High Precision QED Initial State Corrections for $e^+ e^- \rightarrow \gamma^*/Z^*$ Annihilation

Understand

The precise knowledge of the QED initial state corrections is of instrumental importance in studying high luminosity measurements in $e^+e^-$ annihilation at facilities like LEP, the International Linear Collider ILC, CLIC, a Giga-$Z$ facility, and the planned FCC\_ee.

• Logarithmic corrections of up to $O(\alpha^6 L^5)$ are necessary with various subleading terms taken into account.
• This applies to both the inclusive measurement of processes like $e^+ e^- \rightarrow \gamma^*/Z^*$ and also the forward-backward asymmetry.
• As has been shown recently, techniques from massive QCD, such as the computation of massive on-shell operator matrix elements, can be used for these calculations.