O(N_f alpha^2) Electromagnetic Charge Renormalization in the Standard Model

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The O(N_f alpha^2) electroweak radiative corrections to the Thomson scattering matrix element are calculated for a general renormalization scheme with massless fermions. All integrals can be evaluated exactly in dimensional regularization which in several cases yields new results that are remarkably simple in form. A number of stringent internal consistency checks are performed. The Z-gamma mixing complicates the calculation of 1-particle reducible diagrams considerably at this order and a general treatment of this problem is given. Conditions satisfied by O(N_f alpha^2) counterterms are derived and may be applied to other calculations at this order.
29 pages LaTeX. 6 figures. Uses amsmath.sty, cite.sty and epsfig.sty

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