New Sum Rules and Singularities in the Complex<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi></mml:math>Plane

Igi, Keiji; Matsuda, Shôichi

doi:10.1103/physrevlett.18.625

Cited by 197 publications

(28 citation statements)

References 15 publications

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“…The fit obtained by Igi et al [42], using FESR [43], gives LHC predictions very similar to those given by the BH fit. Predictions have been advanced by Luna and Menon [44] using fits to low energy proton-proton and cosmic ray data from Akeno [45] and Flye's Eyes [46].…”

Section: Predictions For σ Pp/pp Tot At Lhcsupporting

confidence: 75%

Total cross section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation

et al. 2008

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New results are presented for total pp/pp cross-sections, in the framework of our QCD based model (GGPS). This is an improved eikonal mini-jet model, where soft gluon radiation tames the fast energy rise normally present in mini-jet models. We discuss the variability in our predictions and provide a handy parametrization of our results for the LHC. We find that our model predictions span the range σ LHC tot = 100 +10 −13 mb. While this matches nicely with the range of most other models, it does not agree with recent ones which include a "hard" Pomeron, even though our model does include hard scattering. We compute the survival probability for Large Rapidity Gap (LRG) events at the LHC and at the Tevatron. These events are relevant, for example, for Higgs signal in the W W fusion process. We also explore whether measurements of the total cross-sections at the LHC can help us sharpen the model parameters and hence estimates for these survival probabilities, further.

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Section: Predictions For σ Pp/pp Tot At Lhcsupporting

confidence: 75%

Total cross section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation

et al. 2008

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“…(1) reflect the well known duality between resonance and Regge pole exchange on the one hand and background and Pomeron exchange on the other, established in the late 60's through FESR [20]. This correspondance meant that, while at low energy the cross-section could be written as due to a background term and a sum of resonances, at higher energy it could be written as a sum of Regge trajectory exchanges and a Pomeron exchange.…”

Section: The Two Component Modelmentioning

confidence: 99%

Soft gluon radiation and energy dependence of total hadronic cross sections

et al. 2005

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An impact parameter representation for soft gluon radiation is applied to obtain both the initial decrease of the total cross-section (σ tot ) for proton-proton collisions as well as the later rise of σ tot with energy for both pp and pp. The non-perturbative soft part of the eikonal includes only limited low energy gluon emission and leads to the initial decrease in the proton-proton cross-section. On the other hand, the rapid rise in the hard, perturbative jet part of the eikonal is tamed into the experimentally observed mild increase by soft gluon radiation whose maximum energy rises slowly with energy.

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“…Finite energy sum rules were derived and applied for πN charge exchange in the forward direction in the past [42][43][44]. FESR's were later applied at finite-t in charge exchange πN to predict the ρ exchange parameters [13,45].…”

Section: Summary and Future Directionsmentioning

confidence: 99%