Phys. Rev. A 80, 052501 (2009) [11 pages]Orthopositronium lifetime at O(α) and O(α3 ln α) in closed formReceived 8 September 2009; published 4 November 2009 Recently, the O(α) and O(α3 ln α) radiative corrections to the orthopositronium lifetime have been presented in closed analytical form, in terms of basic irrational numbers that can be evaluated numerically to arbitrary precision [ B. A. Kniehl, A. V. Kotikov and O. L. Veretin Phys. Rev. Lett. 101 193401 (2008)]. Here, we present the details of this calculation and reveal the nature of these new constants. We also list explicit transformation formulas for generalized polylogarithms of weight four, which may be useful for other applications. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.052501
DOI:
10.1103/PhysRevA.80.052501
PACS:
31.30.J−, 12.20.Ds, 36.10.Dr
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