Order alpha3 ln(1/alpha) Corrections to Positronium Decays
Abstract
The logarithmically enhanced alpha3 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 alpha3 ln2(1/alpha) one, and is comparable to the nonlogarithmic O(alpha2) one. As for orthopositronium, the correction is positive and almost cancels the alpha3 ln2(1/alpha) one. The uncertainties in the theoretical predictions for the decay widths are reduced.
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