Texture specific mass matrices with Dirac neutrinos and their implications

Ahuja, Gulsheen; Gupta, Madhur; Randhawa, Monika; Verma, Rohit

doi:10.1103/physrevd.79.093006

Cited by 35 publications

(21 citation statements)

References 84 publications

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“…If neutrinos are Dirac particles, then one has more freedom for texture zeros in the corresponding mass matrix M D [27] because M D is an arbitrary complex 3 × 3 matrix, in contrast to M L which has to be symmetric. As for cases with M ℓ non-diagonal, studies are usually confined to instances where both the charged-lepton and the neutrino mass matrix have a Fritzsch-like texture [28,29] or extensions of it-see [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] and references therein. In general, one can define "parallel textures" as those where M ℓ and M L or M D have the same texture [45,46].…”

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confidence: 99%

A complete survey of texture zeros in the lepton mass matrices

Ludl

Grimus

2014

J. High Energ. Phys.

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We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M , M D ) and (M , M L ), where M , M D and M L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay.

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confidence: 99%

A complete survey of texture zeros in the lepton mass matrices

Ludl

Grimus

2014

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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“…(23)" can be reconstructed by the relations (17)(18)(19). Furthermore, the complete range of the free parameters ξ e and ζ e , allowed by the condition of naturalness, does not seem to play a significant role in predicting the three mixing angles as depicted in Fig.…”

Section: Resultsmentioning

confidence: 99%

Lepton textures and neutrino oscillations

Verma

2014

Int. J. Mod. Phys. A

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Systematic analyses of the textures arising in lepton mass matrices have been carried out using unitary transformations and condition of naturalness for the Dirac and Majorana neutrino possibilities. It is observed that the recent three neutrino oscillation data together with the effective mass in neutrinoless double beta decay provide vital clues in predicting the general structures of these lepton mass matrices.

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Texture specific mass matrices with Dirac neutrinos and their implications

Cited by 35 publications

References 84 publications

A complete survey of texture zeros in the lepton mass matrices

A complete survey of texture zeros in the lepton mass matrices

Quark flavor mixings from hierarchical mass matrices

Lepton textures and neutrino oscillations

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