1998/11/25 by B. A. Kniehl, Bernd A. Kniehl, Kniehl, B. A.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9811466
10 pages (Latex), 4 figures (Postscript), 1 style file, to appear in the Proceedings of the IVth International Symposium on Radiative Corrections (RADCOR 98), Barcelona, Spain, 8-12 September 1998, edited by J. Sola
arxiv created 1998/11/25 · openalex publication_date 1998/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
If QCD is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant alphas and the quark masses mq exhibit discontinuities at the flavour thresholds, which are controlled by so-called decoupling constants, zetag and zetam, respectively. Adopting the modified MS (MS-bar) scheme, we derive simple formulae which reduce the calculation of zetag and zetam to the solution of vacuum integrals. This allows us to evaluate zetag and zetam through three loops. We also establish low-energy theorems, valid to all orders, which relate the effective couplings of the Higgs boson to gluons and light quarks, due to the virtual presence of a heavy quark h, to the logarithmic derivatives w.r.t. mh of zetag and zetam, respectively. We also consider the effective QCD interaction of a CP-odd Higgs boson and verify the Adler-Bardeen nonrenormalization theorem at three loops.