QED peripheral mechanism of pair production at colliders

TL;DR

This paper calculates cross sections for neutral pion and pair production in peripheral lepton-photon interactions, providing explicit formulas and discussing Monte Carlo simulation possibilities.

Contribution

It offers new explicit formulas for differential cross sections and explores the summation over multiple pairs, extending classical results to current collider scenarios.

Findings

Explicit differential cross sections derived

Reproduction of classical summation results for massless particles

Discussion on Monte Carlo generator construction

Abstract

Cross section of the processes of neutral pion production as well as pairs of charged fermions and bosons in peripherical interaction of leptons, photons are calculated in main logarithmical approximation. We investigate the phase volumes and differential cross sections. The differential cross section of few neutral pions and a few pairs production are written down explicitly. Considering the academic problem of summation on the number of pairs for the case of massless particles we reproduce the known results obtained in seventies of last century. The possibility to construct the generator for Monte-Carlo modeling of this processes basing of this results are discussed.