English

Order alpha^7 ln(1/alpha) Contribution to Positronium Hyperfine Splitting

High Energy Physics - Phenomenology 2016-09-06 v1

Abstract

The logarithmically enhanced alpha^7 ln(1/alpha) contribution to the hyperfine splitting of the positronium ground-state energy levels is calculated in the framework of dimensionally regularized nonrelativistic quantum electrodynamics. The correction is negative and amounts to about 1/3 of the leading logarithmic alpha^7 ln^2(1/alpha) one. The discrepancy between the experimental measurements and the theoretical prediction is reduced.

Cite

@article{arxiv.hep-ph/0010159,
  title  = {Order alpha^7 ln(1/alpha) Contribution to Positronium Hyperfine Splitting},
  author = {Bernd A. Kniehl and Alexander A. Penin},
  journal= {arXiv preprint arXiv:hep-ph/0010159},
  year   = {2016}
}

Comments

8 pages (Latex)

R2 v1 2026-07-22T13:29:43.268Z