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The O(α$^{2}$) initial state QED corrections to e$^{+}$ e$^{-}$ $\rightarrow$ $\gamma$$^{*}$ / Z$_{0}^{*}$

Blümlein, J.; De Freitas, A.; Raab, C. G.; Schönwald, K. 1
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)


We calculate the complete O($\alpha$$^{2}$) initial state radiation corrections to e$^{+}$ e$^{-}$ annihilation into a neutral vector boson in a direct analytic computation without any approximation. The corrections are represented in terms of iterated incomplete (elliptic) integrals over alphabets of square-root valued letters. Performing the limit s >> m$_{e}^{2}$, we find discrepancies with the earlier results of Ref. [1] and confirm results obtained in Ref. [2] where the effective method of massive operator matrix elements has been used, which works for all but the power corrections in m$_{e}^{2}$/s. In this way, we also confirm the validity of the factorization of massive partons in the Drell-Yan process to O($\alpha$$^{2}$). We add non logarithmic terms at O($\alpha$$^{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.

Verlagsausgabe §
DOI: 10.5445/IR/1000122374
Veröffentlicht am 05.08.2020
DOI: 10.1016/j.nuclphysb.2020.115055
Zitationen: 17
Zitationen: 15
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 07.2020
Sprache Englisch
Identifikator ISSN: 0550-3213
KITopen-ID: 1000122374
Erschienen in Nuclear physics <Amsterdam> / B
Verlag North-Holland Publishing
Band 956
Seiten Art.Nr. 115055
Nachgewiesen in Scopus
Web of Science
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