Forward scattering amplitudes in semi-hard QCD

Margolis, B.; Valin, P.; Block, M. M.; Halzen, F.; Fletcher, Robert Samuel

doi:10.1016/0370-2693(88)91029-5

Cited by 56 publications

(31 citation statements)

References 14 publications

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“…The measurement of the ρ parameter at the Tevatron by E-710 [145] and E811 Collaboration [144], however, did not confirm such a high value for ρ, which had in any event already been measured again by UA4,s obtaining a lower value, in line with theoretical expectations. That the ρ parameter could not be this high was pointed out in 1990 by Block et al [234] who discussed the theoretical implications of such measurements, using a previously developed model [166]. We now turn to this model.…”

Section: Eikonalisation Of Mini-jet Modelsmentioning

confidence: 82%

“…-matter distributions obtained from the Fourier transform of colliding hadron form factors (FF), -parameterisations inspired by form-factor (FF) models, such as the BSW [161], or QCD-inspired model by Block and various collaborators [166,167], -QCD dipole models, based on the BFKL equation in transverse momentum space [168,169], -Fourier transform of transverse momentum distribution of QCD radiation emitted during the collision, using k t Soft Gluon Resummation (SGR), extended to the infrared region, as in the so-called BN model, described later in this section [93,94,148].…”

Section: Hadronic Matter Distributionmentioning

confidence: 99%

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Introduction to the physics of the total cross section at LHC

Pancheri

Srivastava

2017

Eur. Phys. J. C

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This review describes the development of the physics of hadronic cross sections up to recent LHC results and cosmic ray experiments. We present here a comprehensive review -written with a historical perspective -about total cross sections from medium to the highest energies explored experimentally and studied through a variety of methods and theoretical models for over 60 years. We begin by recalling the analytic properties of the elastic amplitude and the theorems about the asymptotic behavior of the total cross section. A discussion of how proton-proton cross sections are extracted from cosmic rays at higher than accelerator energies and help the study of these asymptotic limits, is presented. This is followed by a description of the advent of particle colliders, through which high energies and unmatched experimental precisions have been attained. Thus the measured hadronic elastic and total cross sections have become crucial instruments to probe the so called soft part of QCD physics, where quarks and gluons are confined, and have led to test and refine Regge behavior and a number of diffractive models. As the c.m. energy increases, the total cross section also probes the transition into hard scattering describable with perturbative QCD, the so-called mini-jet region. Further tests are provided by cross section measurements of γ p, γ * p and γ * γ * for models based on vector meson dominance, scaling limits of virtual photons at high Q 2 and the BFKL formalism. Models interpolating from virtual to real photons are also tested.

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Section: Eikonalisation Of Mini-jet Modelsmentioning

confidence: 82%

Section: Hadronic Matter Distributionmentioning

confidence: 99%

Introduction to the physics of the total cross section at LHC

Pancheri

Srivastava

2017

Eur. Phys. J. C

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“…That is the case in the formalisms by Margolis et al [25,26,27] and the more recent version sometimes referred to as Aspen model, by Block et al [28,29]. However, despite its efficiency in the description of the forward quantities in the elastic channel, as well as differential cross sections at small values of the momentum transfer a serious drawback with the Aspen model concerns the absence of the expected connections with nonperturbative QCD.…”

Section: Eikonalized Approachmentioning

confidence: 99%

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

Fagundes¹,

Luna²,

Menon³

et al. 2012

Nuclear Physics A

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We discuss how the main features of the recent LHC data on elastic scattering can be described by a QCD-inspired formalism with a dynamical infrared mass scale. For this purpose new developments on a dynamical gluon mass approach are reported, with emphasis on a method to estimate uncertainty bounds in the predictions for the high-energy scattering observables. We investigate the effects due to the correlations among the fixed and free parameters involved and show that the band of predictions are consistent with the recent data from the TOTEM experiment, including the forward quantities and the differential cross section up to the dip position.

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“…In this definition the term ∼ 1/x 1+ǫ simulates the effect of scaling violations in the small x behavior of g(x) [10]. In the Regge language the quantity J, that controls the asymptotic behavior of σ tot (s), is the so called intercept of the Pomeron.…”

Section: Dynamical Gluon Mass and Qcd-inspired Eikonal Modelsmentioning

confidence: 99%

“…In this case it is the gluon-gluon subprocess cross section that is potentially divergent at small transferred momenta. The procedure to regulate this behavior is the introduction of a purely ad hoc mass scale which separates the perturbative from the nonperturbative QCD region [9,10]. This mass scale, as well as the fixed coupling constant present in the elementary cross sections, are adjusted in order to obtain the best fits to the experimental data.…”

Section: Introductionmentioning

confidence: 99%

Influence of a dynamical gluon mass in theppandp¯pforward scattering

et al. 2005

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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.

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Forward scattering amplitudes in semi-hard QCD

Cited by 56 publications

References 14 publications

Introduction to the physics of the total cross section at LHC

Introduction to the physics of the total cross section at LHC

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

Influence of a dynamical gluon mass in theppandp¯pforward scattering

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