Full $\mathcal{O}(\hat{I}\pm )$ electroweak radiative corrections to $e^{+}{e}^{-}\to e^{+}{e}^{-}{\hat{I}}^3$ at the ILC with GRACE-Loop

Abstract

By using the GRACE-Loop system, we calculate the full $\mathcal{O}(\hat{I}\pm )$ electroweak radiative corrections to the process $e^{+}{e}^{-}\to e^{+}{e}^{-}{\hat{I}}^3$, 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 $\sim -4\%$ to $\sim -21\%$ when $\sqrt{s}$ varies from $250$ GeV to $1$ TeV. The corrections also significantly affect the differential cross sections, which are a function of the invariant masses and angles and the final-particle energies. Such corrections will play an important role for the high-precision program at the ILC.

15 pages, 7 figures, Talk presented at the International Workshop on Future Linear Colliders (LCWS13), Tokyo, Japan, 11-15 November 2013