Abstract
We calculate the leading Coulomb correction to the Bremsstrahlung energy loss in the electron-nucleus collisions 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 Li2 and Li3. 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.
Highlights
Initial-Initial where (E, p), (E, p ), and (ω, k) are the momenta of the incoming electron, scattered electron and emitted photon, respectively, and |M |2 denotes the square of matrix element averaged/summed over the polarizations of initial/final particles
We provide both the threshold and the high-energy asymptotics of the found asymmetry and compare them with the available results
In order to calculate the charge asymmetry in the leading approximation, one has to account for the first correction with respect to the parameter Zα
Summary
Initial-Initial where (E, p), (E , p ), and (ω, k) are the momenta of the incoming electron, scattered electron and emitted photon, respectively, and |M |2 denotes the square of matrix element averaged/summed over the polarizations of initial/final particles. We provide both the threshold and the high-energy asymptotics of the found asymmetry and compare them with the available results. From this expansion and eq (3.4), it is obvious that the boundary constants C can be determined by fixing a properly chosen set of 61 asymptotic coefficients of master integrals.
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