Simplified textures of the seesaw model for trimaximal neutrino mixing

Zhao, Zhen-hua; Zhao, Xinyu; Bao, Hui-Chao

doi:10.1103/physrevd.105.035011

Cited by 5 publications

(3 citation statements)

References 97 publications

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“…Such texture zeros not only cause the number of free parameters of neutrino mass matrix to be reduced, but also assists in establishing important relations between mixing angles. Recently, by employing the zero texture introduced in [52] as well as the texture proposed in [53], several parameters have been extracted as well as computed within a novel phenomenological approach to neutrino physics.…”

Section: Introductionmentioning

confidence: 99%

Two-Zero Textures Based on A4 Symmetry and Unimodular Mixing Matrix

et al. 2022

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We propose a phenomenological model of two-zeros Majorana neutrino mass matrix based on the A4 symmetry, where the structure of mixing matrix is a unimodular second scheme of trimaximal TM2, and the charged lepton mass matrix is diagonal. We show that, among seven possible two-zero textures with A4 symmetry, only two textures, namely the texture with Mee=0 and Meμ=0 and its permutation, are acceptable in the non-perturbation method, since the results associated with these two textures are consistent with the experimental data. We obtain a unique relation between our phases, namely ρ+σ=ϕ±π, and an effective equation sin2θ13=23Rν where Rν=δm2Δm2. Then, only by using the experimental ranges of Rν, we obtain the allowable range of the unknown parameter ϕ as the phase of TM2 mixing matrix, which leads to obtaining not only the ranges of all neutrino oscillation parameters of the model (which agree well with experimental data) but also with the masses of neutrinos, the Dirac and Majorana phases and the Jarlskog parameter, and to predict the normal neutrino mass hierarchy. Finally, we show that all the predictions regarding our two specific textures agree with the corresponding data reported from neutrino oscillation, cosmic microwave background and neutrinoless double beta decay.

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Section: Introductionmentioning

confidence: 99%

Two-Zero Textures Based on A4 Symmetry and Unimodular Mixing Matrix

et al. 2022

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“…In light of observation of non-zero θ 13 [6][7][8][9][10] several extensions of TBM ansatz have been proposed to accommodate observed pattern of neutrino mixing . One such possibility is the "trimaximal mixing (TM)" pattern of neutrino mixing matrix [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53] wherein if the second (first) eigenvector remains the same while the first (second) and third (third) columns deviate from their TBM values it is called TM 2 (TM 1 ) mixing, viz.,…”

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confidence: 99%

Trimaximal mixing and extended magic symmetry in a model of neutrino mass matrix

Singh,

Tapender,

Kashav

et al. 2023

EPL

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The trimaximal mixing scheme (TM$_2$) results in \textit{``magic"} neutrino mass matrix ($M_\nu$) which is known to accommodate neutrino oscillation data. In this paper, we propose a phenomenological ansatz for $M_\nu$ by extending the magic symmetry that leads to further reduction in the number of free parameters, thereby, increasing the predictability of the model. The neutrino mixing parameters, effective Majorana mass $m_{ee}$ and $CP$ invariants ($J_{CP}, I_1,I_2$) are found to exhibit strong correlations for TM$_2$ mixing paradigm. One of the generic feature of the model is the requirement of non-maximal $\theta_{23}$ for possible $CP$ violation measurable in neutrino oscillation experiments. The observables $m_{ee}$ and sum of neutrino masses ($\sum m_i$) have imperative implications for yet unknown neutrino mass hierarchy. For inverted hierarchy, the lower bound on $m_{ee}>0.02$ eV, predicted by the model, is found to be within the sensitivity reach of the $0\nu\beta\beta$ decay experiments. Also, cosmological bound of $0.12$ eV on $\sum m_i$, at 95\% CL, refutes inverted hierarchy implying TM$_2$ with normal hierarchy as the only viable possibility in the model. We have, also, illustrated a scenario wherein such a construction of the neutrino mass matrix can be realized using $\Delta(54)$ symmetry in the framework of Type-I+II seesaw mechanism.

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“…In light of observation of non-zero θ 13 [6][7][8][9][10] several extensions of TBM ansatz have been proposed to accommodate observed pattern of neutrino mixing . One such possibility is "Trimaximal mixing (TM)" pattern of neutrino mixing matrix [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55] wherein if the second (first) eigenvector remains same while first (second) and third (third) columns deviate from their TBM values it is called TM 2 (TM 1 ) mixing viz.,…”

mentioning

confidence: 99%

Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix

Kashav¹,

Singh²,

Verma³

2022

Preprint

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The trimaximal mixing schemes (TM 1 /TM 2 ) result in "magic" neutrino mass matrix (M ν ) which is known to accommodate neutrino oscillation data. In this paper, we propose a phenomenological ansatz for M ν by extending the magic symmetry that leads to further reduction in the number of free parameters, thereby, increasing the predictability of the model. The neutrino mixing parameters, effective Majorana mass m ee and CP invariants (J CP , I 1 , I 2 ) are found to exhibit strong correlations for both TM 1 and TM 2 mixing paradigms. One of the generic feature of the model is the requirement of non-maximal θ 23 for possible CP violation measurable in neutrino oscillation experiments. The inverted hierarchy in TM 1 mixing scheme is disallowed by the low energy neutrino phenomenology. The observables m ee and sum of neutrino masses ( m i ) have imperative implications for yet unknown neutrino mass hierarchy. The lower bounds on m ee predicted by the model, especially, in TM 2 (with inverted hierarchy) and TM 1 (with normal hierarchy) mixing schemes, are found to be well with in the sensitivity reach of the 0νββ decay experiments. However, cosmological bound of 0.12 eV on m i , at 95% CL, refutes inverted and normal hierarchy in TM 2 and TM 1 mixing scenarios, respectively, implying TM 2 with normal hierarchy as the only viable possibility in the model. We have, also, illustrated a scenario wherein such a construction of the neutrino mass matrix can be realized using ∆(54) symmetry in the framework of Type-I+II seesaw mechanism.

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Simplified textures of the seesaw model for trimaximal neutrino mixing

Cited by 5 publications

References 97 publications

Two-Zero Textures Based on A4 Symmetry and Unimodular Mixing Matrix

Two-Zero Textures Based on A4 Symmetry and Unimodular Mixing Matrix

Trimaximal mixing and extended magic symmetry in a model of neutrino mass matrix

Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix

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