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arXiv 1905.01909hep-lathep-ph
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$m_\varrho / f_π$的风味依赖性

The flavor dependence of $m_\varrho / f_π$

Daniel Nogradi, Lorinc Szikszai

摘要:

本文计算了在基本表象中耦合到$N_f = 2,3,4,5,6$费米子的$SU(3)$规范理论在手征极限和连续极限下的$m_\varrho / f_π$比。在完全控制所有系统效应的情况下,我们未发现统计学显著的$N_f$依赖性; $m_\varrho / f_π= 7.95(15)$。在KSRF关系式的假设下,我们得出结论:与矢量介子有关的另外3个低能量在误差范围内也是$N_f$无关的,包括$\varrhoππ$耦合$g_{\varrhoππ}$ .如果该模型被认为是一个强动力学启发的复合希格斯模型,我们的研究结果表明,实验上最容易获得的新的复合粒子,矢量介子,它的属性可能是强大的和独立的费米子内容的模型,只要规范群是$SU(3)$,只要$N_f$ -独立性延伸到共形窗口。

英文摘要:

We calculate the $m_\varrho / f_π$ ratio in the chiral and continuum limit for $SU(3)$ gauge theory coupled to $N_f = 2,3,4,5,6$ fermions in the fundamental representation. Keeping all systematic effects under full control we find no statistically significant $N_f$-dependence; $m_\varrho / f_π= 7.95(15)$. Assuming the KSRF-relations we conclude that 3 other low energy quantities related to the vector meson are also $N_f$-independent within errors including the $\varrhoππ$ coupling $g_{\varrhoππ}$. If the model is thought of as a strong dynamics inspired composite Higgs model our results indicate that the experimentally most easily accessible new composite particle, the vector meson, and its properties may be robust and independent of the fermion content of the model as long as the gauge group is $SU(3)$, provided $N_f$-independence extends all the way to the conformal window.

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