arXiv 1703.074862017-03hep-phhep-ex

根据LHC7和LHC8数据确定总截面上升的界限

Bounds on the rise of total cross section from LHC7 and LHC8 data

D. A. Fagundes, M. J. Menon, P. V. R. G. Silva

备注：: 14 pages, 3 figures, 6 tables, one appendix added (discussing some TOTEM data at 8 TeV), minor corrections, few comments added. Matches version accepted for publication in Nucl. Phys. A
DOI：: 10.1016/j.nuclphysa.2017.06.057

摘要：

最近的测量质子-质子总截面$σ_{tot}$在7和8 TeV的TOTEM和ATLAS合作的特点是一些不一致的值：TOTEM数据表明的截面的能量上升速度比ATLAS数据。试图量化这些不同的行为，我们开发新的分析适合$σ_{tot}$和$ρ$数据从$pp$和$\bar{p}p$散射的能量区域5 GeV - 8 TeV。该数据集包括所有低于7 TeV的加速器数据，我们通过添加考虑三个集合：仅TOTEM数据（T），或仅ATLAS数据（A），或两个集合（T+A）。为此，我们使用我们以前的RRPL $γ$参数化$σ_{tot}(s)$，由两个Reggeons（RR），一个临界Pomeron（P）和领先的对数提高到伽马（L $γ$）的贡献（$γ$作为自由拟合参数），分析连接到$ρ(s)$通过单减导数色散关系和能量尺度固定在物理阈值。与系综T和A的数据减少与分析的实验数据呈现良好的一致性，并且不能在统计上区分。配合的质量不如合奏T+A。拟合结果提供了$γ\sim 2.3 \pm 0.1$（T）、$2.0 \pm 0.2$（A）、$2.1 \pm 0.2$（T+A），以及$χ^2/\mathrm{DOF} \sim 1.07$（T）、$1.09$（A）、$1.14$（T+A），表明$γ$的极值界限为1.8和2.4。与$γ= 2$（固定）配合也开发和讨论。

英文摘要：

Recent measurements of the proton-proton total cross section $σ_{tot}$ at 7 and 8 TeV by the TOTEM and ATLAS Collaborations are characterized by some discrepant values: the TOTEM data suggest a rise of the cross section with the energy faster than the ATLAS data. Attempting to quantify these different behaviors, we develop new analytical fits to $σ_{tot}$ and $ρ$ data from $pp$ and $\bar{p}p$ scattering in the energy region 5 GeV - 8 TeV. The dataset comprises all the accelerator data below 7 TeV and we consider three ensembles by adding: either only the TOTEM data (T), or only the ATLAS data (A), or both sets (T+A). For the purposes, we use our previous RRPL$γ$ parametrization for $σ_{tot}(s)$, consisting of two Reggeons (RR), one critical Pomeron (P) and a leading log-raised-to-gamma (L$γ$) contribution (with $γ$ as a free fit parameter), analytically connected to $ρ(s)$ through singly-subtracted derivative dispersion relations and energy scale fixed at the physical threshold. The data reductions with ensembles T and A present good agreement with the experimental data analyzed and cannot be distinguished on statistical grounds. The quality of the fit is not as good with ensemble T+A. The fit results provide $γ\sim 2.3 \pm 0.1$ (T), $2.0 \pm 0.2$ (A), $2.1 \pm 0.2$ (T+A), with $χ^2/\mathrm{DOF} \sim 1.07$ (T), $1.09$ (A), $1.14$ (T+A), suggesting extrema bounds for $γ$ given by 1.8 and 2.4. Fits with $γ= 2$ (fixed) are also developed and discussed.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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