Violation of Universal Yukawa Coupling and Quark Masses

Teshima, Tadayuki; Sakai, Toyokazu

doi:10.1143/ptp.97.653

Cited by 9 publications

(21 citation statements)

References 7 publications

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“…Numerically, allowed regions of ε We present the case analyzed precisely in our work [13] where violation parameters are involved in nondiagonal element of the quark mass matrix. We use the following quark mass matrices Eq.…”

Section: Diagonal Violation Parameter Casementioning

confidence: 99%

Large neutrino mixing in a universal Yukawa coupling model with small violation

2002

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We have analyzed the possibility that the universal Yukawa coupling (democratic mass matrix) with small violations of Dirac and Majorana neutrinos can induce the large mixing of neutrinos through the seesaw mechanism. The possibility can be achieved by the condition that the violation parameters of Majorana neutrinos are sufficiently smaller than the violation parameters of Dirac neutrinos. Allowed regions of the violation parameters producing the observed neutrino mass hierarchy and large neutrino mixing are not so restricted at present in contrast to the violation parameters for quark sector. In order to obtain the distinctive features in violation parameters for neutrino sector as quark sector, one should take more precise data concerned with the neutrino experiments, for example mass values of neutrinos , mixing parameters of U MNS and CP violation phases.

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Section: Diagonal Violation Parameter Casementioning

confidence: 99%

Large neutrino mixing in a universal Yukawa coupling model with small violation

2002

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“…for each q-sector_ In short, the hierarchical order estimations mJ ex 8~-2j (q = u, d) (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20) approximately hold_ Note here that the best fittings of the quark masses and the CKM matrix elements in §4 give the estimates 8~ ~ 10-3 and 8~ ~ 10-2 (see Eq_ (4-3))_ Taking these facts into account beforehand, we have introduced the parameter 8~ rather than 8 q to describe the deviation of mass spectrum from the democratic limit in Eq_ (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)_ This definition turns out to be crucial to obtain a simple representation of the CKM matrix in terms of parameters describing small deviations from the democratic limit and to extract sum rules from it_ §3. …”

Section: M~-mi)mentioning

confidence: 99%

“…7) - 19) The calculability of the CKM matrix elements in terms of quark mass ratios is examined under the hypothesis of the universal strength of Yukawa couplings in which all Yukawa coupling constants are assumed to have equal moduli. 15) - 18) It was shown that it is possible to find the CKM matrix elements from quasi-democratic mass matrices which are consistent with present experimental data to high accuracy.…”

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confidence: 99%

“…15) - 18) It was shown that it is possible to find the CKM matrix elements from quasi-democratic mass matrices which are consistent with present experimental data to high accuracy. 19) In this article, sum rules of the CKM matrix elements are extracted from Hermitian quasi-democratic mass matrices which have small deviation terms and phases in off-diagonal elements. For this purpose we solve mass eigenvalue problems in a first order perturbation approximation with respect to small deviations around the democratic limit.…”

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confidence: 99%

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Approximate Sum Rules of CKM Matrix Elements from Quasi-Democratic Mass Matrices

Sogami

Nishida

Tanaka

et al. 1998

Progress of Theoretical Physics

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To extract sum rules of CKM matrix elements, eigenvalue problems for quasi-democratic mass matrices are solved in the first order perturbation approximation with respect to small deviations from the democratic limit. Mass spectra of up and down quark sectors and the CKM matrix are shown to have clear and distinctive hierarchical structures. Numerical analysis shows that the absolute values of calculated CKM matrix elements fit the experimental data quite well. The order of the magnitude of the Jarlskog parameter is estimated by the relation IJI : : : : : : ,;'i(mc/mt + ms/mb)lVu.12IVcbl/4. §1. Introduction 281 Fundamental fermions, quarks and leptons, exist with a broad mass spectrum, ranging from zero or almost zero masses of neutrinos to 180 GeV of the top quark. Magnitude of the weak Cabbibo-Kobayashi-Maskawa (CKM) matrix elements 1), 2) tends to decrease rapidly from the diagonal to the off-diagonal direction. It is impossible to explain such hierarchical structures of fundamental fermions within the framework of the standard model. To do so it is necessary to postulate some working hypothesis on the mass matrices from outside of the model.Among various forms of mass matrices, 3) -6) democratic mass matrices with small correction terms explain such hierarchical structures in a simple and systematic way. 7) -19) The calculability of the CKM matrix elements in terms of quark mass ratios is examined under the hypothesis of the universal strength of Yukawa couplings in which all Yukawa coupling constants are assumed to have equal moduli. 15) -18) It was shown that it is possible to find the CKM matrix elements from quasi-democratic mass matrices which are consistent with present experimental data to high accuracy. 19) In this article, sum rules of the CKM matrix elements are extracted from Hermitian quasi-democratic mass matrices which have small deviation terms and phases in off-diagonal elements. For this purpose we solve mass eigenvalue problems in a first order perturbation approximation with respect to small deviations around the democratic limit.We postulate here that mass matrices for up and down quark sectors are quasidemocratic and represented generically in the forms *)

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“…9), 10) In particular, our approach 10) is capable of reproducing precise numerical results of the quark mass hierarchy and the V CKM matrix elements by using the universal Yukawa coupling with small violations. This approach is organized as follows: (1) The main mass hierarchies between (u, c) and t in the (u, c, t) sector and between (d, s) and b in the (d, s, b) sector are created by the universality of Yukawa coupling.…”

Section: §1 Introductionmentioning

confidence: 96%

Small Violation of Universal Yukawa Coupling and Neutrino Large Mixing

Teshima¹,

Asai²

2001

Progress of Theoretical Physics

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We assume the universal Yukawa coupling (democratic mass matrix) with small violations for quarks, charged leptons and neutrinos masses. We could reproduce the mass hierarchy for quark masses and V_{CKM} matrix elements precisely. We adopt the see-saw mechanism for the explanation of smallness of neutrino masses and introduce the right-handed Majorana neutrinos and Dirac neutrinos. We assume the universal Yukawa coupling with small violations for Majorana and Dirac neutrinos. We can get the hierarchy of charged lepton masses and effective neutrino masses and the large mixing of neutrinos expressed in V_{NMS}.Comment: 12 pages, 4 figures, LaTe

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Violation of Universal Yukawa Coupling and Quark Masses

Cited by 9 publications

References 7 publications

Large neutrino mixing in a universal Yukawa coupling model with small violation

Large neutrino mixing in a universal Yukawa coupling model with small violation

Approximate Sum Rules of CKM Matrix Elements from Quasi-Democratic Mass Matrices

Small Violation of Universal Yukawa Coupling and Neutrino Large Mixing

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