CP破坏与F理论大统一理论
CP Violation and F-theory GUTs
摘要：
最近关于F理论大统一理论的工作表明，夸克和轻子扇区中混合矩阵元的质量和幅值的预测与实验非常一致。本文利用Jarlskog不变量估计了混合矩阵的CP破坏相位。在Jarlskog不变量的计算中，我们仔细处理了某些抵消项，发现|J_quark| ~ α_GUT^（3）~ 6*10^（-5），夸克扇区的CP破坏相位很大，与实验相符。此外，我们还预言（最多一阶因子）|J_lepton| ~ α_GUT ~ 4*10^（-2），轻子扇区的CP破坏相也很大。
英文摘要：
Recent work on F-theory GUTs has shown that the predicted masses, and magnitudes of the mixing matrix elements in the quark and lepton sectors are in close accord with experiment. In this note we estimate the CP violating phase of the mixing matrices by considering the Jarlskog invariant. We find by carefully treating certain cancellations in the computation of the Jarlskog invariant that |J_quark| ~ alpha_GUT^(3) ~ 6*10^(-5), and that the CP violating phase of the quark sector is large, in accord with experiment. Moreover, we predict (up to order one factors) that |J_lepton| ~ alpha_GUT ~ 4*10^(-2) and that the CP violating phase of the lepton sector is also large.
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