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arXiv 1502.05981hep-phhep-lat
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粲介子与Goldstone玻色子相互作用的单圈分析

One-loop analysis of the interactions between charmed mesons and Goldstone bosons

De-Liang Yao, Meng-Lin Du, Feng-Kun Guo, Ulf-G. Meißner

摘要:

在协变的手征有效场论中,利用扩展的质量壳重整化方法,导出了手征对称性Goldstone玻色子与赝标粲介子的散射振幅.然后,我们使用么正化手征微扰理论来拟合S波散射长度的晶格数据。晶格数据被很好地描述。然而,大多数的低能常数确定的拟合承担很大的不确定性。在更多的通道中的晶格模拟是必要的,以确定这些值,然后可以用来预测手征和重夸克对称性相关的其他过程。

英文摘要:

We derive the scattering amplitude for Goldstone bosons of chiral symmetry off the pseudoscalar charmed mesons up to leading one-loop order in a covariant chiral effective field theory, using the so-called extended-on-mass-shell renormalization scheme. Then we use unitarized chiral perturbation theory to fit to the available lattice data of the S-wave scattering lengths. The lattice data are well described. However, most of the low-energy constants determined from the fit bear large uncertainties. Lattice simulations in more channels are necessary to pin down these values which can then be used to make predictions in other processes related by chiral and heavy quark symmetries.

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