Charge asymmetry in the spectra of bremsstrahlung and pair production

Abstract

We calculate the first Coulomb correction to the spectra of two processes: the electron bremsstrahlung and electron-positron photoproduction in the Coulomb field. We show that, in contrast to the results obtained in the Born approximation and in the high-energy limit, the obtained corrections for these two process are not related by the crossing symmetry substitutions. The found corrections determine the leading contribution to the charge asymmetry in these processes. We use modern multiloop methods based on the IBP reduction and on the differential equations for master integrals. The results are presented in terms of classical polylogarithms. We provide both the threshold and the high-energy asymptotics of the obtained expressions and compare them with available results.

14 pages, 8 figures

References in corpus (6)

• Reducing differential equations for multiloop master integrals
• Libra: a package for transformation of differential systems for multiloop integrals
• Charge asymmetry in the differential cross section of high-energy bremsstrahlung in the field of a heavy atom
• Total cross sections of $e\gamma \to eX\bar{X}$ processes with $X=\mu ,\gamma ,e$ via multiloop methods
• Photoproduction of $e^{+}{e}^{-}$ pair in a Coulomb field near the threshold
• Charge asymmetry in electron/positron energy loss in nuclear Bremsstrahlung