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The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen
Kirill Melnikov, Timo van Ritbergen
The last unknown contribution to hydrogen energy levels at order m alpha ^7, due to the slope of the Dirac form factor at three loops, is evaluated in a closed analytical form. The…
alpha^2 corrections to parapositronium decay: a detailed description
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
We present details of our recent calculation of alpha^2 corrections to the parapositronium decay into two photons. These corrections are rather small and our final result for the p…
Virtual annihilation contribution to orthopositronium decay rate
Gregory Adkins, Kirill Melnikov, Alexander Yelkhovsky
Order alpha^2 contribution to the orthopositronium decay rate due to one-photon virtual annihilation is found to be delta Gamma = (alpha/pi)^2 (pi^2 ln(alpha) - 0.8622(9))Gamma_LO.
Recent results with heavy quarks and light lepton bound states
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
Recent results on second order quantum corrections to semileptonic decays of b quarks and positronium spectroscopy are reviewed. Similarities between calculations in these seemingl…
alpha^2 corrections to parapositronium decay
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
Two-loop QED corrections to the decay rate of parapositronium (p-Ps) into two photons are presented. We find Gamma(p-Ps --> 2 photons) = 7989.64(2)/microsec. The non-logarithmic O(…
Measuring sigma(e^+e^- \to hadrons) using tagged photon
S. Binner, J. H. Kuehn, K. Melnikov
We propose to use events with radiated photons in e^+e^- collisions to measure the total cross section of e^+ e^- \to hadrons as a function of the center of mass energy. The Monte…
O(m alpha^7 ln(alpha)^2) corrections to positronium energy levels
Kirill Melnikov, Alexander Yelkhovsky
We present a calculation of the O(m alpha^7 ln(alpha)^2) corrections to positronium energy levels. The result is used to estimate the current uncertainty in theoretical predictions…
Positronium S state spectrum: analytic results at O(m alpha^6)
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
We present an analytic calculation of the O(m alpha^6) recoil and radiative recoil corrections to energy levels of positronium nS states and their hyperfine splitting. A complete a…