Survival probability of large rapidity gaps in QCD and N=4 SYM motivated model

TL;DR

This paper develops a theoretical model combining N=4 SYM and QCD to calculate the survival probability of large rapidity gaps in high-energy dijet production, providing analytical formulas and LHC predictions.

Contribution

It introduces a self-consistent approach integrating N=4 SYM with QCD to estimate survival probabilities, including semi-enhanced diagrams, at LHC energies.

Findings

Survival probability estimates are significantly larger than previous calculations.

Analytical formulas derived for elastic and diffractive amplitudes.

Model successfully fits experimental data with parameters from high-energy interactions.

Abstract

In this paper we present a self consistent theoretical approach for the calculation of the Survival Probability for central dijet production . These calculations are performed in a model of high energy soft interactions based on two ingredients:(i) the results of N=4 SYM, which at the moment is the only theory that is able to deal with a large coupling constant; and (ii) the required matching with high energy QCD. Assuming, in accordance with these prerequisites, that soft Pomeron intercept is rather large and the slope of the Pomeron trajectory is equal to zero, we derive analytical formulae that sum both enhanced and semi-enhanced diagrams for elastic and diffractive amplitudes. Using parameters obtained from a fit to the available experimental data, we calculate the Survival Probability for central dijet production at energies accessible at the LHC. The results presented here which include the contribution of semi-enhanced and net diagrams, are considerably larger than our previous estimates.