Neutrino mixing and leptonic CP violation from S4 flavour and generalised CP symmetries

Penedo, J. T.; Petcov, S.T.; Titov, Arsenii

doi:10.1007/jhep12(2017)022

Cited by 29 publications

(32 citation statements)

References 92 publications

(277 reference statements)

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“…We see that the mixing matrix U IV is independent of group index n, consequently this mixing pattern will appear in the discussion of any ∆(6n 2 ) group. For the flavor group S 4 with n = 2, U IV coincides with the mixing matrix of Group A in [59]. Furthermore, we see that the following identities are fulfilled…”

Section: )mentioning

confidence: 65%

“…For the group ∆(6 · 2 2 ) ∼ = S 4 , the parameter ϕ 4 can be 0 or π/2, and the mixing pattern U II for ϕ 4 = 0 and ϕ 4 = π/2 correspond to the cases of Group C and Group D of Ref. [59] exactly. Then we turn to the next flavor group ∆(6 · 3 2 ) = ∆(54), the discrete parameter ϕ 4 can take the values of 0, π/3 and 2π/3.…”

Section: Examples Of Lepton Mixing Patterns From ∆(6n 2 ) and Cp Symmmentioning

confidence: 99%

See 1 more Smart Citation

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Lu¹,

Ding²

2018

Phys. Rev. D

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We have studied two approaches to predict quark and lepton mixing patterns from the same flavor symmetry group in combination with CP symmetry. The first approach is based on the residual symmetry Z 2 in the charged lepton sector and Z 2 × CP in the neutrino sector. All lepton mixing angles and CP violation phases depend on three real parameters θ l , δ l and θ ν . This approach is extended to the quark sector, the up and down quark mass matrices are assumed to be invariant under a Z 2 subgroup and Z 2 × CP . The necessary and sufficient conditions for the equivalence of two mixing patterns are derived. The second approach has an abelian subgroup and a single CP transformation as residual symmetries of the charged lepton and neutrino sectors respectively. The lepton mixing would be determined up to a real orthogonal matrix multiplied from the right hand side. Analogously we assume that a single CP transformation is preserved by the down (or up) quark mass matrix, and the residual symmetry of the up (or down) quark sector is be an abelian subgroup. As an example, we analyze the possible mixing patterns which can be obtained from the breaking of ∆(6n 2 ) and CP symmetries. We find ∆(294) combined with CP is the smallest flavor group which can give a good fit to the experimental data of quark and lepton mixing in both approaches. *

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Section: )mentioning

confidence: 65%

Section: Examples Of Lepton Mixing Patterns From ∆(6n 2 ) and Cp Symmmentioning

confidence: 99%

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Lu¹,

Ding²

2018

Phys. Rev. D

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“…The dimensions of these linear spaces have been given in Table 3. Below, for each N ≤ 5, we present these expansions as well as the decompositions of the lowest weight multiplets of Appendix C.1 (given in the symmetric basis of Appendix B.2) in terms of the basis vectors b 15) with q 2 ≡ e 2πi τ /2 = e πi τ . The lowest weight modular multiplet of Γ 2 can be written in terms of the above vectors, namely (see also [23]): , with the index µ labelling linearly independent multiplets, may be obtained from those of lower weight via tensor products.…”

Section: C2 Bases For Spaces Of Lowest Weight Forms and Their Q-expamentioning

confidence: 99%

“…Such models have more predictive power and allow, in particular, for prediction of the Majorana phases. The implications of combining the gCP symmetry with a flavour symmetry have been extensively studied for many discrete groups, including A 4 [7,8], T [9], S 4 [6,[10][11][12][13][14][15] and A 5 [16][17][18][19] (see also [20]).…”

Section: Introductionmentioning

confidence: 99%

Generalised CP symmetry in modular-invariant models of flavour

Novichkov

Penedo

Petcov

et al. 2019

J. High Energ. Phys.

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159

176

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The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus τ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular S 4 model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus τ being the only source of CP violation.

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“…The complex invariance condition in (2.1) can be obtained by the means of a CP transformation [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65] on the neutrino fields as…”

Section: Complex Extension Of µτ Antisymmetrymentioning

confidence: 99%

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Samanta

Roy

Ghosal

2018

J. High Energ. Phys.

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We propose a complex extension of µτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) extension of µτ permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N 1 and N 2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or π. We further provide an uptodate discussion of the ββ0ν process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N 1 only matters here with the asymmetry produced by N 2 being washed out. Tight upper and lower bounds on the mass of N 1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N 2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix.

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Neutrino mixing and leptonic CP violation from S4 flavour and generalised CP symmetries

Cited by 29 publications

References 92 publications

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Generalised CP symmetry in modular-invariant models of flavour

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

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