• Corpus ID: 214728197

The $O(\alpha^2)$ Initial State QED Corrections to $e^+e^- \rightarrow \gamma^*/Z_0^*$

  title={The \$O(\alpha^2)\$ Initial State QED Corrections to \$e^+e^- \rightarrow \gamma^*/Z\_0^*\$},
  author={Johannes Blumlein and Abilio De Freitas and Clemens G. Raab and Kay Schonwald},
We calculate the complete $O(\alpha^2)$ initial state radiation corrections to $e^+ e^-$ annihilation into a neutral vector boson in a direct analytic computation without any approximation. The corrections are represented in terms of iterated incomplete (elliptic) integrals over alphabets of square--root valued letters. Performing the limit $s \gg m_e^2$, we find discrepancies with the earlier results of Ref.~\cite{Berends:1987ab} and confirm results obtained in Ref.~\cite{Blumlein:2011mi… 

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