Off-shell $W$-pair production in $e^+ e^-$-annihilation. Initial state radiation

D. Bardin; M. Bilenky; A. Olchevski; T. Riemann

doi:10.1016/0370-2693(95)00933-c

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arXiv · hep-ph/9507277

Off-shell $W$-pair production in $e^+ e^-$-annihilation. Initial state radiation

D. Bardin·M. Bilenky·A. Olchevski·T. Riemann

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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 $W$-pair production. This result generalizes the convolution formula, which is known from the description of the $Z$ resonance, to the case of the production of two $W$-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 $\sqrt{s}$=1~TeV and draw numerical conclusions on their influence on the $W$-mass determination at LEP~200. Table~1 and figure~5 are revised after correcting the analytical formulae for the nonuniversal corrections.

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D. Bardin, M. Bilenky, A. Olchevski, T. Riemann. 1995-07-25. Off-shell $W$-pair production in $e^+ e^-$-annihilation. Initial state radiation. https://doi.org/10.1016/0370-2693(95)00933-c

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