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The Possibility of New Physics in pp Elastic Scattering at LHC

Modern models of high energy elastic hadron-hadron scattering predict an oscillation character of differential cross sections at the LHC energy of 14 TeV and at a sufficiently high momentum transfer. The Totem collaboration did not see the oscillations at 7 TeV. According to some predictions, the oscillations are weak at 7 TeV in the studied 4-momentum transfer range (|t|< 2.5 GeV$^2$). They may be beyond the range of the experiment. But a direct extension of the Totem collaboration data on the pp-scattering at 7 TeV above |t|\sim 2.5 GeV$^2$ contradicts previous measurements. Thus the collaboration can discover either the oscillations at large |t| or a change of the differential cross section behavior in the high |t| region (|t|> 2.5 GeV$^2$).