arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0904.3172hep-phhep-ex
收藏

右么正三角形、稳定CP破坏相和近似夸克-轻子互补

Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity

Zhi-zhong Xing

备注：
RevTex 12 pages, 1 PS figure. Accepted for publication in PLB
发表信息：
Phys.Lett.B679:111-117,2009
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

目前的实验数据表明，CKM夸克味混合矩阵V的两个么正三角形几乎是直角三角形，α \approx为90^ \circ .我们发现α= 90^ \circ实际上指向{ \rm Re}（V_{tb} V_{ud} V^*_{td}V^*_{ub}）= 0。考虑到V的一个非常有启发性的参数化，我们证明了它的CP破坏相位λ几乎等于α（即，α-\approx 1.1（\circ）。从电弱标度M_Z到超高能标度M_X或从超高能标度M_X到电弱标度M_Z的重整化群演化中，α和ε都是稳定的，因此，从M_X处的ε = 90 ^\circ得到M_Z处的α= 90 ^\circ是不可能的。我们推测在MNS轻子味混合矩阵U中也可能存在一个最大CP破坏相位ε \approx 90^ \circ。在V和U的标准参数化中成立的近似夸克-轻子互补关系也可以在我们的V和U的特殊参数化中成立，这仅仅是因为|V_{ub}|和|V_{e3}|.

英文摘要：

Current experimental data indicate that two unitarity triangles of the CKM quark flavor mixing matrix V are almost the right triangles with α\approx 90^\circ. We find that α= 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 ϕis nearly equal to α(i.e., ϕ- α\approx 1.1^\circ). Both ϕand αare 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 α= 90^\circ at M_Z from ϕ= 90^\circ at M_X. We conjecture that there might also exist a maximal CP-violating phase ϕ\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}|.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑