Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-09-06
Phys.Rev. D72 (2005) 095009
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 8 figures (13 ps/eps-files)
Scientific paper
When relating the strong coupling $\alpha_s$, measured at the scale of the $Z$ boson mass, to its numerical value at some higher energy, for example the scale of Grand Unification, it is important to include higher order corrections both in the running of $\alpha_s$ and the decoupling of the heavy particles. We compute the two-loop matching coefficients for $\alpha_s$ within the Minimal Supersymmetric Standard Model (MSSM) which are necessary for a consistent three-loop evolution of the strong coupling constant. Different scenarios for the hierarchy of the supersymmetric scales are considered and the numerical effects are discussed. We find that the three-loop effects can be as large as and sometimes even larger than the uncertainty induced by the current experimental accuracy of $\alpha_s(M_Z)$.
Harlander Robert
Mihaila Luminita
Steinhauser Matthias
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