Soft diffraction and the elastic slope at Tevatron and LHC energies: a multi-Pomeron approach

Abstract

We present a formalism for high energy soft processes, mediated by Pomerons, which embodies pion-loop insertions in the Pomeron trajectory, rescattering effects via a twochannel eikonal and high-mass diffractive dissociation. It describes all the main features of the data throughout the ISR to Tevatron energy interval. We give predictions for soft diffractive phenomena at the LHC energy, and we calculate the different survival probabilities of rapidity gaps which occur in various diffractive processes.

Diffractive dijet photoproduction in ultraperipheral collisions at the LHC in next-to-leading order QCD

“…To estimate it, we use the method of refs. [13,51], where S 2 (x) is calculated as a result of eikonalization of multiple Pomeron exchanges between the colliding protons: 12) where b is the impact parameter; M(x, b) is the diffractive amplitude of the process of interest in the impact parameter space; P (s, b) is the probability to not have the strong inelastic proton-proton interaction at the impact parameter b; and s = s N N for brevity. The probability P (s, b) in the two-channel eikonal model of ref.…”

“…To estimate R(res. ), we use the appropriate application of the two-state eikonal model of [51,62] (compare to eq. (2.12)): …”

Diffractive supersymmetric particle production at the CERN LHC

“…The top squark production cross section has been obtained using the DPEMC generator [22] after applying a survival probability of 0.03 [61]. The top squark pair production cross section as a function of the top squark mass is given in Fig.…”

tdependence of the slope of the high energy elasticppcross section

“…The question was considered in [2] 14 years ago 1 . Here we update the discussion of these variations based on the new LHC data and on the improved understanding of high energy diffractive processes.…”

“…In Sect. 2 we consider a simplified model in which the proton-proton amplitude is described by single pomeron exchange. In this case the t dependence of B may be caused by the non-linearity of the pomeron trajectory or by a non-exponential t dependence of the proton-pomeron coupling.…”