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A renormalization scheme for the electroweak standard model is presented in which the electric charge and the masses of the gauge bosons, Higgs particle and fermions are used as physical parameters. The photon is treated such that quantum electrodynamics is contained as a simple substructure. Field renormalization respecting the gauge symmetry gives finite propagators and vertex functions. The Ward identities between the Green functions of the unphysical sector allow a renormalization that maintains the simple pole structure of the propagators in the t'Hooft‐Feynman gauge. We give a complete list of self energies and all renormalization constants also in the unphysical Higgs and ghost sector. Explicit results are given for the renormalized self energies, vertex functions and boxes that enter the evaluation of 1‐loop radiative corrections to fermionic processes. We calculate the 1‐loop radiative corrections to purely leptonic reactions like μ decay, vμμe scattering and μ pair production in e+e−annihilation. A test of the standard model is performed by comparing these low energy data with the results of the PP collider experiments for the W and Z boson masses.

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part in four dimensions with a two-dimensional integral representation show good large momentum expansions in closed form. Numerical comparisons for the finite variables, namely Lauricella functions. These results represent previous small and ever, that they can be described by generalized hypergeometric functions of several integrals cannot be expressed in terms of polylogarithms. Here it is shown, how propagators is studied in an arbitrary number of dimensions. As it is known these In this paper the class of N loop massive scalar self·energy diagrams with N + 1 Abstract Dec. 1993 Am Hubland, D·8700 Wiirzburg, Federal Republic of Germany to the above problem. To circumvent it two approaches have been followed in the that the diagrams in which three particle cuts arise, with all particles massive, lead ould reach a precision of about 5 >< 10"5 and the forward Bhabha measurement an high and will even improve in the future. For instance, the Z mass measurementsThe precision of the experiments testing the electroweak theory is at this moment