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Massive Quark Production in Electron Positron Annihilation to Order
K. G. Chetyrkin, A. H. Hoang, J. H. Kühn +2
Recent analytical and numerical results for the three-loop polarization function allow to present a phenomenological analysis of the cross section for massive quark production in e…
|Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme
Konstantin Chetyrkin, Mikolaj Misiak, Manfred Muenz
We consider |ΔF| = 1 (F = S,C or B) nonleptonic effective hamiltonian in a renormalization scheme which allows to consistently use fully anticommuting gamma_5 at any number of loop…
Beta functions and anomalous dimensions up to three loops
Konstantin Chetyrkin, Mikolaj Misiak, Manfred Muenz
We derive an algorithm for automatic calculation of perturbative -functions and anomalous dimensions in any local quantum field theory with canonical kinetic terms. The infrared…
Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
K. G. Chetyrkin, B. A. Kniehl, M. Steinhauser
If quantum chromodynamics (QCD) is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant alpha_s and the quark masses m_q exhibit discontinuities…
Complete QCD Corrections of Order O(α_s^3) to the Hadronic Higgs Decay
K. G. Chetyrkin, M. Steinhauser
We consider the decay of an intermediate mass Higgs boson into hadrons up to order O(α_s^3). The results from the diagrams containing only light degrees of freedom were recently co…
Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
K. G. Chetyrkin, B. A. Kniehl, M. Steinhauser
We present in analytic form the matching conditions for the strong coupling constant alpha_s^(n_f)(mu) at the flavour thresholds to three loops in the modified minimal-subtraction…