Trimaximal mixing with one texture zero from type II seesaw and $Δ(54)$ family symmetry

Loualidi, M. A.

doi:10.48550/arxiv.2104.13734

Cited by 3 publications

(4 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Tri-bimaximal (TBM) [33,34],Trimaximal (TM1/TM2) [35][36][37], Quasi-degenerate neutrino mass models [38] and Bi-large mixing patterns [39][40][41] are examples of phenomenological neutrino mixing patterns. And also various models based on non-abelian discrete flavor symmetries [42] like A 4 [43][44][45], S 3 [46], S 4 [47][48][49], ∆ 27 [50][51][52], ∆ 54 [53,54] [64] adding extra flavons.…”

Section: Introductionmentioning

confidence: 99%

Non-zero $θ_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_2^\prime$ Flavor Symmetry Model

Barman¹,

Francis²,

Thapa³

et al. 2022

Preprint

View full text Add to dashboard Cite

We study the modification of the Altarelli-Feruglio A 4 flavor symmetry model by adding three singlet flavons ξ , ξ and ρ and the model is augmented with extra Z 2 × Z 2 symmetry to prevent the unwanted terms in our study. The addition of these three flavons lead to two higher order corrections in the form of two perturbation parameters and . These corrections yield the deviation from exact tri-bimaximal (TBM) neutrino mixing pattern by producing a non-zero θ 13 and other neutrino oscillation parameters which are consistent with the latest experimental data.In both the corrections, the neutrino masses are generated via Weinberg operator. The analysis of the perturbation parameters and , shows that normal hierarchy (NH) and inverted hierarchy (IH) for does not change much. However, as the values of increases, θ 23 occupies the lower octant for NH case. We further investigate the neutrinoless double beta decay parmeter m ββ using the parameter space of the model for both normal and inverted hierarchies of neutrino masses.

show abstract

Section: Introductionmentioning

confidence: 99%

Non-zero $θ_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_2^\prime$ Flavor Symmetry Model

Barman¹,

Francis²,

Thapa³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…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.,…”

mentioning

confidence: 99%

“…Δ( 54) symmetry has been employed to obtain the Yukawa terms relevant for neutrino mass generation through the magic neutrino mass matrix. Δ( 54) is a non-Abelian discrete symmetry having ten irreducible representations, viz., two singlets (1 1 , 1 2 ), four doublets (2 1 , 2 2 , 2 3 , 2 4 ) and four triplets (3 1(1) , 3 1(2) , 3 2(1) , 3 2(2) ) [41,66]. The tensor products of these irreducible representations, used to write invariant Lagrangian in our setting, can be found in ref.…”

mentioning

confidence: 99%

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

Singh,

Tapender,

Kashav

et al. 2023

EPL

View full text Add to dashboard Cite

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.

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

Trimaximal mixing with one texture zero from type II seesaw and $Δ(54)$ family symmetry

Cited by 3 publications

References 14 publications

Non-zero $θ_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_2^\prime$ Flavor Symmetry Model

Non-zero $θ_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_2^\prime$ Flavor Symmetry Model

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

Contact Info

Product

Resources

About