arXiv 1311.31332013-11hep-ph

高能强子总截面和QCD谱

Hadronic total cross sections at high energy and the QCD spectrum

Matteo Giordano, Enrico Meggiolaro

备注：: Revised version; 43 pages, 3 figures
发表信息：: JHEP 03 (2014) 002
DOI：: 10.1007/JHEP03(2014)002

摘要：

在基于Wilson环关联函数的软高能散射的非微扰方法的框架下，在满足一定的非平凡解析性假设的条件下，给出了如何得到强子总截面的主导能量依赖关系.总的截面结果是“Froissart”型，${s \to \infty}$为$σ_{\rm tot}^{(hh)}(s) \mathop\sim B\log^2 s$。我们还讨论了在什么条件下系数$B$是普适的，即，与散射过程中的强子无关。在最自然的普适性假设中，$B$可以与QCD的稳定谱相关联，并被预测为$B_{\rm th}\simeq 0.22~{\rm mb}$，与实验结果相当一致。相反，如果我们考虑猝灭的稳定光谱（即，纯规范）理论，我们得到了一个相当大的值$B^{(Q)}_{\rm th} \ge 0.42~{\rm mb}$，这表明（相当令人惊讶的）大的非猝灭效应，由于海夸克。

英文摘要：

We show how to obtain the leading energy dependence of hadronic total cross sections, in the framework of the nonperturbative approach to soft high-energy scattering based on Wilson-loop correlation functions, if certain nontrivial analyticity assumptions are satisfied. The total cross sections turn out to be of "Froissart" type, $σ_{\rm tot}^{(hh)}(s) \mathop\sim B\log^2 s$ for ${s \to \infty}$. We also discuss under which conditions the coefficient $B$ is universal, i.e., independent of the hadrons involved in the scattering process. In the most natural scenarios for universality, $B$ can be related to the stable spectrum of QCD, and is predicted to be $B_{\rm th}\simeq 0.22~{\rm mb}$, in fair agreement with experimental results. If we consider, instead, the stable spectrum of the quenched (i.e., pure-gauge) theory, we obtain a quite larger value $B^{(Q)}_{\rm th} \ge 0.42~{\rm mb}$, suggesting (quite surprisingly) large unquenching effects due to the sea quarks.

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