Article ID Journal Published Year Pages File Type
10723853 Physics Letters B 2009 7 Pages PDF
Abstract
Current experimental data indicate that two unitarity triangles of the CKM quark mixing matrix V are almost the right triangles with α≈90°. We highlight a very suggestive parametrization of V and show that its CP-violating phase ϕ is nearly equal to α (i.e., ϕ−α≈1.1°). Both ϕ and α are stable against the renormalizaton-group evolution from the electroweak scale MZ to a superhigh energy scale MX or vice versa, and thus it is impossible to obtain α=90° at MZ from ϕ=90° at MX. We conjecture that there might also exist a maximal CP-violating phase φ≈90° in the MNS lepton mixing matrix U. The approximate quark-lepton complementarity relations, which hold in the standard parametrizations of V and U, can also hold in our particular parametrizations of V and U simply due to the smallness of |Vub| and |Ve3|.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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