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arXiv 1407.3750hep-ph
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耦合道介子-介子散射中的大$N_c$自然度

Large-$N_c$ naturalness in coupled-channel meson-meson scattering

T. Ledwig, J. Nieves, A. Pich, E. Ruiz Arriola, J. Ruiz de Elvira

摘要:

用有效场论技术分析强子相互作用时,由于出现大量低能常数而变得复杂,这些常数通常是与数据拟合的。另一方面,大- $N_c$限制对这些低能量常数施加自然短距离约束,提供参数减少。预期的$1/N_c$准确度的贝叶斯解释允许使用增强的$χ^2$来容易且有效地实现这些约束。我们应用这种方法的介子介子散射的分析,结合手征微扰理论的一个循环和耦合通道么正性,并表明,它有助于大大减少许多现有的模糊性,同时提供了一个可接受的描述可用的相移。

英文摘要:

The analysis of hadronic interactions with effective field theory techniques is complicated by the appearance of a large number of low-energy constants, which are usually fitted to data. On the other hand, the large-$N_c$ limit imposes natural short-distance constraints on these low-energy constants, providing a parameter reduction. A Bayesian interpretation of the expected $1/N_c$ accuracy allows for an easy and efficient implementation of these constraints, using an augmented $χ^2$. We apply this approach to the analysis of meson-meson scattering, in conjunction with chiral perturbation theory to one loop and coupled-channel unitarity, and show that it helps to largely reduce the many existing ambiguities and simultaneously provide an acceptable description of the available phase shifts.

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。

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