Abstract

A method to accurately compute vacuum polarization to fourth-order in both the space-like and the time-like regions is described. It makes use of various techniques, including changes of variables and Padé approximants to accelerate convergence of sequences which occur in the computation. Various checks have been made which indicate that it is accurate to 9 significant figures. These include a sixth-order electron magnetic moment contribution and an order α 2 correction to the hyperfine structure of positronium.

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