Weak self-masses, Cabibbo angle, and broken SU2 × SU2

Bilinear R-parity violation (BRPV) provides the simplest intrinsically supersymmetric neutrino mass generation scheme. While neutrino mixing parameters can be probed in high energy accelerators, they are unfortunately not predicted by the theory. Here we propose a model based on the discrete flavor symmetry A 4 with a single R-parity violating parameter, leading to (i) correct Cabbibo mixing given by the Gatto-Sartori-Tonin formula, and a successful unification-like b-tau mass relation, and (ii) a correlation between the lepton mixing angles θ 13 and θ 23 in agreement with recent neutrino oscillation data, as well as a (nearly) massless neutrino, leading to absence of neutrinoless double beta decay.

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“…This formula is simply the well-known Gatto-Sartori-Tonin relation [41]. Indeed from the matrix in eq.…”

Section: Jhep01(2013)033mentioning

confidence: 91%

Bilinear R-parity violation with flavor symmetry

Bazzocchi

Morisi

Peinado

et al. 2013

J. High Energ. Phys.

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“…We further assume here that there are texture zeros in the (1,1) and (1,3) elements, that the (1,2) and (2,1) elements have equal magnitude and that the texture is approximately symmetric ((3,2)∼(2,3)). These assumptions lead to the texture zero relations [1,8,11,10,12] We will prove that, quite generally, φ is approximately the Standard Model CP violating phase (for more restricted cases see [13,14]). …”

Section: Tests Of Texture Zero Predictionsmentioning

confidence: 98%

“…We start from eqs. (18), that assume only |Y 12 In SU (5) To examine the implications of this scenario we modify the parameterisation of the Yukawa matrices given in eqs (24,25) …”

Section: Fit To the Data: Asymmetric Texturementioning

confidence: 99%

Precision test of a Fermion mass texture

et al. 2001

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Texture zeros in the quark Yukawa matrices generally lead to precise and simple expressions for CKM matrix elements in terms of ratios of quark masses. Using the new data on b−decays we test a particularly promising texture zero solution and show that it is at best approximate. We analyse the approximate texture zero structure and show it is consistent with experiment. We investigate the implications for the CKM unitarity triangle, measurements at BaBar and BELLE as well as for the theories which invoke family symmetries.

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“…We remark that M e is obtained from M d by transposition and inclusion of the GJ factor of −3 [18]. The equality 3 of the (12) and (21) [17]. Assuming the following magnitudes for the flavons associated with the down quark/charged lepton sectors:…”

Section: The Quark and Charged Lepton Mass Matricesmentioning

confidence: 99%

“…The purpose of the present paper is to construct the first ∆(96) × SU(5) Grand Unified Theory (GUT) of Flavour in a Supersymmetric (SUSY) context, where the model leads to BT neutrino mixing, modified by charged lepton corrections. The model relates the quark mixing angles and masses in the form of the Gatto-Sartori-Tonin (GST) [17] relation and realises the Georgi-Jarlskog (GJ) [18] mass relations between the charged leptons and downtype quarks. In order to do this we have to develop the group theory of ∆(96) beyond that which appears in [16] where two models of leptons were proposed based on ∆(96).…”

Section: Introductionmentioning

confidence: 99%

A Grand Flavour Model

2013

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Recent results from the Daya Bay and RENO reactor experiments have measured the smallest lepton mixing angle and found it to have a value of θ 13 ≈ 9 • . This result presents a new challenge for the existing paradigms of discrete flavour symmetries which attempt to describe all quark and lepton masses and mixing angles. Here we propose a Supersymmetric Grand Unified Theory of Flavour based on ∆(96) × SU (5), together with a U (1)×Z 3 symmetry, including a full discussion of ∆(96) in a convenient basis. The Grand ∆(96) × SU (5) Flavour Model relates the quark mixing angles and masses in the form of the Gatto-Sartori-Tonin relation and realises the Georgi-Jarlskog mass relations between the charged leptons and down-type quarks. We predict a Bitrimaximal (not Tri-bimaximal) form of neutrino mixing matrix, which, after including charged lepton corrections with zero phase, leads to the following GUT scale predictions for the atmospheric, solar, and reactor mixing angles: θ 23 ≈ 36.9 • , θ 12 ≈ 32.7 • and θ 13 ≈ 9.6 • , in good agreement with recent global fits, and a zero Dirac CP phase δ ≈

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Weak self-masses, Cabibbo angle, and broken SU2 × SU2

Cited by 300 publications

References 7 publications

Bilinear R-parity violation with flavor symmetry

Bilinear R-parity violation with flavor symmetry

Precision test of a Fermion mass texture

A Grand Flavour Model

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