Running of $α_s$ and $m_b$ in the MSSM

Details Running of $α_s$ and $m_b$ in the MSSM Running of $α_s$ and $m_b$ in the MSSM

2007-06-20

arxiv.org/abs/0706.2953v2

Phys.Rev.D76:055002,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 4 figures,references added

Scientific paper

10.1103/PhysRevD.76.055002

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 $m_b$.

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