论文标题
在晶格上复合希格斯模型中金石玻色子和共振产生的散射
Scattering of Goldstone Bosons and resonance production in a Composite Higgs model on the lattice
论文作者
论文摘要
我们计算了vector共振与两个$ su（2）$ gauge理论中的两个戈德斯通玻色之间的耦合，其基本表示中的$ n_f = 2 $ dirac fermions。被考虑的理论可用于构建最小的复合希格斯模型。该耦合与矢量共振的宽度有关，我们通过模拟产生共振的两个金石玻色子的散射来确定它。生成的耦合为$ g _ {\ rm {vpp}} = 7.8 \ pm 0.6 $，距qcd中的$ g_ {ρππ} \ simeq 6 $不远。这是最小紫外线完成的共振属性的第一个晶格计算。该耦合控制着LHC处最轻的预期共振的生产横截面，并进入了标准模型的其他测试，从向量玻色融合到Electroweak Precision测试。我们的预测对于使用晶格输入来限制模型至关重要，以及理解媒介膜生产横截面的行为，这是基础仪表理论的函数。我们还提取$ g _ {\ rm {vpp}}}^{\ rm {ksrf}} = 9.4 \ pm 0.6 $假设矢量占主导地位，并发现此现象学估计略微高估了耦合的值。
We calculate the coupling between a vector resonance and two Goldstone bosons in $SU(2)$ gauge theory with $N_f=2$ Dirac fermions in the fundamental representation. The considered theory can be used to construct a minimal Composite Higgs models. The coupling is related to the width of the vector resonance and we determine it by simulating the scattering of two Goldstone bosons where the resonance is produced. The resulting coupling is $g_{\rm{VPP}}=7.8\pm 0.6$, not far from $g_{ρππ}\simeq 6$ in QCD. This is the first lattice calculation of the resonance properties for a minimal UV completion. This coupling controls the production cross section of the lightest expected resonance at the LHC and enters into other tests of the Standard Model, from Vector Boson Fusion to electroweak precision tests. Our prediction is crucial to constrain the model using lattice input and for understanding the behavior of the vector meson production cross section as a function of the underlying gauge theory. We also extract the coupling $g_{\rm{VPP}}^{\rm{KSRF}} =9.4 \pm 0.6$ assuming the vector-dominance and find that this phenomenological estimate slightly overestimates the value of the coupling.
