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Closed-form evaluation of integrals appearing in positronium decay

Closed-form evaluation of integrals appearing in positronium decay
Tewodros Amdeberhan, Victor H. Moll, Armin Straub — Journal of Mathematical Physics — Volume 50, Number 10, 2009, Pages 103528:1-6

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.

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BibTeX

@article{positroniumdecay-2009,
    author = {Tewodros Amdeberhan and Victor H. Moll and Armin Straub},
    title = {Closed-form evaluation of integrals appearing in positronium decay},
    journal = {Journal of Mathematical Physics},
    year = {2009},
    volume = {50},
    number = {10},
    pages = {103528:1--6},
    doi = {10.1063/1.3246615},
}