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

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

2000-04-28

arxiv.org/abs/hep-ph/0004267v2

Phys.Rev.Lett. 85 (2000) 1210; Erratum-ibid. 85 (2000) 3065

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevLett.85.1210

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.

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