Order alpha^3 ln(1/alpha) Corrections to Positronium Decays

Abstract

The logarithmically enhanced alpha^3 ln(1/alpha) corrections to the para- and orthopositronium decay widths are calculated in the framework of dimensionally regularized nonrelativistic quantum electrodynamics.In the case of parapositronium, the correction is negative, approximately doubles the effect of the leading logarithmic alpha^3 ln^2(1/alpha) one, and is comparable to the nonlogarithmic O(alpha^2) one. As for orthopositronium, the correction is positive and almost cancels the alpha^3 ln^2(1/alpha) one. The uncertainties in the theoretical predictions for the decay widths are reduced.

10 pages (Latex); missing term added, corrected coefficient B_p used, numerical results insignificantly changed

References in corpus (3)

• Order α^2 corrections to the decay rate of orthopositronium
• Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation
• Analytic evaluation of the amplitudes for orthopositronium decay to three photons to one-loop order

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