Soft Pomerons and the Forward LHC Data

Abstract

Recent data from LHC13 by the TOTEM Collaboration on ${\sigma }_{tot}$ and $\rho$ have indicated disagreement with all the Pomeron model predictions by the COMPETE Collaboration (2002). On the other hand, as recently demonstrated by Martynov and Nicolescu (MN), the new ${\sigma }_{tot}$ datum and the unexpected decrease in the $\rho$ value are well described by the maximal Odderon dominance at the highest energies. Here, we discuss the applicability of Pomeron dominance through fits to the \textit{most complete set} of forward data from $pp$ and $\bar{p}p$ scattering. We consider an analytic parametrization for ${\sigma }_{tot}(s)$ consisting of non-degenerated Regge trajectories for even and odd amplitudes (as in the MN analysis) and two Pomeron components associated with double and triple poles in the complex angular momentum plane. The $\rho$ parameter is analytically determined by means of dispersion relations. We carry out fits to $pp$ and $\bar{p}p$ data on ${\sigma }_{tot}$ and $\rho$ in the interval 5 GeV - 13 TeV (as in the MN analysis). Two novel aspects of our analysis are: (1) the dataset comprises all the accelerator data below 7 TeV and we consider \textit{three independent ensembles} by adding: either only the TOTEM data (as in the MN analysis), or only the ATLAS data, or both sets; (2) in the data reductions to each ensemble, uncertainty regions are evaluated through error propagation from the fit parameters, with 90 \% CL. We argument that, within the uncertainties, this analytic model corresponding to soft Pomeron dominance, does not seem to be excluded by the \textit{complete} set of experimental data presently available.

arXiv comment10 pages, 4 figures, 1 table. Two paragraphs and four references added. Accepted for publication in Phys. Lett. B

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• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• Towards a complete study of central exclusive production of $K^{+}{K}^{-}$ pairs in proton-proton collisions within the tensor Pomeron approach
• The Phillips - Barger model for the elastic cross section and the Odderon
• Forward Elastic Scattering and Pomeron Models
• CGC/saturation approach: secondary Reggeons and $\rho =Re/Im$ dependence on energy
• Proton structure and hollowness from Lévy imaging of $pp$ elastic scattering
• Searching for the Odderon in Ultraperipheral Proton--Ion Collisions at the LHC
• QCD Odderon: non linear evolution in the leading twist
• Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study
• Proton-proton forward scattering at the LHC
• A new parton model for the soft interactions at high energies: the Odderon
• A model of diffractive excitation in $pp$ collisions at high energies
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Energy evolution of the overlap functions: increasing ratio of ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and black ring emergence
• Convergence properties of Lévy expansions: implications for Odderon and proton structure
• Model-independent Odderon results based on new TOTEM data on elastic pp collisions at 8 TeV
• Searching for the Odderon in the diffractive $f_2(1270)$ photoproduction at $pA$ collisions
• Soft Pomeron in light of the LHC correlated data