Origin of hierarchical structures of quark and lepton mass matrices

It is the goal of the so-called "Yukawaon" model to give a unified description of masses, mixing, and CP violation parameters of quarks and leptons without using any hierarchical (family number-dependent) parameters besides the charged lepton masses. However, in the conventional model so f...

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Veröffentlicht in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2015-06, Vol.91 (11), Article 116002
Hauptverfasser: Koide, Yoshio, Nishiura, Hiroyuki
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Sprache:eng
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Zusammenfassung:It is the goal of the so-called "Yukawaon" model to give a unified description of masses, mixing, and CP violation parameters of quarks and leptons without using any hierarchical (family number-dependent) parameters besides the charged lepton masses. However, in the conventional model so far, we have compelled ourselves to introduce a phase matrix P = daig(e super(i[varphi]1), e super(i[varphi]2), e super(i[varphi]3)) with the phase parameters ([varphi] sub(1), [varphi] sub(2), [varphi] sub(3)) as family number-dependent parameters other than the observed charged lepton mass values m sub(ei). In this paper, we present a revised model in which we are successful in describing the CP violating phase parameters [varphi] sub(i) in terms of m sub(ei). In the present model, by using the parameter values slightly changed from the previous version, we predict a value (ProQuest: Formulae and/or non-USASCII text omitted) [Asymptotically = to] -76[degrees] for the CP violating phase (ProQuest: Formulae and/or non-USASCII text omitted) in the standard expression of the lepton mixing matrix U sub(PMNS) , and (ProQuest: Formulae and/or non-USASCII text omitted) [Asymptotically = to] 72[degrees] for that of the quark mixing matrix.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.91.116002