 13 and δ CP in a neutrino mass model with A4 symmetry

Dev, Abhish; Ramadevi, P.; Sankar, S. Uma

doi:10.1007/jhep11(2015)034

Cited by 8 publications

(8 citation statements)

References 47 publications

(65 reference statements)

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“…Here again, radiative corrections or other explicit A 4 breaking terms can lead to a phenomenologically viable form of the PMNS matrix with non-zero θ 13 and δ C P . For example, in ref [11], A 4 symmetry was softly broken by unequal Majorana masses for ν i R . A simple adjustment of these masses leads to the correct value of θ 13 and maximal CP violation.…”

Section: Yukawa Lagrangian and Charged Fermions In Mass Eigenbasismentioning

confidence: 99%

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Signatures of $$A_4$$ symmetry in the charged lepton flavour violating decays in a neutrino mass model

Korrapati

More²,

Rahaman

et al. 2021

Eur. Phys. J. C

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We study the charged lepton flavour violation in a popular neutrino mass model with $$A_4$$ A 4 discrete symmetry. This symmetry requires the presence of multiple Higgs doublets in the model and it also dictates the flavour violating Yukawa couplings of the additional neutral scalars of the model. Such couplings lead to the decays of the neutral mesons, the top quark and the $$\tau $$ τ lepton into charged leptons of different flavours at tree level. The $$A_4$$ A 4 symmetry of the model leads to certain characteristic signatures in these decays. We discuss these signatures and predict the rates for the most favourable charged lepton flavour violating modes.

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Section: Yukawa Lagrangian and Charged Fermions In Mass Eigenbasismentioning

confidence: 99%

“…In Ref. [11], it was shown that the introduction of a small perturbation in the Majorana mass matrix of the heavy right-chiral neutrinos in this model, can lead to both a realistic value of sin 2 θ 13 ≈ 0.02 and maximal CP violation.…”

Section: Introductionmentioning

confidence: 99%

Signatures of $$A_4$$ symmetry in the charged lepton flavour violating decays in a neutrino mass model

Korrapati

More²,

Rahaman

et al. 2021

Eur. Phys. J. C

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“…1 and 2). The physical reason may be caused by the Majorana-Dirac confusion theorem [3] because the neutrino masses are not important factor for the neutrino oscillations in these cases. Such an oscillating behavior of Poincaré radius demonstrates that the CP violation enhances the neutrino oscillations just like the matter potential.…”

Section: )mentioning

confidence: 99%

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

Pan

2017

Nuclear Physics B

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We propose a new approach to explore CPT violation of neutrino oscillations through a fluctuating matter based on time-dependent geometric quantities. By mapping the neutrino oscillations onto a Poincaré sphere structure, we obtain an analytic solution of master equation and further define the geometric quantities, i.e., radius of Poincaré sphere and geometric phase. We find that the mixing process between electron and muon neutrinos can be described by the radius of Poincaré sphere that depends on the intrinsic CP-violating angle. Such a radius reveals a dynamic mechanism of CPTviolation, i.e., both spontaneous symmetry breaking and Majorana-Dirac neutrino confusion. We show that the time-dependent geometric phase can be used to find the neutrino nature and observe the CPT-violation because it is strongly enhanced under the neutrino propagation. We further show that the time-dependent geometric phase can be easily detected by simulating the neutrino oscillation based on fluctuating magnetic fields in nuclear magnetic resonance, which makes the experimental observation of CPT-violation possible in the neutrino mixing and oscillations. PACS numbers: 14.60.Pq,03.65.Vf, 03.65.Yz I. INTRODUCE Neutrino mixing and oscillations are important to investigate new physics beyond the Standard Model of elementary particle physics, and also involve in hot issues on both astro-particle physics and cosmology [1-3]. Experimentally and theoretically, a set of important and fundamental problems, such as the neutrino mass, the nature of the Dirac vs Majorana neutrino or Majorana-Dirac confusion theorem [4], and the validity of CPT symmetry, has been under the debate [5][6][7][8][9]. The interference of the neutrino oscillations [10,11] can be used to test the CPT symmetry and the neutrino nature based effectively on the geometric phase, which provides an unconventional approach to probe CPT-violation beside the neutron electric dipole moment [12].The evolution of neutrinos involved the weak interactions leads to the CP-violation in a given flavor space, where the extrinsic CP-violating phases can mimic the characteristics of intrinsic CP-violating phases in the leptonic mixing matrix [13,[13][14][15][16].The neutrino oscillations observed so far can be explained in terms of three flavor space, i.e., active electron neutrino ν e , muon neutrino ν µ and τ neutrino ν τ , where the extrinsic CP violation is disentangled from the intrinsic one by the CP-violating observable [17]. An alternative method to treat neutrino oscillations has attracted extensive interests * zishengwang@yahoo.com † huipan@umac.mo

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“…Hence the texture I with two degenerate and one massless neutrino can follow in any ∆(12k 2 ). The smallest such group is ∆(12) = A 4 which is one of the most studied flavour symmetry from other points of view [43][44][45][46][47][48][49][50][51][52].…”

Section: Jhep11(2015)186mentioning

confidence: 99%

“…We now present an explicit realization of flavour antisymmetric neutrino mass matrix using A 4 as an example. A 4 has been extensively used for several different purposes, for obtaining degenerate neutrinos [43,44], to realize tri-bimaximal mixing [45,48] for obtaining maximal CP phase δ [46,47,49,51,52] or to obtain texture zeros [50] in the leptonic mass matrices. As we discuss here, it also provides a viable alternative to get a massless and two quasi degenerate neutrinos with correct mixing pattern.…”

Section: Jhep11(2015)186mentioning

confidence: 99%

Neutrino masses and mixing from flavour antisymmetry

Joshipura¹

2015

J. High Energ. Phys.

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We discuss consequences of assuming (i) that the (Majorana) neutrino mass matrix M ν displays flavour antisymmetry, S T ν M ν S ν = −M ν with respect to some discrete symmetry S ν contained in SU(3) and (ii) S ν together with a symmetry T l of the Hermitian combination M l M † l of the charged lepton mass matrix forms a finite discrete subgroup G f of SU(3) whose breaking generates these symmetries. Assumption (i) leads to at least one massless neutrino and allows only four textures for the neutrino mass matrix in a basis with a diagonal S ν if it is assumed that the other two neutrinos are massive. Two of these textures contain a degenerate pair of neutrinos. Assumption (ii) can be used to determine the neutrino mixing patterns. We work out these patterns for two major group series ∆(3N 2 ) and ∆(6N 2 ) as G f . It is found that all ∆(6N 2 ) and ∆(3N 2 ) groups with even N contain some elements which can provide appropriate S ν . Mixing patterns can be determined analytically for these groups and it is found that only one of the four allowed neutrino mass textures is consistent with the observed values of the mixing angles θ 13 and θ 23 . This texture corresponds to one massless and a degenerate pair of neutrinos which can provide the solar pair in the presence of some perturbations. The well-known groups A 4 and S 4 provide examples of the groups in respective series allowing correct θ 13 and θ 23 . An explicit example based on A 4 and displaying a massless and two quasi degenerate neutrinos is discussed.

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Non-zero θ 13 and δ CP in a neutrino mass model with A4 symmetry

Cited by 8 publications

References 47 publications

Signatures of $$A_4$$ symmetry in the charged lepton flavour violating decays in a neutrino mass model

Signatures of $$A_4$$ symmetry in the charged lepton flavour violating decays in a neutrino mass model

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

Neutrino masses and mixing from flavour antisymmetry

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