Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-08-05
Nucl.Phys. B510 (1998) 61-87
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages (Latex), 4 figures (Postscript), some references added
Scientific paper
10.1016/S0550-3213(97)00649-4
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 at the flavour thresholds, which are controlled by so-called decoupling constants, zeta_g and zeta_m, respectively. Adopting the modified MS (MS-bar) scheme, we derive simple formulae which reduce the calculation of zeta_g and zeta_m to the solution of vacuum integrals. This allows us to evaluate zeta_g and zeta_m 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. m_h of zeta_g and zeta_m, respectively. Fully exploiting present knowledge of the anomalous dimensions of alpha_s and m_q, we thus calculate these effective couplings through four loops. Finally, we perform a similar analysis for the coupling of the Higgs boson to photons.
Chetyrkin K. G.
Kniehl Bernd A.
Steinhauser Matthias
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