Weak-interaction mixing in the six-quark theory

Fritzsch, Harald

doi:10.1016/0370-2693(78)90524-5

Cited by 663 publications

(457 citation statements)

References 11 publications

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“…In this context, following Weinberg [18] and Fritzsch [5], the strategy has been to assume that mass matrices for fermions have certain "textures" imposed on them by some underlying symmetries or these could be purely phenomenological ansatze. These textures allow one to derive some interesting "predictions" which can then be compared with the experiments.…”

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confidence: 99%

Unique mass texture for quarks and leptons

et al. 1999

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Texture specific quark mass matrices which are hermitian and hierarchical are examined in detail . In the case of texture 6 zeros matrices, out of sixteen possibilities examined by us, none is able to fit the low energy data (LED), for example, |V us |= 0.2196 ± 0.0023, |V cb |= 0.0395 ± 0.0017, | V ub V cb |= 0.08 ± 0.02, |V td | lies in the range 0.004 -0.013 (PDG). Similarly none of the 32 texture 5 zeros mass matrices considered is able to reproduce LED. In particular, the latest data from LEP regarding | V ub V cb | (= 0.093 ± 0.016) rules out all of them. In the texture 4 zeros case, we find that there is a unique texture structure for U and D mass matrices which is able to fit the data. PACS number(s): 12.15. Ff, 14.60.Pq, 96.60.Jw The raison d'être for the existence of three well seperated families of charged fermions remains ununderstood in the context of present day high energy physics. The mystery regarding the fermion masses has further deepened with the observation of "neutrino oscillations" by the Superkamiokande Collaboration [1] implying nonzero masses for the neutrinos and thus, giving for the first time a strong signal for the physics beyond the standard model. In the absence of any deeper understanding of fermion masses, attempts have been made on the one hand to understand arbitrary standard model Yukawa couplings of the fermions from more fundamental theories such as GUTs [2] composite models [3], left right symmetric models [4], etc.. On the other hand, attempts have been made to discover phenomenological quark mass matrices, which are in tune with the low energy data(LED). In this regard, specific ansatz for the quark mass matrices have been tried with a fair degree of success [5] - [13] to explain quark mixing matrix. Similarly phenomenological neutrino mass matrices have been considered [13,14] which attempt to accomodate simultaneously the Solar Neutrino Problem (SNP), Atmospheric Neutrino Problem (ANP) and Neutrino Oscillations observed by LSND.

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confidence: 99%

Unique mass texture for quarks and leptons

et al. 1999

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“…Notice here that the S 2 -invariant forms of VEVs depend on the group basis. It is found from (2.3) and (2.17) that such technically natural VEV of S 3 doublet is proportional to (1,1) t in the complex basis and (0, 1) t [or (1,0) t ] in the real basis. The former is available to realize large flavor mixing and the latter is useful for generating textures with vanishing elements.…”

Section: Invariant Matricesmentioning

confidence: 99%

“…They are given by the following form of S 3 -invariant mass operator ν c i (M R ) ij ν j : 1) where the mass parameters M and M ′ are generally free. They contain some compound factors such as suppressions by flavor U(1) invariance, but such suppression factors are cancelled out via the seesaw mechanism and irrelevant for low-energy quantity.…”

Section: Grand Unification With Flavor Smentioning

confidence: 99%

Discrete flavor symmetry, dynamical mass textures, and grand unification

Haba

Yoshioka

2006

Nuclear Physics B

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Discrete flavor symmetry is explored for an intrinsic property of mass matrix forms of quarks and leptons. In this paper we investigate the S 3 permutation symmetry and derive the general forms of mass matrices in various types of S 3 theories. We also exhibit particular realizations of previous ansatze of mass matrices, which have often been applied in the literature to the standard model Yukawa sector. Discrete flavor symmetry is also advantageous for vanishing matrix elements being dynamically generated in the vacuum of scalar potential. This is due to the fact that group operations are discrete. While zero elements themselves do not explain mass hierarchies, we introduce an abelian flavor symmetry. A non-trivial issue is whether successful quantum numbers can be assigned so that they are compatible with other (non-abelian) flavor symmetries. We show typical examples of charge assignments which not only produce hierarchical orders of mass eigenvalues but also prohibit non-renormalizable operators which disturb the hierarchies in first-order estimation. As an explicit application, a flavor model is constructed in grand unification scheme with S 3 and U (1) (or Z N ) flavor symmetries.

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“…The Higgs potential contains F terms derived from Eqs. 13) where the · and * products are defined in (2.6). We assume CP invariance, which implies that all the Yukawa couplings and the parameters in the Higgs potential are real.…”

Section: The Higgs Sectormentioning

confidence: 99%

“…The latter can also lead to predictive scenarios for quark and lepton mixings with "texture zeros" in the fermion mass matrices [12,13]. While for two families of fermions, such symmetric matrices with nearest neighbor interactions work well, the three family generalization is inconsistent with data [13]. Furthermore, these models by themselves do not solve the SUSY flavor problem.…”

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confidence: 99%

Variations on the supersymmetricQ6model of flavor

2011

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We observe that a recently proposed supersymmetric model with Q 6 flavor symmetry admits a new CP violating ground state. A new sum rule for the quark mixing parameters emerges, which is found to be consistent with data. Simple extensions of the model to the neutrino sector suggest an inverted hierarchical mass spectrum with nearly maximal CP violation (|δ MNS | ≃ π/2). Besides reducing the number of parameters in the fermion sector, these models also provide solutions to the SUSY flavor problem and the SUSY CP problem. We construct a renormalizable scalar potential that leads to the spontaneous breaking of CP symmetry and the family symmetry.

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Weak-interaction mixing in the six-quark theory

Cited by 663 publications

References 11 publications

Unique mass texture for quarks and leptons

Unique mass texture for quarks and leptons

Discrete flavor symmetry, dynamical mass textures, and grand unification

Variations on the supersymmetricQ6model of flavor

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