Unified triminimal parametrizations of quark and lepton mixing matrices

Details Unified triminimal parametrizations of quark and lepton mixing matrices Unified triminimal parametrizations of quark and lepton mixing matrices

2009-03-17

arxiv.org/abs/0903.2880v1

Phys.Rev.D79:073001,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 latex pages, no figure, to appear in PRD

Scientific paper

10.1103/PhysRevD.79.073001

We 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.

Affiliated with

Also associated with

No associations

Rating

Unified triminimal parametrizations of quark and lepton mixing matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unified triminimal parametrizations of quark and lepton mixing matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unified triminimal parametrizations of quark and lepton mixing matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490857