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The scaling Pomeron

R. Peschanski, B. G. Giraud

Abstract

We examine the Regge theoretical properties for the scaling observed in pp elastic scattering differential cross-sections at the LHC. A positive signature amplitude (i.e. the Pomeron) with scaling properties has been derived. It is found to describe the dip-bump region of momentum transfer at LHC energies in agreement with data. We derive the analytic continuation in the whole plane of the t-channel partial waves of index $l_t$ specific to the Regge formalism. The analytic form of the amplitude exhibits a specific scaling property without singularities, except for a series of poles in the $l_t$ real axis at fractional values.

The scaling Pomeron

Abstract

We examine the Regge theoretical properties for the scaling observed in pp elastic scattering differential cross-sections at the LHC. A positive signature amplitude (i.e. the Pomeron) with scaling properties has been derived. It is found to describe the dip-bump region of momentum transfer at LHC energies in agreement with data. We derive the analytic continuation in the whole plane of the t-channel partial waves of index specific to the Regge formalism. The analytic form of the amplitude exhibits a specific scaling property without singularities, except for a series of poles in the real axis at fractional values.

Paper Structure

This paper contains 6 sections, 20 equations, 1 figure.

Table of Contents

  1. 1. Scaling proton-proton scattering amplitudes
  2. 2. Scaling amplitudes with positive signature (Pomeron)
  3. 3. Regge formalism: Determination of the t-channel partial waves
  4. Highlights
  5. Appendix: Proof of relation \ref{['secondform']}
  6. Acknowledgements

Figures (1)

  • Figure 1: Scaling Pomeron vs. TOTEM data (from experts). Both the fit using Eq.\ref{['amplifitregge']} and TOTEM data are displayed on the scaling plot $\log (s^{-\alpha} d\sigma/dt)\ vs.\ t^{**}$.