Muon pair production via $e^{+}e^{-}$ annihilation in the presence of a circularly polarized laser field

TL;DR

This paper analytically investigates how a circularly polarized laser field influences muon pair production in electron-positron annihilation, revealing significant reductions in cross section under intense laser conditions.

Contribution

It derives an analytical expression for the laser-assisted differential cross section and analyzes the impact of laser parameters on muon pair production at various energies.

Findings

Laser field decreases total cross section by several orders of magnitude.

Cross section depends on the number of exchanged photons, laser strength, and frequency.

Analysis covers energies relevant to future electron-positron colliders.

Abstract

In this paper, we have investigated the elementary particle reaction ${e}^{+} {e}^{-} \rightarrow{\mu}^{+} {\mu}^{-}$ that results from the electron-positron interaction, at the leading order, with an intense laser wave of circular polarization. We have derived, by annalytical means, the laser-assisted differential cross section expression by using the scattering matrix approach. We have analyzed the energy and the number of exchanged photons dependence of muon pair production in electron-positron annihilation at different centre of mass energies including the $Z$-boson peak. For this reason, a wide range of high centre of mass energies relevant to future $e^{+}e^{-}$ collider were covered to study the cross section behavior. We have found that, for a given number of exchanged photons, laser field strength and frequency, the circularly polarized laser field decreases the total cross section by several orders of magnitudes.