Decoupling constant for ${\alpha }_s$ and the effective gluon-Higgs coupling to three loops in supersymmetric QCD

Abstract

We compute the three-loop QCD corrections to the decoupling constant for ${\alpha }_s$ which relates the Minimal Supersymmetric Standard Model to Quantum Chromodynamics with five or six active flavours. The new results can be used to study the stability of ${\alpha }_s$ evaluated at a high scale from the knowledge of its value at $M_Z$. We furthermore derive a low-energy theorem which allows the calculation of the coefficient function of the effective Higgs boson-gluon operator from the decoupling constant. This constitutes the first independent check of the matching coefficient to three loops.

21 pages, 5 figures, v2: figure with Feynman diagrams added, references added

References in corpus (3)

• Running of ${\alpha }_s$ and $m_b$ in the MSSM
• Running mass of the b-quark in QCD and SUSY QCD
• Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

Cited by in corpus (7)

• Precision Calculations in Supersymmetric Theories
• Unification scale vs. electroweak-triplet mass in the SU(5) + 24_F model at three loops
• Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion
• O(α_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM
• On the electroweak contribution to the matching of the strong coupling constant in the SM
• SLAM, a Mathematica interface for SUSY spectrum generators
• Higgs boson production in the SM and MSSM to NNLO and beyond