1206.6675 (Alexander Kurz et al.)

Decoupling constant for $α_s$ and the effective gluon-Higgs
coupling to three loops in supersymmetric QCD    [PDF]

Alexander Kurz, Matthias Steinhauser, Nikolai Zerf

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.

View original: http://arxiv.org/abs/1206.6675