Confronting predictive texture zeros in lepton mass matrices with current data

Cebola, Luís M.; Emmanuel-Costa, David; Felipe, R. González

doi:10.1103/physrevd.92.025005

Cited by 43 publications

(47 citation statements)

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“…If we give up symmetries that predict mixing angles, it is also possible to use nonabelian flavor symmetries to obtain texture-zeros together with equal elements in the neutrino mass matrix, a scenario known as hybrid texture [44][45][46], recently generalized in ref. [47].…”

Section: Introductionmentioning

confidence: 99%

Mu-tau reflection symmetry with a texture-zero

Nishi

Sánchez-Vega

2017

J. High Energ. Phys.

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Abstract:The µτ -reflection symmetry is a simple symmetry capable of predicting all the unknown CP phases of the lepton sector and the atmospheric angle but too simple to predict the absolute neutrino mass scale or the mass ordering. We show that by combining it with a discrete abelian symmetry in a nontrivial way we can additionally enforce a texture-zero and obtain a highly predictive scenario where the lightest neutrino mass is fixed to be in the few meV range for two normal ordering (NO) solutions or in the tens of meV in one inverted ordering (IO) solution. The rate for neutrinoless double beta decay is predicted to be negligible for NO or have effective mass m ββ ≈ 14-29 meV for IO, right in the region to be probed in future experiments.

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Section: Introductionmentioning

confidence: 99%

Mu-tau reflection symmetry with a texture-zero

Nishi

Sánchez-Vega

2017

J. High Energ. Phys.

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“…Therefore, phenomenological approaches on specific textures of quark mass matrices have been widely adopted to obtain vital clues on the underlying flavor dynamics [10][11][12][13][14][15][16][17]. However, experience shows that there exist a vast number of texture zero structures, [18][19][20][21][22][23][24][25][26][27][28][29][30][31] both for the quark and lepton sectors, which in principle, may not be ruled out by experiments. This suggests that the texture approach alone is perhaps not sufficient to account for the flavor dynamics and one may require to use additional assumptions (based on observations) to extract some useful information on the gross possible structures of these matrices from a model-independent prospective, particularly, for the quark sector.…”

Section: Introductionmentioning

confidence: 99%

Quark flavor mixings from hierarchical mass matrices

Verma

Zhou

2016

Eur. Phys. J. C

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In this paper, we extend the Fritzsch ansatz of quark mass matrices while retaining their hierarchical structures and show that the main features of the CabibboKobayashi-Maskawa (CKM) matrix V , including |V us | |V cd |, |V cb | |V ts | and |V ub |/|V cb | < |V td |/|V ts |, can be well understood. This agreement is observed especially when the mass matrices have non-vanishing (1, 3) and (3, 1) offdiagonal elements. The phenomenological consequences of these for the allowed texture content and gross structural features of 'hierarchical' quark mass matrices are addressed from a model-independent prospective under the assumption of factorizable phases in these. The approximate and analytical expressions of the CKM matrix elements are derived and a detailed analysis reveals that such structures are in good agreement with the observed quark flavor mixing angles and the CP-violating phase at the 1σ level and call upon a further investigation of the realization of these structures from a top-down prospective.

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“…There are various theoretical constructions to restrict the number of free parameters in the leptonic flavor sector to make a particular model of neutrino masses and mixings more predictive. These approaches include texture zeros [8][9][10][11], hybrid texture [12,13], and vanishing minor [14,15], which are consistent with current data on neutrino masses and mixings. These Ansatze have profound phenomenological implications for our quest to understand the origin of neutrino masses and mixings.…”

Section: Introductionmentioning

confidence: 63%

Connecting Majorana phases to the geometric parameters of the Majorana unitarity triangle in a neutrino mass matrix model

Verma

Bhardwaj

2018

Phys. Rev. D

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We have investigated a possible connection between the Majorana phases and geometric parameters of Majorana unitarity triangle (MT) in two-texture zero neutrino mass matrix. Such analytical relations can, also, be obtained for other theoretical models viz. hybrid textures, neutrino mass matrix with vanishing minors and have profound implications for geometric description of CP violation. As an example, we have considered the two-texture zero neutrino mass model to obtain a relation between Majorana phases and MT parameters that may be probed in various lepton number violating processes. In particular, we find that Majorana phases depend on only one of the three interior angles of the MT in each class of two-texture zero neutrino mass matrix. We have also constructed the MT for class A, B, and C neutrino mass matrices. Nonvanishing areas and nontrivial orientations of these Majorana unitarity triangles indicate nonzero CP violation as a generic feature of this class of mass models.

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Confronting predictive texture zeros in lepton mass matrices with current data

Cited by 43 publications

References 50 publications

Mu-tau reflection symmetry with a texture-zero

Mu-tau reflection symmetry with a texture-zero

Quark flavor mixings from hierarchical mass matrices

Connecting Majorana phases to the geometric parameters of the Majorana unitarity triangle in a neutrino mass matrix model

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