High-energy strong interactions: from ‘hard’ to ‘soft’

Abstract

We discuss the qualitative features of the recent data on multiparticle production observed at the LHC. The tolerable agreement with Monte Carlos based on LO DGLAP evolution indicates that there is no qualitative difference between 'hard' and 'soft' interactions; and that a perturbative QCD approach may be extended into the soft domain. However, in order to describe the data, these Monte Carlos need an additional infrared cutoff k min with a value k min ∼ 2 − 3 GeV which is not small, and which increases with collider energy. Here we explain the physical origin of the large k min . Using an alternative model which matches the 'soft' high-energy hadron interactions smoothly on to perturbative QCD at small x, we demonstrate that this effective cutoff k min is actually due to the strong absorption of low k t partons. The model embodies the main features of the BFKL approach, including the diffusion in transverse momenta, lnk t , and an intercept consistent with resummed next-to-leading log corrections. Moreover, the model uses a two-channel eikonal framework, and includes the contributions from the multi-Pomeron exchange diagrams, both non-enhanced and enhanced. The values of a small number of physically-motivated parameters are chosen to reproduce the available total, elastic and proton dissociation cross section (pre-LHC) data. Predictions are made for the LHC, and the relevance to ultra-high-energy cosmic rays is briefly discussed. The low x inclusive integrated gluon PDF, and the diffractive gluon PDF, are calculated in this framework, using the parameters which describe the high-energy pp and pp 'soft' data. Comparison with the PDFs obtained from the global parton analyses of deep inelastic and related hard scattering data, and from diffractive deep inelastic data looks encouraging.

The production of a diphoton resonance via photon-photon fusion

“…In general, we should also consider the so-called 'enhanced' survival factor, see e.g. [61], generated by additional interactions with the intermediate partons produced during the evolution. However for exclusive γγ-initiated processes this is absent.…”

Rapidity gap cross sections measured with the ATLAS detector in pp collisions at $\sqrt{s} = 7 \mbox{~TeV}$

“…(2) leads to an approximately constant dσ/d ln ξ X at fixed s. The DD cross section follows a similar dependence at fixed ξ Y . The deviations from this behaviour are sensitive to the intercept α P (0) of the Pomeron trajectory [58,59] and to absorptive corrections associated with unitarity constraints [43,44].…”

“…Instead, phenomenological models such as those based on Regge theory have been developed [22,38,39], which underlie the Monte Carlo generators typically used to predict the properties of soft inelastic collisions [40][41][42]. Mixed approaches have also been developed which employ perturbative QCD where possible [43,44]. Large theoretical uncertainties remain in the detailed dynamics expected at the LHC.…”

Gluon saturation: Survival probability for leading neutrons in DIS

“…Fortunately, some models have recently been discussed with very small value of α ′ IP ≈ 0.01GeV −2 [33] and Eq. (3.12) could be valid at high energies.…”