Full O(α)O(α) electroweak radiative corrections to e+e−→e+e−γe+e−→e+e−γ at the ILC with GRACE-Loop

By using the GRACE-Loop system, we calculate the full O(α)O(α) electroweak radiative corrections to the process e+e−→e+e−γe+e−→e+e−γ, which is important for future investigations at the International Linear Collider (ILC). With the GRACE-Loop system, the calculations are checked numerically by three consistency tests: ultraviolet finiteness, infrared finiteness, and gauge-parameter independence. The results show good numerical stability when quadruple precision is used. In the phenomenological results, we find that the electroweak corrections to the total cross section range from ∼−4%∼−4% to ∼−21%∼−21% when s varies from 250 GeV250 GeV to 1 TeV1 TeV. The corrections also significantly affect the differential cross sections, which are a function of energies and angles of the final state particles. Such corrections will play an important role in the high-precision program at the ILC.