Discrete symmetry and Cabibbo angle

Pakvasa, Sandip; Sugawara, Hirotaka

doi:10.1016/0370-2693(78)90172-7

Cited by 333 publications

(291 citation statements)

References 3 publications

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“…the origin of the number of generations, the observed mass hierarchies as well as the mixing angles. Many attempts to understand flavor are based on spontaneously broken Abelian [1] and non-Abelian flavor symmetries [2], such as S 3 (≈ D 3 ) [3], S 4 [4], A 4 [5], D 4 [6], D 5 [7], Q 6 [8], ∆-subgroups of SU(3) [9,10,11], governing Yukawa couplings for quarks and leptons. Discrete symmetries are not only useful to understand flavor issues (e.g.…”

Section: Introductionmentioning

confidence: 99%

Stringy origin of non-Abelian discrete flavor symmetries

et al. 2007

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We study the origin of non-Abelian discrete flavor symmetries in superstring theory. We classify all possible non-Abelian discrete flavor symmetries which can appear in heterotic orbifold models. These symmetries include D 4 and ∆(54). We find that the symmetries of the couplings are always larger than the symmetries of the compact space. This is because they are a consequence of the geometry of the orbifold combined with the space group selection rules of the string. We also study possible breaking patterns. Our analysis yields a simple geometric understanding of the realization of non-Abelian flavor symmetries.

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Section: Introductionmentioning

confidence: 99%

Stringy origin of non-Abelian discrete flavor symmetries

et al. 2007

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“…On the other hand New Physics in the form of various super-symmetric models [133] (including SUSY models with quark-squark ahgnment which actually requires Amo close to the current experimental bound) [134], models with singlet up quarks [135], various leptoquark models [136], and multiscalar models with [137] and without [138] natural flavor conservation could enhance XD to and actually even above the present bound …”

Section: Do -Do Oscillationsmentioning

confidence: 94%

The potential for neutrino physics at muon colliders and dedicated high current muon storage rings

et al. 2002

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Abstract:Conceptual design studies are underway for both muon colliders and highcurrent non-colliding muon storage rings that have the potential to become the first true "neutrino factories*. Muon decays in long straight sections of the storage rings would produce uniquely intense and precisely characterized twocomponent neutrino beams -. muon neutrinos plus electron antineutrinos from negative muon decays and electron neutrinos plus muon antineutrinos from positive muons. This article presents a long-term overview of the prospects for these facilities to greatly extend our capabilities for accelerator-based neutrino physics studies for both high rate and long baseline neutrino experiments. As the first major physics topic, recent experimental result.s involving neutrino oscillations have motivated a vigorous design effort towards dedicated neutrino factories that would store muon beams of energies 50 GeV or below. These facilities hold the promise of neutrino oscillation experiments with baselines up to intercontinental distances and utilizing well understood beams that contain, for the first time, a substantial component of multi-GeV electron-flavored neutrinos. In deference to the active and S&-moving nature of neutrino oscillation studies, the discussion of long baseline physics at neutrino factories has been limited to a concise general overview of the relevant theory, detector technologies, beam properties, experimental goaks and potential physics capabilities. The remainder of the article is devoted to the complementary high rate neutrino experiments that would study neutrino-nucleon and neutrino-electron scattering and would be performed at high performance detectors placed as close as is practical to the neutrino production straight section of muon storage rings in order to exploit beams with transverse dimensions as small as a few tens of centimeters.Icontact author, email: bkingQ!bnl.gov .

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“…In this case, after a common 45 degree rotation in the (1-2) sector that would set the (1,3) and (3,1) entries of M u,d of Eq. (3.16) to zero without inducing CKM mixing, we can write (3.18) whereM u,d are real matrices given aŝ 19) and P u,d are diagonal phase matrices given as…”

Section: The Higgs Sectormentioning

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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Discrete symmetry and Cabibbo angle

Cited by 333 publications

References 3 publications

Stringy origin of non-Abelian discrete flavor symmetries

Stringy origin of non-Abelian discrete flavor symmetries

The potential for neutrino physics at muon colliders and dedicated high current muon storage rings

Variations on the supersymmetricQ6model of flavor

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