arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1201.0960hep-phhep-th
收藏

“软”强子截面挑战隐藏维度

"Soft" Hadronic Cross Sections Challenge Hidden Dimensions

Martin M. Block, Francis Halzen

摘要:

非弹性质子-质子截面的高能量测量,在LHC在$\sqrt s$ =7 TeV和俄歇在57 TeV,验证了以前的证据,从收集的数据在很宽的能量范围内,总的和非弹性截面的$pp$和$\bar pp$相互作用饱和的Froissart绑定的$\ln^2 s$。虽然这些数据本身并没有涵盖真正的渐近能量,但我们最近对这些数据的分析得到了渐近比$\sigin/\sigtot=0.509\pm 0.021$,与黑盘散射所需的1/2值一致;此外,对于$s\rightarrow \infty$,前向散射振幅变成了纯虚的,证实了黑盘解释。此外,限制黑盘行为已被独立证实的分析谢格尔斯基和Ryskin包括LHC数据的收缩的斜率的前向弹性散射截面。除非考虑到这些结果,出现从分析振幅分析的数据在能量范围内的$6\le \sqrt s\le 57000$ GeV,一个完整的数值事故,我们排除任何新的物理阈值,有助于更高的权力$\ln s$或更糟的是,权力$s$的能量依赖性的截面{ \it在任何能量}。这包括具有额外时空维度的理论,其存在受到挑战。

英文摘要:

High energy measurements of the inelastic proton-proton cross sections, at the LHC at $\sqrt s$=7 TeV and by Auger at 57 TeV, have validated previous evidence from data collected over a wide range of energies that the total and inelastic cross sections for $pp$ and $\bar pp$ interactions saturate the Froissart bound of $\ln^2 s$. Although the data themselves did not cover truly asymptotic energies, our recent analysis of these data obtained the asymptotic ratio $\sigin/\sigtot=0.509\pm 0.021$, consistent with the value of 1/2 required for scattering by a black disk; further, the forward scattering amplitude became purely imaginary for $s\rightarrow \infty$, confirming the black disk interpretation. In addition, the limiting black disk behavior has been independently confirmed by an analysis of Schegelsky and Ryskin including LHC data on the shrinkage of the slope of the forward elastic scattering cross section. Unless one considers these results, emerging from an analytic amplitude analysis of data over an energy range of $6\le \sqrt s\le 57000$ GeV, a complete numerical accident, we rule out any new physics thresholds that contribute higher powers of $\ln s$ or, worse, powers of $s$ to the energy dependence of cross sections {\it at any energy}. This includes theories with additional dimensions of space-time, whose existence is challenged.

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。

↑