Combined flavor symmetry violation and lepton number violation in neutrino physics

Berger, M. S.; Santana, S.

doi:10.1103/physrevd.74.113007

Cited by 10 publications

(11 citation statements)

References 32 publications

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“…. , 8) of which t 1 and t 2 are phenomenologically viable and the rest six are discarded. Among 144 m ν matrices we get eighteen t 2 type matrices and three t 1 type matrices and the notable fact is that all three t 1 type matrices are generated by the combination of 6 zero m D and 6 zero m DS where as t 2 type matrices emerged in all type of combinations except those of 7 zero m D with 7 zero m DS .…”

Section: Discussionmentioning

confidence: 99%

“…There are several works [1][2][3][4][5][6][7][8][9] in which the scaling ansatz has been studied through its imposition on the columns of m ν . In the present work we consider scaling ansatz at a more fundamental level through its implementation in m D and m DS .…”

Section: Scaling Ansatzmentioning

confidence: 99%

“…In the present work we investigate the latter idea considering two ansatzes, (i) zeros in the Yukawa texture, (ii) a scaling property between the nonzero Yukawa matrix elements, referred to as scaling ansatz [1][2][3][4][5][6][7][8][9][10][11] within the framework of a variant of seesaw mechanism known as "linear seesaw" mechanism [12][13][14][15][16]. We do not touch the origin of those two well-studied ansatzes here, however, we bring the two ansatzes together here and investigate systematically the minimal number of parameters necessary * Corresponding author.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scaling ansatz with texture zeros in linear seesaw

2015

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We investigate scaling ansatz with texture zeros within the framework of linear seesaw mechanism. In this variant of seesaw mechanism a simplified expression of effective neutrino mass matrix m ν containing two Dirac type matrices (m D and m DS ) and one Majorana type matrix (m RS ) is obtained by virtue of neglecting the global U (1) L symmetry breaking term in the mass term of the Lagrangian. Along with the charged lepton mass matrix, the matrix m RS , too, is chosen in a diagonal basis whereas a scaling relation is incorporated in m D and m DS with different scale factors. Our goal in this work is to achieve a completely phenomenologically acceptable m ν generated by combinations of m D and m DS containing least number of independent parameters or maximum number of zeros. At the end of the numerical analysis it is found that number of zeros in any of the constituent Dirac type matrices (m D and m DS ) of m ν cannot be greater than six in order to meet the phenomenological requirements. The hierarchy obtained here is normal and also the values of the two parameters sum mass ( m i ) and |m νee | are below the present experimental lower limit.

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Section: Discussionmentioning

confidence: 99%

Section: Scaling Ansatzmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scaling ansatz with texture zeros in linear seesaw

2015

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“…Our goal in this work is to find out a phenomenologically viable texture of m D and µ with minimum number of parameters or equivalently maximum number of zeros. We bring together two theoretical ideas to find out a minimal texture and they are i) Scaling ansatz [17][18][19][20][21][22][23][24][25][26][27], ii) Texture Zeros [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Jhep05(2015)077mentioning

confidence: 99%

Probing texture zeros with scaling ansatz in inverse seesaw

Ghosal

Samanta

2015

J. High Energ. Phys.

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We investigate neutrino mass matrix phenomenology involving scaling ansatz and texture zeros adhering inverse seesaw mechanism. It is seen that four is the maximum number of zeros in m D and µ to obtain viable phenomenology. Depending upon the generic nature of the effective neutrino mass matrices we classify all the emerged matrices in four categories. One of them is ruled out phenomenologically due to inappropriate value of reactor mixing angle after breaking of the scaling ansatz. The mass ordering is inverted in all cases. One of the distinguishable feature of all these categories is the vanishingly small value of CP violation measure J CP due to small value of δ CP . Thus those categories will be ruled out if CP violation is observed in the leptonic sector in future experiments.

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“…It was pointed out by Mohapatra and Rodejohann [13,14] that-in the basis where the charged lepton mass matrix is diagonal-(1.5) can be realized from the larger symmetry group D 4 × Z 2 . This ansatz of SRS led to a sizable body of research [15][16][17][18][19][20][21]. But it predicts a vanishing s 13 (and hence no measurable leptonic Dirac CP-violation) as well as an inverted neutrino mass hierarchy (i.e.…”

Section: Introductionmentioning

confidence: 99%

Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix

2016

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The residual symmetry approach, along with a complex extension for some flavor invariance, is a powerful tool to uncover the flavor structure of the 3 × 3 neutrino Majorana mass matrix M ν toward gaining insights into neutrino mixing. We utilize this to propose a complex extension of the real scaling ansatz for M ν which was introduced some years ago. Unlike the latter, our proposal allows a nonzero mass for each of the three light neutrinos as well as a nonvanishing θ 13 . The generation of light neutrino masses via the type-I seesaw mechanism is also demonstrated. A major result of this scheme is that leptonic Dirac CP-violation must be maximal while atmospheric neutrino mixing does not need to be exactly maximal. Moreover, each of the two allowed Majorana phases, to be probed by the search for nuclear 0νββ decay, has to be at one of its two CP-conserving values. There are other interesting consequences such as the allowed occurrence of a normal mass ordering which is not favored by the real scaling ansatz. Our predictions will be tested in ongoing and future neutrino oscillation experiments at T2K, NOνA and DUNE.

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Combined flavor symmetry violation and lepton number violation in neutrino physics

Cited by 10 publications

References 32 publications

Scaling ansatz with texture zeros in linear seesaw

Scaling ansatz with texture zeros in linear seesaw

Probing texture zeros with scaling ansatz in inverse seesaw

Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix

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