Higgs-Stoponium在Stop-Antistop阈值附近的混合
Higgs-Stoponium Mixing Near the Stop-Antistop Threshold
摘要：
标准模型的超对称扩展包含了额外的重中性希格斯玻色子玻色子，它们与重标量顶夸克耦合。当希格斯质量接近停止-反停止产生阈值时，该系统表现出有趣的场论现象。现有的文献中的工作已经检查了双重子到双光子的截面阈值附近，并已集中在截面的增强，可能会出现从微扰贡献的希格斯到双重子和希格斯到双光子形状因子或从混合的希格斯玻色子与stoponium状态。在阈值附近，增强的相关振幅，去作为逆功率的停止-antistop相对速度需要的微扰理论和/或非微扰治疗的expansionations。根据非相对论有效场论，给出了停-反停相对速度中首阶阈值效应的完整表达式。我们给出了详细的数值计算的情况下，停止antistop格林函数建模与库仑薛定谔格林函数。我们发现几个一般的效果，不出现在一个纯粹的微扰治疗。Higgs-stop-antistop混合效应将物理质量从阈值区域转移，从而使微扰阈值增强成为可能。在大的希格斯-停止-反停止耦合的情况下，物理状态在阈值以上的位移由于其到停止-反停止对的衰减宽度而大大增加了其宽度，并大大减少了其对截面的贡献。
英文摘要：
Supersymmetric extensions of the standard model contain additional heavy neutral Higgs bosons that are coupled to heavy scalar top quarks (stops). This system exhibits interesting field theoretic phenomena when the Higgs mass is close to the stop-antistop production threshold. Existing work in the literature has examined the digluon-to-diphoton cross section near threshold and has focused on enhancements in the cross section that might arise either from the perturbative contributions to the Higgs-to-digluon and Higgs-to-diphoton form factors or from mixing of the Higgs boson with stoponium states. Near threshold, enhancements in the relevant amplitudes that go as inverse powers of the stop-antistop relative velocity require resummations of perturbation theory and/or nonperturbative treatments. We present a complete formulation of threshold effects at leading order in the stop-antistop relative velocity in terms of nonrelativistic effective field theory. We give detailed numerical calculations for the case in which the stop-antistop Green's function is modeled with a Coulomb-Schrödinger Green's function. We find several general effects that do not appear in a purely perturbative treatment. Higgs-stop-antistop mixing effects displace physical masses from the threshold region, thereby rendering the perturbative threshold enhancements inoperative. In the case of large Higgs-stop-antistop couplings, the displacement of a physical state above threshold substantially increases its width, owing to its decay width to a stop-antistop pair, and greatly reduces its contribution to the cross section.
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