Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector

Abstract

A measurement of the total $pp$ cross section at the LHC at $\sqrt{s}=8$ TeV is presented. An integrated luminosity of $500$ $\mu$b${}^{-1}$ was accumulated in a special run with high-${\beta }^{\star }$ beam optics to measure the differential elastic cross section as a function of the Mandelstam momentum transfer variable $t$. The measurement is performed with the ALFA sub-detector of ATLAS. Using a fit to the differential elastic cross section in the $-t$ range from $0.014$ GeV${}^2$ to $0.1$ GeV${}^2$ to extrapolate $t\to 0$, the total cross section, ${\sigma }_{\mathrm{tot}}(pp\to X)$, is measured via the optical theorem to be: ${\sigma }_{\mathrm{tot}}(pp\to X)=96.07\pm 0.18(stat.)\pm 0.85(exp.)\pm 0.31(extr.)mb,$ where the first error is statistical, the second accounts for all experimental systematic uncertainties and the last is related to uncertainties in the extrapolation $t\to 0$. In addition, the slope of the exponential function describing the elastic cross section at small $t$ is determined to be $B=19.74\pm 0.05(stat.)\pm 0.23(syst.){GeV}^{-2}$.

17 pages plus author list + cover page (35 pages total), 4 figures, 2 tables, submitted to PLB. All figures including auxiliary figures are available at https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PAPERS/STDM-2015-22/

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