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

The ATLAS collaboration
Phys.Lett. B761 (2016) 158-178, 2016

Abstract (data abstract)
CERN-LHC. 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 $t\rightarrow 0$, the total cross section, $\sigma_{\mathrm{tot}}(pp\rightarrow X)$, is measured via the optical theorem to be: $\sigma_{\mathrm{tot}}(pp\rightarrow X) = \mbox{96.07} \; \pm 0.18 \; ({\mbox{stat.}}) \pm 0.85 \; ({\mbox{exp.}}) \pm 0.31 \; (\mbox{extr.}) \; \mbox{mb} \;,$ where the first error is statistical, the second accounts for all experimental systematic uncertainties and the last is related to uncertainties in the extrapolation $t\rightarrow 0$. In addition, the slope of the exponential function describing the elastic cross section at small $t$ is determined to be $B = 19.74 \pm 0.05 \; ({\mbox{stat.}}) \pm 0.23 \; ({\mbox{syst.}}) \; \mbox{GeV}^{-2}$.

  • Table 1

    Data from EQUATION 10


    The measured total cross section, the first systematic error accounts for all experimental uncertainties and the second error for the...

  • Table 2

    Data from EQUATION 11


    The nuclear slope of the differential eslastic cross section at small |t|, the first systematic error accounts for all experimental...

  • Table 3

    Data from SECTION 6


    The total elastic cross section and the observed elastic cross section within the fiducial volume.

  • Table 4

    Data from SECTION 6


    The total inelastic cross section.

  • Table 5

    Data from Table 1


    The measured differential elastic cross section. In addition to the statistical and total systematic uncertainties, the following 22 systematic shifts...

  • Table 6

    Data from Additional material


    The statistical covariance matrix for the differential elastic cross section.

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