Single and double diffractive dissociation and the problem of extraction of the proton-Pomeron cross-section

TL;DR

This paper analyzes diffractive dissociation processes using covariant reggeization, providing detailed expressions for cross-sections and discussing challenges in extracting the proton-Pomeron cross-section.

Contribution

It introduces a covariant reggeization framework for analyzing diffractive dissociation and derives explicit formulas for related cross-sections, addressing issues in proton-Pomeron cross-section extraction.

Findings

Derived expressions for single and double dissociation cross-sections.

Discussed asymptotic behavior of hadronic tensor as t approaches 0.

Highlighted problems in extracting the proton-Pomeron cross-section.

Abstract

Diffractive dissociation processes are analysed in the framework of covariant reggeization. We have considered the general form of hadronic tensor and its asymptotic behaviour for $t\rightarrow 0$ in the case of conserved tensor currents before reggeization. Resulting expressions for differential cross-section of single dissociation (SD) process ($pp \rightarrow p M$), double dissociation (DD) ($pp\rightarrow M_1 M_2$) and for the proton-Pomeron cross-section are given in detail, and corresponding problems of the approach are discussed.