Orthopositronium lifetime at O(alpha) and O(alpha^3 ln(alpha)) in closed form

Abstract

Recently, the O(alpha) and O(alpha^3 ln(alpha)) 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 [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.

23 pages, 1 figure, several misprints corrected, reference updated, accepted for publication in Phys. Rev. A

References in corpus (7)

• An Improved Limit on Invisible Decays of Positronium
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Two-Loop Formfactors in Theories with Mass Gap and Z-Boson Production
• Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters
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• Orthopositronium lifetime: analytic results in O(alpha) and O(alpha^3 ln(alpha))
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• On the decays $B\to K^{(\ast )}+$ leptonium
• Positronium Decay into a Photon and Neutrinos
• Sunrise integral with two internal masses and pseudo-threshold kinematics in terms of elliptic polylogarithms