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Decoupling constant for α s and the effective gluon-Higgs coupling to three loops in supersymmetric QCD

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Abstract

We compute the three-loop QCD corrections to the decoupling constant for α 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 α 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.

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Authors and Affiliations

  1. Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), 76128, Karlsruhe, Germany

    Alexander Kurz, Matthias Steinhauser & Nikolai Zerf

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  1. Alexander Kurz
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  2. Matthias Steinhauser
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  3. Nikolai Zerf
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Correspondence to Matthias Steinhauser.

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Kurz, A., Steinhauser, M. & Zerf, N. Decoupling constant for α s and the effective gluon-Higgs coupling to three loops in supersymmetric QCD. J. High Energ. Phys. 2012, 138 (2012). https://doi.org/10.1007/JHEP07(2012)138

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  • DOI: https://doi.org/10.1007/JHEP07(2012)138

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