The structure of the three-boson bound state in Minkowski space is studied for a model with contact interaction. The Faddeev-Bethe-Salpeter equation is solved both in Minkowski and Euclidean spaces. The results are in fair agreement for comparable quantities, like the transverse amplitude obtained when the longitudinal constituent momenta of the light-front valence wave function are integrated out. The Minkowski space solution is obtained numerically by using a recently proposed method based on the direct integration over the singularities of the propagators and interaction kernel of the four-dimensional integral equation. The complex singular structure of the Faddeev components of the Bethe-Salpeter vertex function for space and time-like momenta in an example of a Borromean system is investigated in detail. Furthermore, the transverse amplitude is studied as a mean to access the double-parton transverse momentum distribution. Following that, we show that the two-body short-range correlation contained in the valence wave function is evidenced when the pair has a large relative momentum in a back-to-back configuration, where one of the Faddeev components of the Bethe-Salpeter amplitude dominates over the others. In this situation a power-law behavior is derived and confirmed numerically.
Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
本文给出并讨论了我们最近提出的用于欧几里德区域的QCD观测量的分数阶解析微扰理论(FAPT)的Minkowski版本。最初的分析方法QCD,发起的Shirkov和Solovtsov,进行了总结和其他建议的关系,以实现分析强耦合指出。所开发的框架适用于希格斯玻色子衰变成b \bar{b}对,使用最近的结果为无质量相关的两个夸克标量电流的\bar{MS}计划。我们给出了MFAPT中衰变宽度的计算,包括了O(α s ^{3})项的非幂级数贡献,同时考虑了运行耦合和b夸克质量重整化的演化效应.与标准QCD微扰理论的结果进行了比较,并指出了不同之处。源自解析性的要求和解析的延续从类空到类时的区域和那些由于重夸克质量的演化的影响之间的相互作用的解决,突出了传统的QCD微扰理论的差异。
Two-body and Three-body Contacts for Identical Bosons near Unitarity
在最近的超冷囚禁Rb-85原子的实验中,Makotyn等人研究了量子简并玻色气体在幺正极限下的散射长度无限大。我们发现,所观察到的动量分布是兼容的一个普遍的关系,表示高动量尾巴的2体和3体接触。我们确定了数密度n约为20 n ^{4/3}和2 n ^{5/3}的幺正玻色气体的两体和三体接触密度。我们还表明,所观察到的原子损失率与3原子非弹性碰撞的损失率是一致的,它的贡献与三体接触成正比,但与2原子非弹性碰撞的损失率是不一致的,它的贡献与2体接触成正比.指出在么正性附近和么正性处利用维里定理可以独立地测量接触。
New Physics in $e^+e^- \rightarrow Z γ$ at the ILC with polarized beams: Explorations beyond conventional anomalous triple gauge boson coupling
在正负电子碰撞中规范玻色子产生的标准模型之外,研究最多的物理信号之一是由于$Z γ$末态的反常三重规范玻色子耦合。在这项工作中,我们研究的影响,这在ILC与偏振光束的信号,超越传统的异常三重中性规范玻色子耦合。在这里,我们报告了一个8维CP保存$Z γZ$顶点,还没有发现在文献中提到。我们进行了系统的研究,在一般条款的异常耦合,并得出一个分类。然后,我们得到的线性顺序分布和没有CP破坏。此外,我们把研究的背景下,一般BSM的相互作用代表的$e^+e^- Z γ$接触相互作用。我们建立了三重规范玻色子耦合与四点接触相互作用之间的对应关系。我们还提出了对这些异常耦合的敏感性,这将是在ILC与现实的偏振和光度。