Cross sections, multiplicity and moment distributions at the LHC

Abstract

The unitarity of the $S$-matrix requires that the absorptive part of the elastic scattering amplitude receives contributions from both the inelastic and the elastic channels. We explore this unitarity condition in order to describe, in a connected way, hadron-hadron observables like the total and elastic differential cross sections, the ratio of the real to imaginary part of the forward scattering amplitude and the inclusive multiplicity distributions in full phase space, over a large range of energies. We introduce non-perturbative QCD effects in the forward scattering amplitude by using the infrared QCD effective charge dependent on the dynamical gluon mass. In our analysis we pay special attention to the theoretical uncertainties in the predictions due to this mass scale variation. We also present quantitative predictions for the $H_q$ moments at high energies. Our results reproduce the moment oscillations observed in experimental data, and are consistent with the behavior predicted by QCD.

26 pages, 8 figures, discussion extended, references added; version to appear in Nucl. Phys. A

References in corpus (10)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Covariant gauge on the lattice: a new implementation
• Diffractive dissociation re-visited for predictions at the LHC
• Total cross-section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation
• QCD effective charge and the structure function $F_2$ at small-$x$
• Survival probability of large rapidity gaps in a QCD model with a dynamical infrared mass scale
• $\gamma p$ and $\gamma \gamma$ scattering from $\bar{p}p$, $pp$ forward amplitudes in a QCD eikonal model with a dynamical gluon mass
• The possibility that the triple-Pomeron coupling vanishes at q_t=0
• The small $x$ behavior of the gluon structure function from total cross sections

Cited by in corpus (10)

• Forward Elastic Scattering and Pomeron Models
• Non-perturbative QCD effects in forward scattering at LHC
• Proton-proton forward scattering at the LHC
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Energy-dependent dipole form factor in a QCD-inspired model
• Searching for hidden sector in multiparticle production at the LHC
• Effect of color reconnection on multiplicity dependent charged particle production in Pythia-generated $pp$ collisions at the LHC energies
• Energy dependence of the inelasticity in $pp/p\bar{p}$ collisions from experimental information on charged particle multiplicity distributions
• Inelastic cross sections, overlap functions and Cq moments from ISR to LHC energies in proton interactions
• Limit on the pion distribution amplitude