Running of ${\alpha }_s$ and $m_b$ in the MSSM

Abstract

A consistent evolution of the strong coupling constant ${\alpha }_s$ from $M_Z$ to the GUT scale is presented, involving three-loop running and two-loop decoupling. The two-loop transition from the MS- to the DR-scheme is properly taken into account. In the second part of the paper, the bottom quark mass in the DR-scheme at the electroweak/SUSY scale is evaluated with four-loop accuracy. We find that the three-loop effects are comparable to the experimental uncertainty both for ${\alpha }_s$ and $m_b$.

19 pages, 4 figures,references added

References in corpus (4)

• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Experimental Tests of Asymptotic Freedom
• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• Dimensional Reduction applied to QCD at three loops

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• Dimensional Reduction applied to QCD at higher orders
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions
• Dimensional Reduction Applied to Non-Supersymmetric Theories