Muon Pair Production by Electron-Photon Scatterings

Abstract

The cross section for muon pair productions by electrons scattering over photons, ${\sigma }_{MPP}$, is calculated analytically in the leading order. It is pointed out that for the center-of-mass energy range, $s\ge 5m_{\mu }^2$, the cross section for ${\sigma }_{MPP}$ is less than $1\mu$b. The differential energy spectrum for either of the resulting muons is given for the purpose of high-energy neutrino astronomy. An implication of our result for a recent suggestion concerning the high-energy cosmic neutrino generation through this muon pair is discussed.

a comment added, to appear in Phys. Rev. D, Rapid Communication

References in corpus (4)

• Ultra-High Energy Neutrinos: A Review of Theoretical and Phenomenological Issues
• Neutrinos produced by ultrahigh-energy photons at high red shift
• On the numerical analysis of triplet pair production cross-sections and the mean energy of produced particles for modelling electron-photon cascade in a soft photon field
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• Generation of arbitrarily polarized muon pairs via polarized $e^{-}{e}^{+}$ collision
• Gamma rays as leptonic portals to energetic neutrinos: a new Monte Carlo approach