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2 Born cross sections for

In this section we report, for the sake of completeness, the lowest order differential cross sections for the processes of fermionic pair production () considered in the first two sections of the article. The pure photon, interference and resonant contributions in the s--channel annihilation are given by the well--known formulae:

   

where is the fermion scattering angle and the resonant propagator:

is the fermion electric charge (in electron units), is the ratio of the fermion and electron coupling and to the , i.e. . The effective couplings can be simply derived from the measured widths through the tree level relation:

For the process of Bhabha scattering the lowest order contributions due to t--channel exchange can be taken into account by adding to the previous formulae (1)--(3) the following ones:

The above equations allow to compute the Born cross sections for leptonic pair production and include the inclusive production ( line--shape) as a particular case. Furthermore, they can also be used for hadronic final states provided that appropriate and K form factors are supplied as in [4].



Carlos E.Piedrafita