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The TOTEM experiment has made a precise measurement of the elasticproton-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* = 90optics. Both the statistical and systematic uncertainties remain below 1%,except for the t-independent contribution from the overall normalisation. Thisunprecedented precision allows to exclude a purely exponential differentialcross-section in the range of four-momentum transfer squared 0.027 < |t| < 0.2GeV^2 with a significance greater than 7 sigma. Two extended parametrisations,with quadratic and cubic polynomials in the exponent, are shown to be wellcompatible with the data. Using them for the differential cross-sectionextrapolation to t = 0, and further applying the optical theorem, yields totalcross-section estimates of (101.5 +- 2.1) mb and (101.9 +- 2.1) mb,respectively, in agreement with previous TOTEM measurements.

Evidence for non-exponential elastic proton-proton differential cross-section at low |t| and sqrt(s) = 8 TeV by TOTEM