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Expansion of bound-state energies in powers of m/M
Andrzej Czarnecki, Kirill Melnikov
We describe a new approach to computing energy levels of a non-relativistic bound-state of two constituents with masses M and m, by a systematic expansion in powers of m/M. After d…
O(alpha^3 ln alpha) corrections to muonium and positronium hyperfine splitting
Kirill Melnikov, Alexander Yelkhovsky
We compute O(alpha^3 ln alpha) relative corrections to the ground state hyperfine splitting of a QED two body bound state with different masses of constituents. The general result…
O(alpha^3 ln alpha) corrections to positronium decay rates
Kirill Melnikov, Alexander Yelkhovsky
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 nonrelativi…
Anomalous magnetic moment of a bound electron
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
We study binding corrections to the gyromagnetic factor g_e of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta g_r…
The three loop on-shell renormalization of QCD and QED
Kirill Melnikov, Timo van Ritbergen
We describe a calculation of the on-shell renormalization factors in QCD and QED at the three loop level. Explicit results for the fermion mass renormalization factor Zm and the on…
Top-Antitop Pair Production close to Threshold: Synopsis of recent NNLO Results
A. H. Hoang, M. Beneke, K. Melnikov +10
Using non-relativistic effective theories, new next-to-next-to-leading order (NNLO) QCD corrections to the total production cross section at the Linear Collider have been…
The three loop relation between the \bar {MS} and the pole quark masses
Kirill Melnikov, Timo van Ritbergen
The analytic relation between the \bar {MS} and the pole quark masses is computed to O(α_s^3) in QCD. Using this exact result, the accuracy of the large β_0 approximation is critic…
Contribution of the direct decay to the process at DANE
K. Melnikov, F. Nguyen, B. Valeriani +1
The potential of DAPHNE to explore direct radiative decay is studied in detail. Predictions of different theoretical models for this decay are compared. We find th…