Study of single weak boson production in electron-positron scattering

The studies of the week boson production in electron-positron scattering are reviewed. At the lowest order of the Weinberg-Salam gauge theory, the cross sections for the various processes of the single weak boson production are computed by paying an attention on the gauge invariance at the high energies, or by calculating all the relevant Feynman diagrams, some of which have been neglected in the studies so far. A formulation is presented to compute the cross sections for the various processes,e ⁺ e ^?→WUD, whereW is the weak boson,WUD stands for \(W^ + \bar U D\) , or \(W^ - U \bar D\) , andU(D) represents the up (down) state of theSU(2) _L doublet. Also the upper bound of the contributions from the single weak boson production via the two photon process is estimated by using the real photon approximation.