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Evidence for non-exponential elastic proton–proton differential cross-section at low |t| and $\sqrt{s}$=8 TeV by TOTEM

The TOTEM collaboration
Nucl.Phys.B 899 (2015) 527-546, 2015.

Abstract (data abstract)
CERN-LHC. The TOTEM experiment has made a precise measurement of the elastic proton-proton differential cross-section at the centre-of-mass energy $\sqrt{s}$ = 8 TeV based on a high-statistics data sample obtained with the $\beta^*$ = 90 m optics. Both the statistical and systematic uncertainties remain below 1%, except for the $t$-independent contribution from the overall normalisation. This unprecedented precision allows to exclude a purely exponential differential cross-section in the range of four-momentum transfer squared 0.027 < |$t$| < 0.2 GeV^2 with a significance greater than 7 $\sigma$. Two extended parametrisations, with quadratic and cubic polynomials in the exponent, are shown to be well compatible with the data. Using them for the differential cross-section extrapolation to $t$ = 0, and further applying the optical theorem, yields total cross-section estimates of (101.5 +- 2.1) mb and (101.9 +- 2.1) mb, respectively, in agreement with previous TOTEM measurements.

  • Table 1

    Data from Table 3


    The elastic differential cross-section as determined in this analysis using the ''optimised'' binning.

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