Comment on reparametrization invariance of quark-lepton complementarity
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Journal Volume
711
Journal Issue
1
Pages
57-61
Date Issued
2012
Author(s)
Abstract
We study the complementarity between quark and lepton mixing angles (QLC), the sum of an angle in quark mixing and the corresponding angle in lepton mixing is π/4. Experimentally in the standard PDG parametrization, two such relations exist approximately. These QLC relations are accidental which only manifest themselves in the PDG parametrization. We propose reparametrization invariant expressions for the complementarity relations in terms of the magnitude of the elements in the quark and lepton mixing matrices. In the exact QLC limit, it is found that |V us/V ud|+|V e2/V e1|+|V us/V ud
V e2/V e1|=1 and |V cb/V tb|+|V μ3/V τ3|+|V cb/V tb
V μ3/V τ3|=1. Expressions with deviations from exact complementarity are obtained. Implications of these relations are also discussed. © 2012 Elsevier B.V.
Type
journal article