A Simple Approximation of the One-Loop Corrected Cross Section for $e^+e^-\to W^+W^-$ at LEP 2

Details A Simple Approximation of the One-Loop Corrected Cross Section for $e^+e^-\to W^+W^-$ at LEP 2 A Simple Approximation of the One-Loop Corrected Cross Section for $e^+e^-\to W^+W^-$ at LEP 2

1997-05-12

arxiv.org/abs/hep-ph/9705294v1

Phys.Lett. B409 (1997) 405-411

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX including 1 postscript figure, submitted to Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)00868-X

Using the SU(2) gauge coupling, $g_{W^\pm} (M^2_{W^\pm})$, at the high-energy scale of $M_{W^\pm}$, defined by the (theoretical value of the) leptonic W-width, rather than using the low-energy value, defined via the Fermi coupling, $G_\mu$, in the Born approximation, and supplementing with Coulomb corrections and initial state radiation, errors with respect to the exact one-loop results for the differential cross section of $e^+e^-\to W^+W^-$ are below 1% at LEP 2 energies at all $W^+W^-$ production angles. A similar procedure is suggested to incorporate leading bosonic loop effects into four-fermion production in the fermion-loop scheme. The resulting accuracy below 1% is sufficient for LEP 2 experiments.

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