Charge asymmetry in electron/positron energy loss in nuclear Bremsstrahlung

Abstract

We calculate the leading Coulomb correction to the energy loss in the electron-nucleus Bremsstrahlung for arbitrary energy of the incoming particle. This correction determines the charge asymmetry, i.e., the difference of electron and positron energy loss. The result is presented in terms of the classical polylogarithms ${\mathrm{Li}}_2$ and ${\mathrm{Li}}_3$. We use modern multiloop methods based on the IBP reduction and on the differential equations for master integrals. We provide both the threshold and the high-energy asymptotics of the found asymmetry and compare them with the available results.

14 pages

References in corpus (5)

• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Reducing differential equations for multiloop master integrals
• Libra: a package for transformation of differential systems for multiloop integrals
• Four-loop quark form factor with quartic fundamental colour factor
• High-energy $e^{+}{e}^{-}$ photoproduction cross section close to the end of spectrum

Cited by in corpus (1)

• Charge asymmetry in the spectra of bremsstrahlung and pair production