Resonance production in Pomeron-Pomeron collisions at the LHC

TL;DR

This paper presents a Regge pole model for Pomeron-Pomeron total cross sections in the resonance region up to 5 GeV, incorporating multiple trajectories and resonances, to aid future LHC central diffractive process studies.

Contribution

It introduces a novel Regge pole model for Pomeron-Pomeron interactions in the resonance region, including multiple trajectories and resonances, for use in LHC diffractive process analysis.

Findings

Cross section modeled up to 5 GeV resonance region

Inclusion of f trajectories and f0(500) resonance

Normalized cross section at high masses ~1 mb

Abstract

A Regge pole model for Pomeron-Pomeron total cross section in the resonance region $\sqrt{M^2}\le$ 5 GeV is presented. The cross section is saturated by direct-channel contributions from the Pomeron as well as from two different $f$ trajectories, accompanied by the isolated f$_0(500)$ resonance which dominates the $\sqrt{M^{2}}\lesssim 1$ GeV region. A slowly varying background is taken into account. The calculated Pomeron-Pomeron total cross section cannot be measured directly, but is an essential part of central diffractive processes. In preparation of future calculations of central resonance production at the hadron level, and corresponding measurements at the LHC, we normalize the Pomeron-Pomeron cross section at large masses $\sigma_{t}^{PP} (\sqrt{M^2}\rightarrow \infty) \approx$ 1 mb as suggested by QCD-motivated estimates.