%0 Journal Article %1 Xing2009Right %A Xing, Zhi-zhong %D 2009 %J Physics Letters B %K ckm, texture %N 2 %P 111--117 %R 10.1016/j.physletb.2009.07.027 %T Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity %U http://dx.doi.org/10.1016/j.physletb.2009.07.027 %V 679 %X Current experimental data indicate that two unitarity triangles of the CKM quark flavor mixing matrix V are almost the right triangles with \approx 90^\circ. We find that = 90^actually points to \rm Re(V\_tbV\_udV^*\_tdV^*\_ub) = 0. Considering a very suggestive parametrization of V, we show that its CP-violating phase is nearly equal to (i.e., - 1.1^\circ). Both and are stable against the renormalizaton-group evolution from the electroweak scale M\_Z to a superhigh energy scale M\_X or vice versa, and thus it is impossible to obtain = 90^at M\_Z from = 90^at M\_X. We conjecture that there might also exist a maximal CP-violating phase 90^in the MNS lepton flavor 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 |V\_ub| and |V\_e3|.

@article{Xing2009Right, abstract = {Current experimental data indicate that two unitarity triangles of the CKM quark flavor mixing matrix V are almost the right triangles with \alpha \approx 90^\circ. We find that \alpha = 90^\circ actually points to {\rm Re}(V\_{tb}V\_{ud}V^*\_{td}V^*\_{ub}) = 0. Considering a very suggestive parametrization of V, we show that its CP-violating phase \phi is nearly equal to \alpha (i.e., \phi - \alpha \approx 1.1^\circ). Both \phi and \alpha are stable against the renormalizaton-group evolution from the electroweak scale M\_Z to a superhigh energy scale M\_X or vice versa, and thus it is impossible to obtain \alpha = 90^\circ at M\_Z from \phi = 90^\circ at M\_X. We conjecture that there might also exist a maximal CP-violating phase \phi \approx 90^\circ in the MNS lepton flavor 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 |V\_{ub}| and |V\_{e3}|.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Xing, Zhi-zhong}, biburl = {https://www.bibsonomy.org/bibtex/28599714f62a3474fbceb9c96d36df8d7/cmcneile}, citeulike-article-id = {5492735}, citeulike-linkout-0 = {http://arxiv.org/abs/0904.3172}, citeulike-linkout-1 = {http://arxiv.org/pdf/0904.3172}, citeulike-linkout-2 = {http://dx.doi.org/10.1016/j.physletb.2009.07.027}, day = 16, doi = {10.1016/j.physletb.2009.07.027}, eprint = {0904.3172}, interhash = {d8e52df85393605ff072cb4a0a2254c5}, intrahash = {8599714f62a3474fbceb9c96d36df8d7}, issn = {03702693}, journal = {Physics Letters B}, keywords = {ckm, texture}, month = jul, number = 2, pages = {111--117}, posted-at = {2010-04-03 09:05:02}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity}}, url = {http://dx.doi.org/10.1016/j.physletb.2009.07.027}, volume = 679, year = 2009 }