O(alpha^3 ln alpha) corrections to positronium decay rates
  We compute O(alpha^3 ln alpha) corrections to the decay rates of para- and orthopositronium into two and three photons, respectively. For this calculation we employ the nonrelativistic QED regularized dimensionally and we explain how in this framework the logarithms of the fine structure constant can be extracted. 
Kirill Melnikov and Alexander Yelkhovsky