Inverse seesaw in 
	    
	    A5′
	    
	   modular symmetry

Behera, Mitesh Kumar; Mohanta, Rukmani

doi:10.1088/1361-6471/ac4d7a

Cited by 20 publications

(7 citation statements)

References 79 publications

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“…U T , where U is a 3 × 3 unitary matrix and m diag = diag(m 1 , m 2 , m 3 ). The mixing angles can be obtained from the elements of unitary matrix U in the following way [57]:…”

Section: Numerical Analysis and Resultsmentioning

confidence: 99%

Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry

Gogoi¹,

Gautam²,

Das³

2022

Preprint

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In this paper, we construct a model with the help of modular symmetry in the framework of minimal inverse seesaw [ISS(2,3)]. We have used Γ(3) modular group which is isomorphic to non-Abelian discrete symmetry group A 4 . In this group there are three Yukawa modular forms of weight 2. Through this model, we study neutrino masses and mixing for both normal and inverted hierarchy. Use of modular symmetry reduces the need for extra flavons and their specific VEV alignments, as such, minimality of the model is maintained to a great extent. Along with A 4 symmetry group, we have used Z 3 to restrict certain interaction terms in the Lagrangian. Further we calculate the effective mass to address the phenomena of neutrinoless double-beta decay (0νββ).The values of effective mass is found to lie within the bound (m ef f < 0.165 eV) as predicted by different 0νββ experiments.

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“…U T , where U is a 3 × 3 unitary matrix and m diag = diag(m 1 , m 2 , m 3 ). The mixing angles can be obtained from the elements of unitary matrix U in the following way [57]:…”

Section: Numerical Analysis and Resultsmentioning

confidence: 99%

Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry

Gogoi¹,

Gautam²,

Das³

2022

Preprint

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“…When this modulus acquires the vacuum expectation value (VEV), it breaks the flavor symmetry. There exist plentiful works in the literature based on modular groups S 3 [36,37], S 4 [38][39][40][41], A 4 , A 5 [63,64], double covering of A 4 [65][66][67][68], S 4 [69,70] and A 5 [71][72][73]. These modular groups are quite successful in accommodating the observed neutrino oscillation parameters.…”

Section: Introductionmentioning

confidence: 99%

Exploring models with modular symmetry in neutrino oscillation experiments

Mishra,

Behera,

Panda

et al. 2023

J. High Energ. Phys.

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Our study aims to investigate the viability of neutrino mass models that arise from discrete non-Abelian modular symmetry groups, i.e., ΓN with (N = 1, 2, 3, . . . ) in the future neutrino experiments T2HK, DUNE, and JUNO. Modular symmetry reduces the usage of flavon fields compared to the conventional discrete flavor symmetry models. Theories based on modular symmetries predict the values of leptonic mixing parameters, and therefore, these models can be tested in future neutrino experiments. In this study, we consider three models based on the A4 modular symmetry, i.e., Model-A, B, and C such a way that they predict different values of the oscillation parameters but still allowed with respect to the current data. In the future, it is expected that T2HK, DUNE, and JUNO will measure the neutrino oscillation parameters very precisely, and therefore, some of these models can be excluded in the future by these experiments. We have estimated the prediction of these models numerically and then used them as input to scrutinize these models in the neutrino experiments. Assuming the future best-fit values of θ23 and δCP remain the same as the current one, our results show that at 5σ C.L, Model-A can be excluded by T2HK whereas Model-B can be excluded by both T2HK and DUNE. Model-C cannot be excluded by T2HK and DUNE at 5σ C.L. Further; our results show that JUNO alone can exclude Model-B at an extremely high confidence level if the future best-fit of θ12 remains at the current-one. We have also identified the region in the θ23 - δCP parameter space, for which Model-A cannot be separated from Model-B in T2HK and DUNE.

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“…S 4 [69][70][71][72][73][74][75], Γ 5 A 5 [76][77][78], Γ 5 A 5 [79][80][81][82] etc. We make an attempt to use A 4 modular symmetry which is isomorphic to Γ 3 .…”

Section: Introductionmentioning

confidence: 99%

Type III seesaw under $A_4$ modular symmetry with leptogenesis and muon $g-2$

Mishra¹,

Behera²,

Panda³

et al. 2022

Preprint

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We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering A 4 modular symmetry in the super-symmetric context. In addition, we have included local U (1) B−L symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III, it involves the fermion triplet superfields Σ, along with which, we have included a singlet weighton field (ρ). In here, modular symmetry plays a crucial role by avoiding the usage of excess flavon (weighton) fields. Also, the Yukawa couplings acquire modular forms which are expressed in terms of Dedekind eta function η(τ ). However, for numerical analysis we use q expansion expressions of these couplings. Therefore, the model discussed here is triumphant enough to accommodate the observed neutrino oscillation data. Additionally, it also successfully explains leptogenesis and sheds some light on the current results of muon (g − 2).

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Inverse seesaw in A5′ modular symmetry

Cited by 20 publications

References 79 publications

Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry

Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry

Exploring models with modular symmetry in neutrino oscillation experiments

Type III seesaw under $A_4$ modular symmetry with leptogenesis and muon $g-2$

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