M. J. Menon

Influence of a dynamical gluon mass in the pp and pp forward scattering

We compute the tree level cross section for gluon-gluon elastic scattering taking into account a dynamical gluon mass, and show that this mass scale is a natural regulator for this subprocess cross section. Using an eikonal approach in order to examine the relationship between this gluon-gluon scattering and the elastic pp and pp channels, we found that the dynamical gluon mass is of the same order of magnitude as the ad hoc infrared mass scale m{sub 0} underlying eikonalized QCD-inspired models. We argue that this correspondence is not an accidental result, and that this dynamical scale indeed represents the onset of nonperturbative contributions to the elastic hadron-hadron scattering. We apply the eikonal model with a dynamical infrared mass scale to obtain predictions for {sigma}{sub tot}{sup pp,pp}, {rho}{sup pp,pp}, slope B{sup pp,pp}, and differential elastic scattering cross section d{sigma}{sup pp}/dt at Tevatron and CERN-LHC energies.

Analytic models and forward scattering from accelerator to cosmic-ray energies

Analytic models for hadron-hadron scattering are characterized by simple analytical parametrizations for the forward amplitudes and the use of dispersion relation techniques to study the total cross section

Total hadronic cross section and the elastic slope: An almost model-independent connection

{\ensuremath{\sigma}}_{\mathrm{tot}}

Exploring central opacity and asymptotic scenarios in elastic hadron scattering

and the

Phenomenological analysis connecting proton–proton and antiproton–proton elastic scattering

\ensuremath{\rho}

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

parameter (the ratio between the real and imaginary parts of the forward amplitude). In this paper we investigate simultaneously four aspects related to the application of the model to

Eikonal representation in the momentum transfer space

\mathrm{pp}

High-energy proton-proton forward scattering and derivative analyticity relations

and

Eikonal zeros in the momentum transfer space from proton-proton scattering : an empirical analysis

\overline{p}p

Derivative dispersion relations above the physical threshold

scattering, from accelerator to cosmic-ray energies: (1) the effect of different estimations for