Influence of a dynamical gluon mass in theppandp¯pforward scattering

Abstract

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 andpp channels, we found that the dynamical gluon mass is of the same order of magnitude as the 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 nonperturbative contributions to the elastic hadron-hadron scattering. We apply the eikonal model with a dynamical infrared mass scale to obtain predictions for σ pp,pp tot , ρ pp,pp , slope B pp,pp , and differential elastic scattering cross section dσp p /dt at Tevatron and CERN-LHC energies.

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

“…A fundamental consequence of this result is its extension to perturbative QCD. In fact, in the limitŝ ≫ Λ 2 we have M 2 g (ŝ) → 0 andᾱ s matches the one-loop perturbative QCD one [9]. In this context, by considering n f = 4 and Λ = 284 MeV, the only unknown quantity in the evaluation ofσ gg (ŝ) is the gluon mass scale m g , the IR value for M 2 g (ŝ).…”

“…Infrared finite solutions for these equations have been obtained by Cornwall by means of the pinch technique leading to a gluon propagator which carries a dynamical mass [17,18,19]. A review on this dynamical gluon mass generation is presented in [20], discussions and more details can be found in [9] and references therein. Here we display the main formulas connected with the nonperturbative gluon-gluon cross section, stressing a formal improvement regarding the previous work [9].…”

“…A review on this dynamical gluon mass generation is presented in [20], discussions and more details can be found in [9] and references therein. Here we display the main formulas connected with the nonperturbative gluon-gluon cross section, stressing a formal improvement regarding the previous work [9].…”

“…In the DGM approach the nonperturbative integrated elastic cross section for the scattering gg → gg, expressed in terms of the subprocess energyŝ, is given by [9] …”

“…With this aim (see also [5,6,7]), a novel interpretation for some fundamental parameters in eikonalized QCD-inspired models has been previously proposed, allowing a quantitative connection between elastic hadron scattering data and the nonperturbative regime [8,9,10]. This Dynamical Gluon Mass (DGM) approach is based on the possibility that the nonperturbative dynamics of QCD generates an effective gluon mass at the small momentum transfer region, which is strongly supported by recent QCD lattice simulations [11], as well as by other phenomenological results [12,13,14].…”