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New results are presented for total ${\rm pp}/ {\rm \bar p p}$cross-sections, in the framework of our QCD based model (GGPS). This is animproved eikonal mini-jet model, where soft gluon radiation tames the fastenergy rise normally present in mini-jet models. We discuss the variability inour predictions and provide a handy parametrization of our results for the LHC.We find that our model predictions span the range $\sigma_{tot}^{LHC}=100^{+10}_{-13} mb$. While this matches nicely with the range of most othermodels, it does not agree with recent ones which include a "hard" Pomeron, eventhough our model does include hard scattering. We compute the survivalprobability for Large Rapidity Gap (LRG) events at the LHC and at the Tevatron.These events are relevant, for example, for Higgs signal in the $WW$ fusionprocess. We also explore whether measurements of the total cross-sections atthe LHC can help us sharpen the model parameters and hence estimates for thesesurvival probabilities, further.

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