论文标题
希格斯·希格斯（Higgs-Higgs）散射和（非）Higgsonium的存在
Higgs-Higgs scattering and the (non-)existence of the Higgsonium
论文作者
论文摘要
我们研究了Higgs-higgs散射过程以及在任何希格斯势中的希格斯·希格斯结合状态（higgsonium）的可能出现，并具有真空期望值，第二个导数匹配标准模型（SM）的相应值。从树级的希格斯 - 希格斯散射幅度中，我们使用两个不同的单位化方案（众所周知的壳和N/D方法）构建单位化振幅。我们重现了已知的结果，即SM中没有Higgsonium状态，此外，我们确定了在树级别和单位化时，我们确定了S-，D-和G-Wave SM散射长度。在此过程中，我们通过检查N/D方法的收敛性来完善先前的结果。接下来，我们扩展了非SM电位的计算，并在哪些条件下进行了接近Higgs-Higgs阈值的结合状态的形成。通过这种方式，不存在Higgsonium的假设，对自我相互作用参数的值施加了一定的界限，这些参数补充了真空稳定性条件所施加的界限。
We study the Higgs-Higgs scattering process and the possible emergence of a Higgs-Higgs bound state (Higgsonium) in any Higgs potential with the vacuum expectation value and second derivative matching the corresponding values from the Standard Model (SM). From the tree-level Higgs-Higgs scattering amplitude, we construct the unitarized amplitude using two different unitarization schemes (the well-known on-shell and N/D methods). We reproduce the known result that there is no Higgsonium state in the SM and, in addition, we determine the S-, D-, and G-wave SM scattering lengths, both at tree-level and upon unitarization. In doing so, we refine previous results by checking the convergence of the N/D approach. Next, we extend the calculation for non-SM potentials and investigate under which conditions a formation of a bound state close to the Higgs-Higgs threshold is possible. In this way, the assumption that no Higgsonium exist, imposes certain bounds on the values of the self-interaction parameters that complement those imposed by the vacuum stability condition.
