Testing the RRPP vertex of effective Regge action

TL;DR

This paper constructs and verifies vertices for gluon conversion in the effective Regge action, exploring their properties and potential experimental signatures in high-energy collisions.

Contribution

It introduces and checks the consistency of vertices for two and three gluon creation, extending the understanding of the effective Regge action and its experimental implications.

Findings

The single gluon creation vertex is verified and integral to the BFKL kernel.

Two-gluon creation mechanisms dominate over separate gluon emissions.

Estimated cross sections align with experimental data for LHC and cosmic ray observations.

Abstract

In frames of effective Regge action the vertices describing conversion of two reggeized gluons to one two and three ordinary gluons was constructed. The self-consistency: Bose symmetry and gauge invariance properties checks was shown to be fulfilled. The simplest one with creation of a single gluon was intensively verified in programs of experimental and theoretical treatment since it determine the kernel of of the known BFKL equation. Here we discuss the possibility to check the vertex with creation of two real gluons, which can reveal itself in process of scalar mesons production in high energy peripheral nucleons collisions. We show that the mechanisms which include emission of two gluons in the same effective vertex contribution dominate compared with one with the creation of two separate gluons. Numerical estimations of cross section of pair of charged pions production for LHC facility give the value or order $10 mb$. As well we estimate the excess of production of positively charged muons (as a decay of pions) created by cosmic ray proton collisions with the atmosphere gas nuclei to be in a reasonable agreement with modern data.