The QED lowest-order radiative corrections to the two polarized identical fermion scattering

Abstract

The explicit exact expressions of QED lowest-order radiative corrections to the two polarized identical fermion scattering are presented in covariant form. Polarization effects are treated in detail. The infrared divergence from the real photon emission is extracted by covariant approach. Some numerical results for Møller scattering are given.

Radiative corrections to fixed target Møller scattering including hard bremsstrahlung effects

“…33 into closer agreement with the result of [10]. QED corrections to the photon exchange component of Møller scattering of ≈ 100% are reported in [12]. We believe that the large size of these results arises from the lack of experimental cuts in this calculation; without such restrictions, large contributions from the peaking regions discussed in the previous section greatly enhance the cross section.…”

“…− was computed in [12] without experimental cuts. Neither of these results is sufficient for comparison with the E-158 measurement.…”

MERADGEN 1.0: Monte Carlo generator for the simulation of radiative events in parity conserving doubly-polarized Møller scattering

“…The explicit expressions for each term of equation (8) can be found in [3]. Since the expressions for the two virtual photon contribution as well as δ H 1 and δ S 1 in [3] contain the misprints (fortunately, it is not seriously reflecting on the numerical estimations presented in [3]), 2 Here and later we consider the differential cross section σ ≡ dσ/dy the additional virtual particle contributions together with δ H 1 and δ S 1 are also presented in Appendix B. Now we consider σ R F in more detail: before integration over the inelasticity and the real photon phase space it can be presented as…”

“…In [2] these corrections were calculated exactly (without the ultrarelativistic approximation) but unfortunately also without any experimental cuts. In [3] the similar corrections were performed for longitudinally polarized Møller scattering within the ultrarelativistic approximation.…”

A Precision Measurement of the Weak Mixing Angle in Moller Scattering at Low Q^2

“…The tree-level asymmetry calculation of Equation 4.3 is adequate because higher order corrections are found to be well below 1% [51].…”