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

Abstract

In this paper, we have investigated the elementary particle reaction $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ 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.

Comments: 17 pages, 10 figures