Trimaximal mixing with one texture zero of the inverse neutrino mass matrix

Zhao, Zhen-hua; Zhang, Xin; Jiang, Shan-Shan; Yue, C. X.

doi:10.1142/s0217751x20500396

“…The existence of near degeneracy in LMA and DLMA solutions have imperative implications for models of neutrino mass and associated phenomenology. Recently, the LMA and DLMA phenomenology of Majorana neutrino mass matrix has been studied assuming (i) zero textures of the neutrino mass matrix, M ν [7][8][9](ii) in presence of one-sterile neutrino [10]. Texture-zeros in the effective low energy Majorana neutrino mass matrix may have seesaw origin in which they can be realized from the zeros in M D and M R [11].…”

Section: Introductionmentioning

confidence: 99%

Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and DLMA Solutions and Symmetry Realization

Singh¹,

Kashav²,

Verma³

2022

Preprint

View full text Add to dashboard Cite

In this paper, we study the phenomenological consequences of two-zero textures of inverse neutrino mass matrix(M −1 ν ). In M l and MD diagonal basis, zero(s) in heavy right-handed neutrino mass matrix correspond to zero(s) in inverse neutrino mass matrix(M −1 ν ). There are fifteen possibilities to have two-zero textures of M −1 ν . In order to study complete phenomenology of the model, we confront these textures with the latest neutrino data including large mixing angle(LMA) and dark -large mixing angle(DLMA) degenerate solutions, later of which originates if neutrinos exhibit non-standard interactions with matter. Out of fifteen possibilities only seven(B2, B4, C1, C3, D1, D2, E1) are found to be in consonance with LMA and/or DLMA solutions. In general, we find that the textures for which (M −1 ν )11 = 0 are disallowed. The textures B2, B4, C1, C3 and D2 textures are found to be allowed under both LMA and DLMA descriptions. Also, these textures are necessarily CP violating. However, the textures which are not consistent with DLMA paradigm, for example D1 and E1, allow both CP conserving and violating solutions. The generic feature of the class of model discussed in the present work is the existence of neutrino mass hierarchy degeneracy in a particular texture.For example, if a texture is allowed by LMA solution with "X" neutrino mass hierarchy then, if DLMA is allowed, it is allowed with the same hierarchy "X". Interestingly, amongst all the seven texture, textures with (M −1 ν )23 = 0 are found to be either disallowed or are consistent with LMA(D1 and E1) description only. We have, also, obtained the implication of the model for 0νββ decay amplitude |Mee|. Except for textures D1 and E1, the predicted 3σ lower bound on |Mee| is O(10 −2 ) which is within the sensitivity reach of 0νββ decay experiments like SuperNEMO, KamLAND-Zen, NEXT, and nEXO. For example, the non-observation of 0νββ decay down to these high sensitivities will refute all the textures except D1 and E1. Furthermore, we have proposed a flavor model, based on discrete non-Abelian flavor group A4, wherein such textures of M −1 ν can be realized within Type-I seesaw setting.

show abstract

“…The phenomenological implications of inverse neutrino mass textures have been studied in Refs. [42][43][44]. Recently, the authors have investigated all possible two-zero texture inverse neutrino mass matrices (M −1 ν ) in light of large mixing angle(LMA) and dark-large mixing angle(DLMA) solutions of neutrino mixing paradigm [45].…”

Section: Introductionmentioning

confidence: 99%

Gauged $U(1)_{L_μ-L_τ}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)

Singh¹,

Kashav²,

Verma³

2022

Preprint

0

View full text Add to dashboard Cite

In the framework of anomaly free U (1) Lµ−Lτ model, charged scalar fields give rise to massive gauge boson (Z µτ ) through spontaneous symmetry breaking. Z µτ leads to one loop contribution to the muon anomalous magnetic moment. These scalar fields may, also, appear in the structure of right-handed neutrino mass matrix, thus, connecting the possible explanation of muon (g − 2) and low energy neutrino phenomenology through vevs associated with the scalar fields. In the present work, we consider textures of inverse neutrino mass matrix (M −1 ν ) wherein any two elements of the mass matrix are zero. In this ansatz, with Dirac neutrino mass matrix diagonal, the zero(s) of right-handed Majorana neutrino mass matrix correspond to zero(s) in the low energy effective neutrino mass matrix (within Type-I seesaw). We have realized two such textures of M −1 ν accommodating the muon (g−2) and low energy neutrino phenomenology. The requirement of successful explanation of muon (g − 2), further, constrain the allowed parameter space of the model and results in sharp correlations amongst neutrino mixing angles, CP invariants and effective Majorana mass (M ee ). The model explains muon (g − 2) for M Zµτ in the range (0.035 GeV-0.100 GeV) and g µτ ≈ O(10 −4 ) which is found to be consistent with constraints coming from the experiments like CCFR, COHERENT, BABAR, NA62 and NA64.

show abstract

“…The existence of near degeneracy in LMA and LMA-D solutions have imperative implications for models of neutrino mass and associated phenomenology. Recently, the LMA and LMA-D phenomenology of Majorana neutrino mass matrix has been studied assuming (i) zero textures of the neutrino mass matrix, M ν [11][12][13] (ii) in presence of one-sterile neutrino [14]. Texture-zeros in the effective low energy Majorana neutrino mass matrix may have seesaw origin in which they can be realized from the zeros in M D and M R [15].…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [13], the authors have investigated the phenomenological consequences of one-zero texture in M −1 ν with in the context of trimaximal mixing. The LMA phenomenology of two-zero textures of M −1 ν has been investigated in [27].…”

Section: Introductionmentioning

confidence: 99%

Investigating two-zero textures of inverse neutrino mass matrix under the lamp post of LMA and LMA-D solutions and symmetry realization

Singh

¹

,

Kashav

²

,

Verma

³

2022

Eur. Phys. J. C

4

0

View full text Add to dashboard Cite

In this work we have investigated the phenomenological consequences of two-zero textures of inverse neutrino mass matrix ($$M_{\nu }^{-1}$$ M ν - 1 ) in light of the large mixing angle (LMA) and large mixing angle-dark (LMA-D) solutions, later of which originates if neutrinos exhibit non-standard interactions with matter. Out of fifteen possibilities, only seven two-zero textures of $$M_{\nu }^{-1}$$ M ν - 1 are found to be phenomenologically allowed under LMA and/or LMA-D descriptions. In particular, five textures are in consonance with both LMA and LMA-D solutions and are necessarily CP violating while remaining two textures are found to be consistent with LMA solution only. The textures with vanishing (1, 1) element of $$M_{\nu }^{-1}$$ M ν - 1 are, in general, disallowed. All the textures allowed under LMA and LMA-D solutions follow the same neutrino mass hierarchy. Furthermore, textures with vanishing (2, 3) element of $$M_{\nu }^{-1}$$ M ν - 1 are found to be either disallowed or are consistent with LMA description only. We have, also, obtained the implication of the model for $$0\nu \beta \beta $$ 0 ν β β decay amplitude $$|M_{ee}|$$ | M ee | . For most of the textures the calculated $$3\sigma $$ 3 σ lower bound on $$|M_{ee}|$$ | M ee | is $$\mathcal {O}(10^{-2})$$ O ( 10 - 2 ) , which is within the sensitivity reach of $$0\nu \beta \beta $$ 0 ν β β decay experiments. We have, also, proposed a flavor model based on discrete non-Abelian flavor group $$A_4$$ A 4 wherein such textures of $$M_{\nu }^{-1}$$ M ν - 1 can be realized within Type-I seesaw setting.

show abstract

Trimaximal mixing with one texture zero of the inverse neutrino mass matrix

Cited by 11 publications

References 56 publications

Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and DLMA Solutions and Symmetry Realization

Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and DLMA Solutions and Symmetry Realization

Gauged $U(1)_{L_μ-L_τ}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)

Investigating two-zero textures of inverse neutrino mass matrix under the lamp post of LMA and LMA-D solutions and symmetry realization

Contact Info

Product

Resources

About