Implications of $A_4$ modular symmetry on Neutrino mass, Mixing and Leptogenesis with Linear Seesaw

Behera, Mitesh Kumar; Mishra, Subhasmita; Singirala, Shivaramakrishna; Mohanta, Rukmani

doi:10.48550/arxiv.2007.00545

Cited by 19 publications

(23 citation statements)

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“…Therefore, the flavon field is not necessary for the whole theory. Apart from the finite modular groups mentioned above, some other aspects of modular symmetries have also been investigated, such as the combination of modular symmetries and the CP symmetry [37][38][39], multiple modular symmetries [40,41], the double covering of modular groups [42][43][44], the A 4 symmetry from the modular S 4 symmetry [45,46], the modular residual symmetry [47,48], the unification of quark and lepton flavors with modular invariance [49,50], the realization of texture zeros via the modular symmetry [51,52], the applications of modular symmetries on other types of seesaw models [53][54][55][56][57], the origin of modular symmetries from a top-down point of view [58][59][60][61][62][63] and finite modular groups with higher levels [64]. In addition, corrections from the Kähler potential to the model with a modular symmetry are discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Dirac neutrino mass models with a modular $S^{}_4$ symmetry

Wang

2020

Preprint

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In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular S 4 symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the weight of the right-handed neutrino superfields. We systematically study the scenarios where modular forms in the neutrino sector take the lowest non-trivial weight two, while those in the charged-lepton sector vary from two to six. The corrections from renormalization-group running effects to our model have also been discussed in detail. We totally obtain twelve different classes of models and find that ten of them can accommodate current neutrino oscillation data.

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Section: Introductionmentioning

confidence: 99%

Dirac neutrino mass models with a modular $S^{}_4$ symmetry

Wang

2020

Preprint

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“…Thus the CP violation in leptogenesis is naturally related to the CP violation phases δ l CP , α 21 and α 31 in the lepton mixing matrix. Early studies of leptogenesis in the context of modular symmetry models without gCP symmetry can be found [20,39,89]. During the final preparations of this paper, a preprint discussing leptogenesis in a A 4 modular model with gCP appeared on the arXiv [90].…”

Section: Leptogenesismentioning

confidence: 99%

Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP

Qu,

Liu,

Chen

et al. 2021

Preprint

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We have performed a systematical analysis of lepton and quark masses models based on Γ 4 ∼ = S 4 modular symmetry with gCP symmetry. We have considered both cases that neutrinos are Majorana particles and Dirac particles. All possible nontrivial representation assignments of matter fields are considered, and the most general form of fermion mass matrices are given. The phenomenologically viable models with the lowest number of free parameters together with the results of fit are presented. We find out nine lepton models with seven real free parameters including the real and imaginary parts of modulus for Majorana neutrinos, which can accommodate the lepton masses and neutrino oscillation data. The prediction for leptogenesis is studied in an example lepton model. The observed baryon asymmetry as well as lepton masses and mixing angles can be explained. For Dirac neutrinos, four lepton models with five real free couplings are compatible with experimental data. Ten quark models containing seven couplings are found to be able to accommodate the hierarchical quark masses and mixing angles and CP violation phase. Furthermore, the S 4 modular symmetry can provide a unified description of lepton and quark flavor structure, and a benchmark model is presented.

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“…To prove the existence of such massive neutrino is impractical for current experiments, hence, its usage is very regular as seen in myriad literatures. On the other hand, additional variants of seesaw are type-II [7][8][9][10] seesaw with scalar triplets, type-III [11][12][13][14] seesaw with fermion triplets, linear seesaw [15][16][17][18][19], inverse seesaw [20][21][22][23][24][25][26][27][28][29][30][31] etc. Here, we explore the case of inverse seesaw using the extended symmetries, where we involve three right handed neutrinos N iR and three neutral fermions S iL (i = 1, 2, 3).…”

Section: Introductionmentioning

confidence: 99%

Neutrino phenomenology, muon and electron (g-2) under $U(1)$ gauged symmetries in an extended inverse seesaw model

Panda¹,

Mishra²,

Behera³

et al. 2022

Preprint

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The proposed work is an extension of the Standard Model, where we have introduced two anomaly free gauge symmetries i.e. U (1) B−L and U (1) Le−Lµ in an inverse seesaw framework. For this purpose, we have included three right handed neutrinos N iR , three neutral fermions S iL (i = 1, 2, 3) and two scalar singlet bosons (χ 1 , χ 2 ). We get a definite structure for neutrino mass matrix due to the aforementioned gauge symmetries. Thus, our model is able to predict the neutrino oscillation results which are in accordance with the experimental data and mostly supports normal ordering. The outcome comprises of active neutrino mass, mixing angles, mass square differences, CP violating phase etc. We also discuss neutrinoless double beta decay effective mass parameter m ee which gives a strong evidence on the Majorana nature of neutrinos. Its predicted value is found to be well below the current experimental bounds of KamLAND-Zen, CUORE etc. Furthermore, as the extended gauge symmetries are local, hence, are associated with the corresponding gauge bosons i.e. (Z 1 , Z 2 ), which make our model feasible to explain current results of electron and muon (g − 2) through neutral current interactions.

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Implications of $A_4$ modular symmetry on Neutrino mass, Mixing and Leptogenesis with Linear Seesaw

Cited by 19 publications

References 0 publications

Dirac neutrino mass models with a modular $S^{}_4$ symmetry

Dirac neutrino mass models with a modular $S^{}_4$ symmetry

Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP

Neutrino phenomenology, muon and electron (g-2) under $U(1)$ gauged symmetries in an extended inverse seesaw model

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