发表机构
Instituto de Física, Universidade Federal do Rio Grande do Sul（南里奥格兰德联邦大学物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过幺正性修饰，将弹性散射提取的胶子质量尺度从约300-400 MeV提升至约750-1100 MeV，揭示了多重交换动力学对红外尺度的重要影响。
AI 中文摘要
我们研究了$s$道幺正性对从高能弹性$pp$散射中提取的动力学胶子质量尺度$m_g$的影响。基本输入是Regge化的Landshoff--Nachtmann双胶子交换，其中软Pomeron由一对动力学有质量的胶子的色单态表示。在Born级，对数和幂律质量解给出$m_g=299$--$422~\MeV$，处于通常的唯象范围内。当相同的输入嵌入到eikonal和$U$-矩阵方案中时，优选值移至$m_g=749$--$1101~\MeV$。增强因子接近$2.5$，且对ATLAS--TOTEM数据选择、胶子质量的跑动以及幺正化方案均保持稳定。我们将这一移动归因于基本双胶子核与物理碰撞参数分布之间的非线性映射。因此，从弹性散射推断的尺度是一个幺正性修饰的红外尺度，由非微扰胶子传播子和多重交换动力学共同确定。
英文摘要
We examine how $s$-channel unitarization changes the dynamical gluon mass scale $m_g$ inferred from high-energy elastic $pp$ scattering. The Born input is the Reggeized Landshoff--Nachtmann exchange of two nonperturbative gluons in a color-singlet state. We fit the ATLAS and TOTEM forward data separately, using eikonal and $U$-matrix unitarizations with logarithmic and power-law running masses derived from Schwinger--Dyson analyses. At the common reference cut $|t|_{\rm max}=0.12~\GeV^2$, the Born fits give $m_g=297$--$427~\MeV$; the eikonal and $U$-matrix fits give $265$--$360~\MeV$ and $243$--$328~\MeV$, respectively. Unitarization changes the fitted values of the intercept parameter $ε$, $m_g$, and the exponential slope $a_1$ of the proton form factor together. Over $0.10\leq |t|_{\rm max}\leq0.14~\GeV^2$, the $U$-matrix parameters vary less with the cut, while the eikonal fits to TOTEM show a pronounced drift. Replacing the infrared continuation of the logarithmic effective charge by a Curci--Ferrari prescription changes $m_g$ by a mean absolute relative shift of $1.77\%$ over twenty comparisons, with a maximum of $2.17\%$. The inferred scale remains in the few-hundred-MeV region, but its fitted value depends on the nonperturbative input and on the unitarization prescription.
Comments11 pages, 5 figures, 3 tables. A normalization error in v1 has been corrected. This correction affects the numerical results and fitted parameters and has led to a substantial revision of the main conclusions. The results and conclusions of v1 are superseded by those presented in this version
