Soft Pomeron in light of the LHC correlated data

Abstract

The LHC has released precise measurements of elastic proton-proton scattering that provide a unique constraint on the asymptotic behavior of the scattering amplitude at high energies. Recent reanalyses of part of these data indicate that the central values of some forward quantities would be different than initially observed. We introduce correlation information between the original and the reanalyzed data sets in a way suitable for a global fitting analysis of all data. The careful treatment of correlated errors leads to much less stringent limits on the $\rho$ uncertainty and sets up the stage for describing the forward data using a scattering amplitude dominated by only crossing-even terms. In the light of these correlated data we determine the parameters of the soft Pomeron from the Regge theory. We use Born-level and eikonalized amplitudes. In the Born-level case we estimate the contribution of the double Pomeron exchange, while in the latter case we investigate the role of the eikonalization in both the one- and two-channel models. The role of the proton-Pomeron vertex form and of the nearest $t$-channel singularity in the Pomeron trajectory receives particular attention. We discuss the implications of our results and present predictions for the total cross section and the $\rho$ parameter in proton-proton collisions at LHC and cosmic ray energies.

arXiv comment17 pages, 6 figures, 5 tables, minor typos fixed. Version to be published in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1908.01040

References in corpus (67)

• Total cross sections
• First measurement of the total proton-proton cross section at the LHC energy of {\surd} s =7 TeV
• Measurement of the proton-air cross-section at $\sqrt{s}=57$ TeV with the Pierre Auger Observatory
• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• A New Odderon Solution in Perturbative QCD
• Soft diffraction and the elastic slope at Tevatron and LHC energies: a multi-Pomeron approach
• Can the Higgs be seen in rapidity gap events at the Tevatron or the LHC?
• Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=7$ TeV with the ATLAS detector
• Evidence for non-exponential elastic proton-proton differential cross-section at low |t| and sqrt(s) = 8 TeV by TOTEM
• Proton-proton elastic scattering at the LHC energy of {\surd} = 7 TeV
• Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Measurement of Elastic pp Scattering at $\sqrt{s}$ = 8 TeV in the Coulomb-Nuclear Interference Region - Determination of the $\rho$-Parameter and the Total Cross-Section
• Perturbative Odderon in the Dipole Model
• Elastic differential cross-section measurement at $\sqrt{s}=13$ TeV by TOTEM
• Did TOTEM experiment discover the Odderon?
• Large Rapidity Gaps in PP Collisions
• Bounds on the Soft Pomeron Intercept
• $pp$ and $\bar{p}p$ total cross sections and elastic scattering
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Black disk, maximal Odderon and unitarity
• A theorem on the real part of the high-energy scattering amplitude near the forward direction
• Glueball spectra and Regge trajectories from a modified holographic softwall model
• Measurement of the Proton-Air Cross Section with Telescope Array's Middle Drum Detector and Surface Array in Hybrid Mode
• Elastic and diffractive scattering at the LHC
• Elastic proton-proton scattering at 13 TeV
• Hollowness in $pp$ and $p\bar{p}$ scattering in a Regge model
• Diffractive dissociation re-visited for predictions at the LHC
• Elastic pp scattering from the optical point to past the dip: an empirical parametrization from ISR to LHC
• Odderon and proton substructure from a model-independent Levy imaging of elastic $pp$ and $p\bar{p}$ collisions
• Dynamical corrections to the anomalous holographic softwall model: the pomeron and the odderon
• Evidence for maximality of strong interactions from LHC forward data
• Towards a complete study of central exclusive production of $K^{+}{K}^{-}$ pairs in proton-proton collisions within the tensor Pomeron approach
• Interpretation of the measurements of total, elastic and diffractive cross sections at LHC
• Odd spin glueball masses and the odderon Regge trajectories from the holographic hardwall model
• Soft Pomerons and the Forward LHC Data
• Pomeron and Odderon Regge Trajectories from a Dynamical Holographic Model
• Analytic models and forward scattering from accelerator to cosmic-ray energies
• Multiple Parton Interactions in Hadron Collisions and Diffraction
• Soft Pomeron in Holographic QCD
• The Phillips - Barger model for the elastic cross section and the Odderon
• Extrema bounds for the soft Pomeron intercept
• A Two Channel Calculation of Screening Corrections
• Analysis and implications of precision near-forward TOTEM data
• Forward Elastic Scattering and Pomeron Models
• CGC/saturation approach: secondary Reggeons and $\rho =Re/Im$ dependence on energy
• The Size Seems to Matter or Where Lies the "Asymptopia"?
• Shape of Proton and the Pion Cloud
• Searching for the Odderon in Ultraperipheral Proton--Ion Collisions at the LHC
• Twist Two Operator Approach for Even Spin Glueball Masses and Pomeron Regge Trajectory from the Hardwall Model
• Soft diffraction at the LHC and properties of the Pomeron
• An analysis on extrema and constrained bounds for the soft Pomeron intercept
• Could reggeon field theory be an effective theory for QCD in the Regge limit?
• Pomeron - Odderon interactions in a reggeon field theory
• Real part of $pp$ scattering amplitude in Additive Quark Model at LHC energies
• QCD Odderon: non linear evolution in the leading twist
• Implications of the $\rho (s)$ measurements by TOTEM at the LHC
• The possibility that the triple-Pomeron coupling vanishes at q_t=0
• Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics
• Proton-proton forward scattering at the LHC
• Two-Pomeron eikonal approximation for the high-energy EDS of nucleons
• The new elastic scattering measurements of TOTEM --- are there hints for asymptotics?
• Black disk radius constrained by unitarity
• Structure of Forward pp and pp Elastic Amplitudes at Low Energies
• Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics: an Update
• A model of diffractive excitation in $pp$ collisions at high energies
• Beyond the black disk limit: from shadow to antishadow scattering mode
• The Odderon in QCD with running coupling