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On the 1‐Loop Renormalization of the Electroweak Standard Model and its Application to Leptonic Processes
Author(s) -
Böhm M.,
Spiesberger H.,
Hollik W.
Publication year - 1986
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19860341102
Subject(s) - physics , renormalization , electroweak interaction , propagator , particle physics , gauge boson , feynman diagram , higgs boson , standard model (mathematical formulation) , fermion , higgs sector , boson , quantum field theory , quantum electrodynamics , gauge theory , mathematical physics , gauge (firearms) , archaeology , history
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, vμ μ e 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 P P collider experiments for the W and Z boson masses.