Closed-form evaluation of integrals appearing in positronium decay

This article by Tewodros Amdeberhan, Victor H. Moll and Armin Straub has been published in Journal of Mathematical Physics (Volume 50, Issue 10, October 2009, 6 Pages) and is available at doi:10.1063/1.3246615.

Abstract

A theoretical prediction for the total width of the positronium decay in QED has been given by B. Kniehl et al. in the form of an expansion in Sommerfeld's fine-structure constant. The coefficients of this expansion are given in the form of two-dimensional definite integrals, with an integrand involving the polylogarithm function. We provide here an analytic expression for the one-loop contribution to this problem.

Download:

positronium.pdf