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arXiv · 2102.12237

The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^+e^- \to γ^*/Z^{0*}$ to Higher Orders

J. Blümlein·A. De Freitas·K. Schönwald
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Abstract

The QED initial state corrections are calculated to the forward-backward asymmetry for $e^+e^- \rightarrow γ^*/{Z^{0}}^*$ in the leading logarithmic approximation to $O(α^6 L^6)$ extending the known corrections up to $O(α^2 L^2)$ in analytic form. We use the method of massive on-shell operator matrix elements and present the radiators both in Mellin-$N$ and momentum fraction $z$-space. Numerical results are presented for various energies around the $Z$-peak by also including energy cuts. These corrections are of relevance for the precision measurements at the FCC$\_$ee.

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J. Blümlein, A. De Freitas, K. Schönwald. 2021-02-24. The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^+e^- \to γ^*/Z^{0*}$ to Higher Orders. https://doi.org/10.1016/j.physletb.2021.136250

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