Off-shell $W$-pair production in $e^+ e^-$-annihilation. Initial state radiation
Abstract
With a current-splitting technique, we calculate the gauge-invariant initial-state radiation to order \oalf\ with soft-photon exponentiation for on- and off-shell -pair production. This result generalizes the convolution formula, which is known from the description of the resonance, to the case of the production of two -bosons. After up to eightfold analytical integrations, a sufficiently smooth integral over three invariant masses remains to be treated numerically. Including the Coulomb singularity, the largest corrections are covered. We discuss the corrections in a large energy range up to =1~TeV and draw numerical conclusions on their influence on the -mass determination at LEP~200. Table~1 and figure~5 are revised after correcting the analytical formulae for the nonuniversal corrections.
Cite
@article{arxiv.hep-ph/9507277,
title = {Off-shell $W$-pair production in $e^+ e^-$-annihilation. Initial state radiation},
author = {D. Bardin and M. Bilenky and A. Olchevski and T. Riemann},
journal= {arXiv preprint arXiv:hep-ph/9507277},
year = {2009}
}
Comments
12 pages, latex, 5 figures, 1 table, a uuencoded file containing the latex file and figures is available via anonymous ftp at ftp://ftp.ifh.de/pub/preprint/desy93-035rev.uu Note: paper publ. in Phys. Lett. B308 (1993) 403, is revised now. second submission due to syntax error, no changes of the paper