SU（2）两种基本味的规范理论：一个建模的最小模板
SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
摘要：
本文研究了在基本表象中含有费米子味的$N_f=2$的SU（2）规范理论的连续谱。这个模型提供了一个最小的模板，这是理想的广泛的一类标准模型扩展具有新的强动力学，范围从复合（戈德斯通）希格斯理论的几个有趣的类型的暗物质候选人，如SIMPs。我们改进了我们以前的晶格分析[1]，增加了更多的数据，在轻夸克质量，在两个额外的晶格间距，通过确定晶格截断通过威尔逊流测量的$w_0$参数，并通过测量有关的重整化常数非微扰的RI '-ESTA计划。我们的结果为最轻的矢量和轴向通道中的等矢量状态，在单位的赝标衰变常数，是$m_V/F_{\rm{PS}}\sim 13.1(2.2)$和$m_A/F_{\rm{PS}}\sim 14.5(3.6)$（结合统计和系统误差）。在复合（戈德斯通）希格斯模型的背景下，我们的结果为自旋1共振是$m_V > 3.2(5)$ TeV和$m_A > 3.6(9)$ TeV，这是在目前的LHC的限制。在暗物质模型的上下文中，对于SIMP的情况下，我们的结果表明，在所需的大暗介子质量的压缩谱的发生，这意味着需要包括自旋共振的影响在唯象估计。
英文摘要：
We investigate the continuum spectrum of the SU(2) gauge theory with $N_f=2$ flavours of fermions in the fundamental representation. This model provides a minimal template which is ideal for a wide class of Standard Model extensions featuring novel strong dynamics that range from composite (Goldstone) Higgs theories to several intriguing types of dark matter candidates, such as the SIMPs. We improve our previous lattice analysis [1] by adding more data at light quark masses, at two additional lattice spacings, by determining the lattice cutoff via a Wilson flow measure of the $w_0$ parameter, and by measuring the relevant renormalisation constants non-perturbatively in the RI'-MOM scheme. Our results for the lightest isovector states in the vector and axial channels, in units of the pseudoscalar decay constant, are $m_V/F_{\rm{PS}}\sim 13.1(2.2)$ and $m_A/F_{\rm{PS}}\sim 14.5(3.6)$ (combining statistical and systematic errors). In the context of the composite (Goldstone) Higgs models, our result for the spin-one resonances are $m_V > 3.2(5)$ TeV and $m_A > 3.6(9)$ TeV, which are above the current LHC constraints. In the context of dark matter models, for the SIMP case our results indicate the occurrence of a compressed spectrum at the required large dark pion mass, which implies the need to include the effects of spin-one resonances in phenomenological estimates.
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