English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We calculate the non-singlet, the pure singlet contribution, and theirinterference term, at $O(\alpha^2)$ due to electron-pair initial stateradiation to $e^+ e^-$ annihilation into a neutral vector boson in a directanalytic computation without any approximation. The correction is representedin terms of iterated incomplete elliptic integrals. Performing the limit $s \ggm_e^2$ we find discrepancies with the earlier results ofRef.~\cite{Berends:1987ab} and confirm results obtained inRef.~\cite{Blumlein:2011mi} where the effective method of massive operatormatrix elements has been used, which works for all but the power corrections in$m^2/s$. In this way, we also confirm the validity of the factorization ofmassive partons in the Drell-Yan process. We also add non-logarithmic terms at$O(\alpha^2)$ which have not been considered in \cite{Berends:1987ab}. Thecorrections are of central importance for precision analyzes in $e^+e^-$annihilation into $\gamma^*/Z^*$ at high luminosity.

The $O(\alpha^2)$ Initial State QED Corrections to $e^+e^-$ Annihilation to a Neutral Vector Boson Revisited