A Simple approximation of the one loop corrected cross-section for e+ e- ---> W+ W- at LEP-2 - INSPIRE

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A Simple approximation of the one loop corrected cross-section for e+ e- ---> W+ W- at LEP-2

May, 1997

12 pages

Published in:

Phys.Lett.B 409 (1997) 405-411

e-Print:

hep-ph/9705294 [hep-ph]

DOI:

10.1016/S0370-2693(97)00868-X

Report number:

BI-TP-97-15

View in:

ADS Abstract Service

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Abstract:

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.

Note:

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

electron positron: annihilation
W: pair production
Born approximation: correction
Feynman graph: higher-order
channel cross section
differential cross section
numerical calculations
CERN LEP Stor: upgrade
200 GeV-cms

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