The O(α^{2}) initial state QED corrections to e^{+}e^{} →γ^{*} / Z_{0}^{*}
Abstract
We calculate the complete O (α^{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 squareroot valued letters. Performing the limit s ≫ m_{e}^{2} , we find discrepancies with the earlier results of Ref. [1] and confirm results obtained in Ref. [2] where the effective method of massive operator matrix elements has been used, which works for all but the power corrections in m_{e}^{2} / s. In this way, we also confirm the validity of the factorization of massive partons in the DrellYan process to O (α^{2}). We add nonlogarithmic terms at O (α^{2}) which have not been considered in previous calculations. The final results in the limit s ≫ m_{e}^{2} can be given in terms of Nielsen integrals.
 Publication:

Nuclear Physics B
 Pub Date:
 July 2020
 DOI:
 10.1016/j.nuclphysb.2020.115055
 arXiv:
 arXiv:2003.14289
 Bibcode:
 2020NuPhB.95615055B
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 32 pages Latex, several figures