Abstract
The role of low-x parton dynamics in dictating the high-energy behavior of forward scattering observables at LHC energies is investigated using a QCD-based model with even-under-crossing amplitude dominance at high-energies. We explore the effects of different sets of pre- and post-LHC fine-tuned parton distributions on the forward quantities sigma _{tot} and rho , from pp and {bar{p}}p scattering in the interval 10 GeV–13 TeV. We also investigate the role of the leading soft contribution, the low-energy cuttoff, and the energy dependence of the semihard form factor on these observables. We show that in all cases investigated the highly restrictive data on rho parameter at sqrt{s}=13 TeV indicate that a crossing-odd component may play a crucial role in forward elastic scattering at the highest energies, namely the Odderon contribution.
Highlights
The elastic hadronic scattering at high energies represents a rather simple kinematic process
Two forward quantities play a fundamental role in the investigation of the elastic scattering at high energies, the total cross section and the ρ parameter, which can be expressed in terms of the scattering amplitude A(s, t) by σtot (s) = 4π Im A(s, t = 0), (1)
Real and imaginary parts of the eikonals can be connected either by derivative dispersion relations (DDR) [81,82,83,84,85,86] or Asymptotic Uniqueness (AU), which is based on the Phragmén–Lindelöff theorems [87,88]
Summary
The elastic hadronic scattering at high energies represents a rather simple kinematic process. The values of σtot are in consensus with the increase of previous measurements by TOTEM, the ρ values indicate a rather unexpected decrease, as compared with measurements at lower energies and predictions from the wide majority of phenomenological models This new information has originated a series of recent papers and discussions on possible phenomenological explanations for the rather small ρ-value. Reanalyzes of the differential cross section data from TOTEM [2], indicating results for σtot and ρ at 13 TeV different from the afore-quoted values (e.g., Pacetti, Srivastava, Pancheri [29], Kohara, Ferreira, Rangel [30], Cudell, Selyugin [31]) In this rather intricate scenario, we present here a phenomenological study on the forward pp and pp elastic scattering data in the region 10 GeV–13 TeV. Details on the analytical parametrization for the partonic cross section are presented in “Appendix A” and comments on data-set assumptions in “Appendix B”
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