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Expansion of bound state energies in powers of m/M and (1-m/M)
Ian Blokland, Andrzej Czarnecki, Kirill Melnikov
Elaborating on a previous letter, we use a new approach to compute energy levels of a non-relativistic bound-state of two constituents, with masses m and M, by systematic expansion…
Semileptonic b --> u decays: lepton invariant mass spectrum
Andrzej Czarnecki, Kirill Melnikov
We compute O(alpha_s^2) QCD corrections to the lepton invariant mass spectrum in the decay b --> u l nu_l, relevant for the determination of the CKM matrix element |V_{ub}|. Our me…
Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
Ian Blokland, Andrzej Czarnecki, Kirill Melnikov
We derive an analytic result for the pion pole contribution to the light-by-light scattering correction to the anomalous magnetic moment of the muon, . Using the ve…
Threshold expansion for heavy-light systems and flavor off-diagonal current-current correlators
Andrzej Czarnecki, Kirill Melnikov
An expansion scheme is developed for Feynman diagrams describing the production of one massive and one massless particle near the threshold. As an example application, we compute t…
A Canonical Hamiltonian Derivation of Hawking Radiation
Kirill Melnikov, Marvin Weinstein
We present a derivation of Hawking radiation based on canonical quantization of a massless scalar field in the background of a Schwarzschild black hole using Lemaitre coordinates a…
Charmonium decays: J/psi --> e+e- and eta_c --> gamma gamma
Andrzej Czarnecki, Kirill Melnikov
We compute the O(alpha_s^2) correction to the decay rate eta_c --> gamma gamma and discuss its implications for precision quarkonium physics. We study the suitability of the ratio…
Top Quark Threshold Production at a gamma-gamma Collider at Next-to-Next-to-Leading Order
Andrzej Czarnecki, Kirill Melnikov
The next-to-next-to-leading order (NNLO) QCD corrections to top quark threshold pair production in gamma-gamma collisions are computed. The NNLO effects turn out to be significant.…
On the theoretical uncertainties in the muon anomalous magnetic moment
Kirill Melnikov
I present a fairly detailed discussion of various contributions to the anomalous magnetic moment of the muon a_mu. I try to give an unbiased evaluation of the validity of the SM pr…
Radiative corrections to the Casimir force and effective field theories
Kirill Melnikov
Radiative corrections to the Casimir force between two parallel plates are considered in both scalar field theory of one massless and one massive field and in QED. Full calculation…