Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Survival Probability of Large Rapidity Gaps

E. Gotsman, E. Levin, U. Maor, E. Naftali, A. Prygarin

TL;DR

The paper analyzes the survival probability of large rapidity gaps (LRG) in high-energy diffractive scattering, with emphasis on exclusive Higgs production at the LHC. It reviews s-channel unitarity and the eikonal approach, then presents two complementary models—GLM and KKMR—for calculating gap survival factors $S^2$. GLM provides analytic, multi-channel eikonal treatments with Gaussian input profiles to reproduce soft scattering data and predict $S^2$ for various LRG channels, including explicit numbers for CD, SD, and DD at collider energies, yielding $S^2$ in the few-percent range for LHC Higgs production. KKMR combines this with a detailed pQCD treatment of central diffraction to predict hard diffractive cross sections and gaps, offering cross-checks and cross-sections for Higgs and di-jet production within a unified framework. Overall, the work highlights uncertainties in interpreting Tevatron/HERA LRG data, demonstrates the sensitivity of $S^2$ to channel and input assumptions, and provides concrete predictions for LHC diffractive Higgs channels that inform experimental searches and event generation.

Abstract

Our presentation centers on the consequences of s-channel unitarity, manifested by soft re-scatterings of the spectator partons in a high energy diffractive process, focusing on the calculations of gap survival probabilities. Our emphasis is on recent estimates relevant to exclusive diffractive Higgs production at the LHC. To this end, we critically re-examine the comparison of the theoretical estimates of large rapidity gap hard di-jets with the measured data, and remark on the difficulties in the interpretation of HERA hard di-jet photoproduction.

Survival Probability of Large Rapidity Gaps

TL;DR

The paper analyzes the survival probability of large rapidity gaps (LRG) in high-energy diffractive scattering, with emphasis on exclusive Higgs production at the LHC. It reviews s-channel unitarity and the eikonal approach, then presents two complementary models—GLM and KKMR—for calculating gap survival factors . GLM provides analytic, multi-channel eikonal treatments with Gaussian input profiles to reproduce soft scattering data and predict for various LRG channels, including explicit numbers for CD, SD, and DD at collider energies, yielding in the few-percent range for LHC Higgs production. KKMR combines this with a detailed pQCD treatment of central diffraction to predict hard diffractive cross sections and gaps, offering cross-checks and cross-sections for Higgs and di-jet production within a unified framework. Overall, the work highlights uncertainties in interpreting Tevatron/HERA LRG data, demonstrates the sensitivity of to channel and input assumptions, and provides concrete predictions for LHC diffractive Higgs channels that inform experimental searches and event generation.

Abstract

Our presentation centers on the consequences of s-channel unitarity, manifested by soft re-scatterings of the spectator partons in a high energy diffractive process, focusing on the calculations of gap survival probabilities. Our emphasis is on recent estimates relevant to exclusive diffractive Higgs production at the LHC. To this end, we critically re-examine the comparison of the theoretical estimates of large rapidity gap hard di-jets with the measured data, and remark on the difficulties in the interpretation of HERA hard di-jet photoproduction.

Paper Structure

This paper contains 11 sections, 52 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Unitarity
  3. S-channel unitarity
  4. The eikonal model
  5. The GLM Model
  6. The GLM SC model
  7. Extension to a multi channel model
  8. Survival probabilities of LRG in the GLM model
  9. GLM $S^2$ predictions
  10. The KKMR Model
  11. KKMR model for soft diffraction

Figures (3)

  • Figure 1: A pictorial illustration of a high energy b-space elastic amplitude bounded by unitarity and analyticity/crossing. In the illustration we have an input amplitude which violates the eikonal unitarity bound and an output amplitude obtained after a unitarization procedure.
  • Figure 2: Integrated SD data and a two channel model fit.
  • Figure 3: A contour plot of $S^2(1C)$ against $\nu(s)$ and $a_H(s)$.