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arXiv 0903.0782hep-phhep-lat
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O(p^6)的π π散射长度

Pi pi scattering lengths at O(p^6) revisited

Zhi-Hui Guo, J. J. Sanz-Cillero

摘要:

本文完成了前人对π π散射中部分O(p^6)低能常数的估算工作。在以前的计算中遗漏了一些共振贡献,并且我们的结果出现了轻微的差异。在这里,我们提供了所有贡献O(p^6)耦合的完整结果。我们还进行了重新分析的强子输入用于估计(共振质量,宽度.)。同时检验了它们的可靠性以及输入不确定度对手征耦合和散射长度a^I_J的影响。我们的结果与前人的结果一致,但误差稍大。然而,在将它们与其他不确定性组合之后,对a^I_J的最终值的影响可以忽略。基于这种一致性,我们得出结论,先前的散射长度测定似乎是相当可靠和可靠的,cO(p^6)低能常数完全在控制之下。尽管如此,目前工作中发现的不确定性指出了进一步改进的局限性,除非适当提高O(p^6)耦合的精度。

英文摘要:

This article completes a former work where part of the O(p^6) low-energy constants entering in the pi pi scattering were estimated. Some resonance contributions were missed in former calculations and slight differences appeared with respect to our outcome. Here, we provide the full results for all the contributing O(p^6) couplings. We also perform a reanalysis of the hadronic inputs used for the estimation (resonance masses, widths...). Their reliability was checked together with the impact of the input uncertainties on the determinations of the chiral couplings and the scattering lengths a^I_J. Our outcome is found in agreement with former works though with slightly larger errors. However, the effect in the final values of the a^I_J is negligible after combining them with the other uncertainties. Based on this consistency, we conclude that the previous scattering length determinations seem to be rather solid and reliable, with the cO(p^6) low-energy constants quite under control. Nevertheless, the uncertainties found in the present work point out the limitation on further improvements unless the precision of the O(p^6) couplings is properly increased.

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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