Constraining a type I seesaw model with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>flavor symmetry from neutrino data and leptogenesis

Kalita, Rupam; Borah, Debasish

doi:10.1103/physrevd.92.055012

Cited by 20 publications

(11 citation statements)

References 101 publications

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“…We also classify different possible textures of the 4 × 4 neutrino mass matrix based on generic A 4 vacuum alignments for triplet flavons. Similar but not texture specific work in three neutrino cases to constrain different A 4 vacuum alignments from three neutrino data was done by the authors of [57] which was further constrained from successful leptogenesis in [58]. Here we extend such studies to the 3 + 1 neutrino cases.…”

Section: Introductionmentioning

confidence: 62%

Compatibility of $$A_{4}$$ A 4 flavour symmetric minimal extended seesaw with $$(3+1)$$ ( 3

2019

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Motivated by the recent resurrection of the evidence for an eV scale sterile neutrino from the MiniBooNE experiment, we revisit one of the most minimal seesaw model known as the minimal extended seesaw that gives rise to a 3+1 light neutrino mass matrix. We consider the presence of A 4 flavour symmetry which plays a non-trivial role in generating the structure of the neutrino mass matrix. Considering a diagonal charged lepton mass matrix and generic vacuum alignments of A 4 triplet flavons, we classify the resulting mass matrices based on their textures. Keeping aside the disallowed texture zeros based on earlier studies of 3 + 1 neutrino textures, we categorise the remaining ones based on texture zeros, μ-τ symmetry in the 3 × 3 block and hybrid textures. After pointing out the origin of such 3 + 1 neutrino textures to A 4 vacuum alignments, we use the latest 3 + 1 neutrino oscillation data and numerically analyse the texture zeros and μ-τ symmetric cases. We find that a few of them are allowed from each category predicting interesting correlations between neutrino parameters. We also find that all of these allowed cases prefer normal hierarchical pattern of light neutrino masses over inverted hierarchy. Hybrid texture caseAll 296 hybrid textures can be classified into following categories depending upon constraints satisfied by them.(i) 12 matrices with 6 complex constraints:ii) 6 matrices with 6 complex constraints:iii) 6 matrices with 6 complex constraints:(v) 8 matrices with 4 complex constraints:vi) 8 matrices with 3 complex constraints:vii) 8 matrices with 4 complex constraints:(viii) 8 matrices with 3 complex constraints: M μμ = M μτ , M eμ = M μτ , M eτ = M τ τ (ix) 8 matrices with 3 complex constraints: M eμ = M μτ , M eμ = −M μμ , M eτ = M τ τ (x) 8 matrices with 3 complex constraints: M eμ = M μμ , M eμ = −M μτ , M eμ + M eτ = M μτ + M τ τ (xi) 8 matrices with 3 complex constraints: M μμ = M μτ , M eμ = −M μμ , M eτ + M μμ = M eμ + M τ τ (xii) 7 matrices with 2 complex constraints: M eμ = M μμ , M eμ = M μτ (xiii) 8 matrices with 3 complex constraints: M μμ − M eτ = M μτ + M τ τ , M μμ = −M μτ , M eμ = M μτ (xiv) 8 matrices with 3 complex constraints: M eμ = M μμ , M eμ = −M μτ , M eτ = −M τ τ (xv) 8 matrices with 3 complex constraints: M μμ = M μτ , M eμ = −M μμ , M τ τ = −M eτ (xvi) 8 matrices with 3 complex constraints: M eμ = M eτ , M eτ = M μτ , M eτ = M τ τ (xvii) 8 matrices with 3 complex constraints: M eμ = M μτ , M eτ = M τ τ , M eμ = −M eτ (xviii) 8 matrices with 4 complex constraints: M eμ = −M eτ , M eμ = −M μτ , M μτ = −M τ τ , M eμ = M τ τ (xix) 8 matrices with 3 complex constraints: M eμ = M eτ , M μτ = M τ τ , M eμ = −M μτ (xx) 16 matrices with 3 complex constraints: M eμ = −M eτ , M μμ = M τ τ , 2M eμ + M μμ − M μτ = 0 M eμ = −M eτ , M μμ = M τ τ , M μs = −M τ s , M μτ = −M τ τ (xxii) 8 matrices with 4 complex constraints: M eμ = −M μμ , M eτ = M μτ , M eτ = M τ τ , M eμ − M μμ + M eτ + M μτ − 2M τ τ = 0 (xxiii) 8 matrices with 3 complex constraints: M eτ = M τ τ , M eτ = −M μτ , M eμ...

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Section: Introductionmentioning

confidence: 62%

Compatibility of $$A_{4}$$ A 4 flavour symmetric minimal extended seesaw with $$(3+1)$$ ( 3

2019

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“…After comparing the equations ( 3), ( 13), (21) with equation ( 4 For our numerical analysis we consider 27 cases of VEV alignments for all the three neutrino models which is shown in Table (IX). Our computational analysis is similar to the works [12], [10] and [11]. We have done computation for the three seesaw models, for tolerance ≤ 10 −5 using the values of the known light neutrino oscillation parameters taken from their latest global fit value for 3σ range, as shown in Table (I).…”

Section: Numerical Methods and Resultsmentioning

confidence: 99%

“…In order to overcome this problem, we next consider neutrino mass models with low scale (TeV) seesaw mechanisms, viz., (i) inverse seesaw and (ii) linear seesaw models. If the (11) and ( 13) elements of the light neutrino mass matrix are zero, then it is called inverse seesaw, and if (11) and (33) elements are zero, then it is called the linear seesaw model. The active light neutrino mass in both of these models is found to be independent of the ratio m D /M , and hence the heavy neutrinos can be in TeV range.…”

Section: B Model B: the Iss Model Withmentioning

confidence: 99%

A comparative study of type-II, inverse and linear seesaw mechanisms with $ A_{4} $ flavour symmetry

Devi¹,

Bora²

2021

Preprint

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In this work, we present a comparative study of the three of the seesaw models, viz., type II, inverse and linear seesaw models, to investigate about light neutrino masses and mixings, flavour structure, neutrinoless double beta decay (0νββ) and charged lepton flavour violation (cLFV) decay (µ → eγ). We consider the A 4 flavour symmetry, while some other symmetries, like U (1) X , Z 4 and Z 5 are also included to forbid unwanted terms in the Lagrangian. Taking into account the present experimental data for the known light neutrino parameters from recent global fit data, we compute the currently unknown neutrino parameters such as the lightest neutrino mass (m 1 ), CPV phase (Dirac and Majorana), and effective light neutrino mass in the neutrinoless double beta decay, by considering different VEV alignments of the triplet scalar flavon fields. We also elucidate on the octant of atmospheric neutrino mixing angle, θ 23 , in the light of our predicted results.Finally, we present the region of parameter spaces of m 1 , CPV phases, octant of θ 23 and effective mass measurable in of neutrino less double beta decay experiments, that can be tested in future experiments. We observe that the branching ratio of (µ → eγ) can help discriminate the three seesaw models. Further, the favoured Octant of the atmospheric mixing angle θ 23 changes with the VEV alignment of the triplet flavon field -i.e., the internal flavour structure of the neutrinos is reflected in their composition (mixing). We also find some interesting results in context of mass hierarchy-Octant degeneracy with reference to VEV of the triplet flavon field. The constant F determining the scale of flavour symmetry breaking, seesaw scale and coupling constants of the three seesaw models has also been computed, which puts a constraint among them allowed by the present experimental results. Interesting implications on dependence of scale of flavour symmetry breaking in the three seesaw models is also presented in discussion.

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“…Non-Abelian discrete flavor symmetries have wide applications in particle physics as these are important tools for controlling the flavor structures of the model [60,61]. Discrete symmetries like A N ,S N ,Z N are widely used in the context of model building in particle physics [62][63][64][65][66][67]. In the present work, the symmetry realization of the structure of the mass matrices has been carried out using the discrete flavor symmetry S 4 , which is a group of permutation of four objects, isomorphic to the symmetry group of a cube.…”

Section: Description Of the Modelmentioning

confidence: 99%

Phenomenology of keV scale sterile neutrino dark matter with S4 flavor symmetry

Gautam

Das

2020

J. High Energ. Phys.

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We study the possibility of simultaneously addressing neutrino phenomenology and the dark matter in the framework of inverse seesaw. The model is the extension of the standard model by the addition of two right handed neutrinos and three sterile fermions which leads to a light sterile state with the mass in the keV range along with three light active neutrino states. The lightest sterile neutrino can account for a feasible dark matter(DM) candidate. We present a S 4 flavor symmetric model which is further augmented by Z 4 × Z 3 symmetry to constrain the Yukawa Lagrangian. The structures of the mass matrices involved in inverse seesaw within the S 4 framework naturally give rise to correct neutrino mass matrix with non-zero reactor mixing angle θ 13 . In this framework, we conduct a detailed numerical analysis both for normal hierarchy as well as inverted hierarchy to obtain dark matter mass and DM-active mixing which are the key factors for considering sterile neutrino as a viable dark matter candidate. We constrain the parameter space of the model from the latest cosmological bounds on the mass of the dark matter and DM-active mixing.

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Constraining a type I seesaw model withA4flavor symmetry from neutrino data and leptogenesis

Cited by 20 publications

References 101 publications

Compatibility of $$A_{4}$$ A 4 flavour symmetric minimal extended seesaw with $$(3+1)$$ ( 3

Compatibility of $$A_{4}$$ A 4 flavour symmetric minimal extended seesaw with $$(3+1)$$ ( 3

A comparative study of type-II, inverse and linear seesaw mechanisms with $ A_{4} $ flavour symmetry

Phenomenology of keV scale sterile neutrino dark matter with S4 flavor symmetry

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