Two-loop matching coefficients for the strong coupling in the MSSM

Abstract

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 ${\alpha }_s(M_Z)$.

22 pages, 8 figures (13 ps/eps-files)

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
• High-Precision Predictions for the MSSM Higgs Sector at O(alpha_b alpha_s)
• The Reconstruction of Supersymmetric Theories at High Energy Scales
• Supersymmetric Higgs production in gluon fusion at next-to-leading order
• Reconstructing Supersymmetric Theories by Coherent LHC / LC Analyses

Cited by in corpus (31)

• Light MSSM Higgs boson mass to three-loop accuracy
• Higgs boson mass in supersymmetry to three loops
• FlexibleSUSY -- A spectrum generator generator for supersymmetric models
• FlexibleSUSY 2.0: Extensions to investigate the phenomenology of SUSY and non-SUSY models
• Higgs-mass predictions in the MSSM and beyond
• O(alpha_s^2) corrections to fermionic Higgs decays in the MSSM
• Dimensional Reduction applied to QCD at three loops
• One-loop corrections to neutralino-stop coannihilation revisited
• Higher Order Corrections and Unification in the Minimal Supersymmetric Standard Model: SOFTSUSY3.5.0
• Matching coefficients for alpha_s and m_b to O(alpha_s^2) in the MSSM
• Heavy Scalar Top Quark Decays in the Complex MSSM: A Full One-Loop Analysis
• QCD threshold corrections for gluino pair production at hadron colliders
• Squark Production and Decay matched with Parton Showers at NLO
• Towards Higgs boson production in gluon fusion to NNLO in the MSSM
• Running of ${\alpha }_s$ and $m_b$ in the MSSM
• Gluino Decays in the Complex MSSM: A Full One-Loop Analysis
• Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD
• Minimal Supersymmetric SU(5) and Gauge Coupling Unification at Three Loops
• Heavy Higgs Decays into Sfermions in the Complex MSSM: A Full One-Loop Analysis
• Running mass of the b-quark in QCD and SUSY QCD
• The light CP-even MSSM Higgs mass including N${}^3$LO+N${}^3$LL QCD corrections
• Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion
• Refined gluino and squark pole masses beyond leading order
• O(α_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM
• Complete next-to-leading order gluino contributions to b--> s gamma and b--> s g
• Decoupling constant for ${\alpha }_s$ and the effective gluon-Higgs coupling to three loops in supersymmetric QCD
• On the electroweak contribution to the matching of the strong coupling constant in the SM
• O(alpha_s alpha_t) (non)decoupling effects within the top-sector of the MSSM
• Radiative corrections to stop-antistop annihilation into gluons and light quarks
• Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions