Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-07-05
Phys.Rev. D72 (2005) 034019
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, 5 figures; misprints corrected and comments added. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.72.034019
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 $\bar{p}p$ channels, we found that the dynamical gluon mass is of the same order of magnitude as the {\it ad hoc} infrared mass scale $m_{0}$ 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 non-perturbative contributions to the elastic hadron-hadron scattering. We apply the eikonal model with a dynamical infrared mass scale to obtain predictions for $\sigma_{tot}^{pp,\bar{p}p}$, $\rho^{pp,\bar{p}p}$, slope $B^{pp,\bar{p}p}$, and differential elastic scattering cross section $d\sigma^{\bar{p}p}/dt$ at Tevatron and CERN-LHC energies.
Luna E. G. S.
Martini A. F.
Menon Marcio J.
Mihara Antonio
Natale A. A.
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