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Quark–lepton complementarity : ウィキペディア英語版
Quark–lepton complementarity

The quark–lepton complementarity (QLC) is a possible fundamental symmetry between quarks and leptons. First proposed in 1990 by Foot and Lew,〔
〕 it assumes that leptons as well as quarks come in three "colors". Such theory may reproduce the Standard Model at low energies, and hence quark–lepton symmetry may be realized in nature.
== Possible evidence for QLC ==

Recent neutrino experiments confirm that the Pontecorvo–Maki–Nakagawa–Sakata matrix ''U''PMNS contains large mixing angles. For example, atmospheric measurements of particle decay yield  ≈ 45°, while solar experiments yield  ≈ 34°. These results should be compared with which is small,〔F. P. An et al. (Collaboration ), Phys. Rev. Lett. 108, 171803 (2012) [arXiv:1203.1669 [hep-ex]] http://arxiv.org/abs/arXiv:1203.1669〕 and with the quark mixing angles in the Cabibbo–Kobayashi–Maskawa matrix ''U''CKM. The disparity that nature indicates between quark and lepton mixing angles has been viewed in terms of a "quark–lepton complementarity" which can be expressed in the relations
: \theta_^+\theta_^\simeq 45^\circ \ ,
: \quad \quad \theta_^+\theta_^\simeq 45^\circ \ .
Possible consequences of QLC have been investigated in the literature and in particular a simple correspondence between the PMNS and CKM matrices have been proposed and analyzed in terms of a correlation matrix. The correlation matrix ''V''M is simply defined as the product of the CKM and PMNS matrices:
:V_\mathrm=U_\mathrm \cdot U_\mathrm \ ,
Unitarity implies:
:U_\mathrm=U^_\mathrmV_\mathrm \ .

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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