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arXiv 2109.01630hep-phnucl-th
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强CP问题的最小奇偶解成立吗?

Do Minimal Parity Solutions to the Strong CP Problem Work?

Jordy de Vries, Patrick Draper, Hiren H. Patel

摘要:

强CP问题的一类解依赖于广义宇称对称。由Babu和Mohapatra构造的基于软破缺宇称对称性的这类极小模型具有显著的性质,即有效QCD真空角$\barθ$直到一圈阶为零。在这个模型中,我们计算了前导双环对$\barθ$的贡献,并估计了子前导贡献。与以前的估计相反,我们认为,$\bar θ$是不抑制的弱规模,我们发现的贡献,以$10^{-3}$ - $10^{-2}$乘以未知的混合角和相位。因此,该模型一般不解决强CP问题,但在参数空间的某些角落,它可能与$\barθ<10^{-10}$一致。对于这样的非通用参数,$\barθ$仍然有可能只是低于目前的界限,因此提供了强子EDM的主要来源。我们讨论由此产生的电火花加工现象。

英文摘要:

One class of solutions to the strong CP problem relies on generalized parity symmetries. A minimal model of this type, constructed by Babu and Mohapatra and based on a softly broken parity symmetry, has the remarkable property that effective QCD vacuum angle $\barθ$ vanishes up to one-loop order. We compute the leading two-loop contributions to $\barθ$ in this model and estimate subleading contributions. In contrast to previous estimates, we argue that $\bar θ$ is not suppressed by the weak scale, and we find contributions of order $10^{-3}$-$10^{-2}$ multiplying unknown mixing angles and phases. Thus the model does not generically address the strong CP problem, but it might be made consistent with $\barθ<10^{-10}$ in some corners of parameter space. For such non-generic parameters, $\barθ$ is still likely to be just below present bounds, and therefore provides the dominant source of hadronic EDMs. We discuss the resulting EDM phenomenology.

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