Order alpha^3 ln(1/alpha) Corrections to Positronium Decays
High Energy Physics - Phenomenology
2009-10-31 v2
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.
Cite
@article{arxiv.hep-ph/0004267,
title = {Order alpha^3 ln(1/alpha) Corrections to Positronium Decays},
author = {Bernd A. Kniehl and Alexander A. Penin},
journal= {arXiv preprint arXiv:hep-ph/0004267},
year = {2009}
}
Comments
10 pages (Latex); missing term added, corrected coefficient B_p used, numerical results insignificantly changed