Neutrino Mass Matrix from Seesaw Mechanism with Heavy Majorana Neutrino Subject to Texture Zero and Invariant Under a Cyclic Permutation

Damanik, Asan; Satriawan, Mirza; Anggraita, Pramudita; Hermanto, Arief; Muslim, Muslim

doi:10.48550/arxiv.0710.1742

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…A 4 [16], µτ symmetry [17]- [44], scaling ansatz [45]- [54], to generate nondegenerate mass eigenvalues [55] and θ 23 , θ 12 = 0 with θ 13 = 0 at the leading order and nonzero θ 13 [56]- [73] is generated by further breaking of such symmetries or ansatz. Contrary to the above idea, in the present work, we explore a typical symmetry, cyclic permutation symmetry [74][75][76], in which it is possible to generate all three mixing angles nonzero at the leading order, however, the mass eigenvalues become degenerate. To circumvent this loop hole, we break the symmetry in such a way that the degeneracy in mass eigenvalues is lifted but the mixing angles are still compatible with the extant data.…”

Section: Introductionmentioning

confidence: 99%

Masses, mixing angles and phases of general Majorana neutrino mass matrix

Adhikary¹,

Chakraborty

Ghosal

2013

J. High Energ. Phys.

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Section: Introductionmentioning

confidence: 99%

Masses, mixing angles and phases of general Majorana neutrino mass matrix

Adhikary¹,

Chakraborty

Ghosal

2013

J. High Energ. Phys.

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“…where l, l = e, µ, τ . We demand that the neutrino part of the Lagrangian is invariant under the cyclic permutation [19][20][21][22][23] as given in eq. (1.3).…”

Section: Cyclic Symmetric Modelmentioning

confidence: 99%

Flavored leptogenesis with quasidegenerate neutrinos in a broken cyclic symmetric model

Adhikary¹,

Chakraborty

Ghosal

2016

Phys. Rev. D

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Cyclic symmetry in the neutrino sector with the type-I seesaw mechanism in the mass basis of charged leptons and right chiral neutrinos (N iR , i = e, µ, τ ) generates two fold degenerate light neutrino and three fold degenerate heavy neutrino mass spectrum. Consequently, such scheme, produces vanishing one light neutrino mass squared difference and lepton asymmetry. To circumvent such unphysical outcome, we break cyclic symmetry in the diagonal right chiral neutrino mass term by a small breaking parameter. Nonzero mass squared differences and mixing angles are generated with the help of the small breaking parameter. Smallness of the breaking parameter opens up a possibility of resonant leptogenesis. Assuming complex Yukawa couplings, we derive generalized expressions flavor dependent CP asymmetry parameters (ε α i ) which are valid for quasi degenerate as well as hierarchical mass spectrum of right handed neutrinos. There after we set up the chain of coupled Boltzmann equations (which are flavor dependent too) which have to be solved in order to get the final lepton asymmetries. Depending upon the temperature regime the CP asymmetries and the Boltzmann equations may also be flavor independent. As our goal is to study the enhancement of CP asymmetry due to quasi degeneracy of right handed neutrinos, we select only the lowest allowed (by neutrino oscillation data) value of breaking parameter (and other corresponding Lagrangian parameters) and estimate the baryon asymmetry parameter Y B . Experimental constraint of Y B introduces a bound on right handed neutrino mass which remained unrestricted by neutrino oscillation data. *

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“…Motivated by the first one (as the neutrino mass matrices are highly constrained with minimum number of parameters), in the second method, we concentrate on cyclic symmetry invariant form of the neutrino mass matrices rather inquire to the explicit symmetry on the fields. Such type of form invariance can be realized through the residual symmetry [38][39][40] of some bigger symmetry group in the Lagrangian. To realize one of the sub case, as a toy model we exemplify a softly broken A 4 group as the bigger symmetry group which is completely broken in the charged lepton sector, though in the neutrino sector it breaks into Z 3 at the leading order.…”

Section: Introductionmentioning

confidence: 99%

Probing maximal zero textures with broken cyclic symmetry in inverse seesaw

Samanta

Ghosal

2016

Nuclear Physics B

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Within the framework of inverse seesaw mechanism we investigate neutrino mass matrices invariant under cyclic symmetry (Z 3 ) with maximal zero texture (6 zero textures). We explore two different approaches to obtain the cyclic symmetry invariant form of the constituent matrices. In the first one we consider explicit cyclic symmetry in the neutrino sector of the Lagrangian which dictates the emerged effective neutrino mass matrix (m ν ) to be symmetry invariant and hence leads to a degeneracy in masses. We then consider explicit breaking of the symmetry through a dimensionless parameter to remove the degeneracy. It is seen that the method doesn't support the current neutrino oscillation global fit data even after considering the correction from cyclic symmetry invariant charged lepton mass matrix (m l ) unless the breaking parameter is too large. In the second method, we assume the same forms of the neutrino mass matrices, however, symmetry is broken in the charged lepton sector. All the structures of the mass matrices are now dictated by an effective residual symmetry of some larger symmetry group in the Lagrangian. For illustration, we exemplify a toy model based on softly broken A 4 symmetry group which leads to one of the combination of m l , m D , M RS and µ to generate effective m ν . All the emerged mass matrices predict a constraint range of the CP violating phases and atmospheric mixing angle along with an inverted hierarchical structure of the neutrino masses. Further, signifi- * rome.samanta@saha.ac.in † ambar.ghosal@saha.ac.in cant predictions on ββ0ν decay parameter |m 11 | and the sum of the three light neutrino masses (Σ i m i ) are also obtained.

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Neutrino Mass Matrix from Seesaw Mechanism with Heavy Majorana Neutrino Subject to Texture Zero and Invariant Under a Cyclic Permutation

Cited by 3 publications

References 7 publications

Masses, mixing angles and phases of general Majorana neutrino mass matrix

Masses, mixing angles and phases of general Majorana neutrino mass matrix

Flavored leptogenesis with quasidegenerate neutrinos in a broken cyclic symmetric model

Probing maximal zero textures with broken cyclic symmetry in inverse seesaw

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