Unified triminimal parametrizations of quark and lepton mixing matrices

dc.creatorHe, Xiao-Gang
dc.creatorLi, Shi-Wen
dc.creatorMa, Bo-Qiang
dc.date2009-03-17
dc.date.accessioned2026-07-07T13:06:43Z
dc.date.available2026-07-07T13:06:43Z
dc.descriptionWe present a detailed study on triminimal parametrizations of quark and lepton mixing matrices with different basis matrices. We start with a general discussion on the triminimal expansion of the mixing matrix and on possible unified quark and lepton parametrization using quark-lepton complementarity (QLC). We then consider several interesting basis matrices and compare the triminimal parametrizations with the Wolfenstein-like parametrizations. The usual Wolfenstein parametrization for quark mixing is a triminimal expansion around the unit matrix as the basis. The corresponding QLC lepton mixing matrix is a triminimal expansion around the bimaximal basis. Current neutrino oscillation data show that the lepton mixing matrix is very well represented by the tri-bimaximal mixing. It is natural to take it as an expanding basis. The corresponding zeroth order basis for quark mixing in this case makes the triminimal expansion converge much faster than the usual Wolfenstein parametrization. The triminimal expansion based on tri-bimaximal mixing can be converted to the Wolfenstein-like parametrizations discussed in the literature. We thus have a unified description between different kinds of parametrizations for quark and lepton sectors: the standard parametrizations, the Wolfenstein-like parametrizations, and the triminimal parametrizations.
dc.description14 latex pages, no figure, to appear in PRD
dc.identifierhttps://arxiv.org/abs/0903.2880
dc.identifierhttp://arxiv.org/abs/0903.2880
dc.identifierPhys.Rev.D79:073001,2009
dc.identifierdoi:10.1103/PhysRevD.79.073001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227867
dc.subjectHigh Energy Physics - Phenomenology
dc.titleUnified triminimal parametrizations of quark and lepton mixing matrices
dc.typetext

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