Electroweak Precision Observables: Two-Loop Yukawa Corrections of Supersymmetric Particles

Abstract

The dominant electroweak two-loop corrections to the precision observables M_W and s_w^eff are calculated in the MSSM. They are obtained by evaluating the two-loop Yukawa contributions of O(alpha_t^2), O(alpha_t alpha_b), O(alpha_b^2) to the quantity Delta rho. The result, involving the contributions from Standard Model fermions, sfermions, Higgs bosons and higgsinos, is derived in the gauge-less limit for arbitrary values of the lightest CP-even Higgs boson mass. A thorough discussion of the parameter relations enforced by supersymmetry is given, and two different renormalization schemes are applied. Compared to the previously known result for the quark-loop contribution we find a shift of up to +8 MeV in M_W and -4 * 10^-5 in s_w^eff. Detailed numerical estimates of the remaining uncertainties of M_W and s_w^eff from unknown higher-order contributions are obtained for different values of the supersymmetric mass scale.

35 pages, 16 figures

References in corpus (54)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Search for the Standard Model Higgs Boson at LEP
• The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
• FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM
• Towards High-Precision Predictions for the MSSM Higgs Sector
• The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
• The Snowmass Points and Slopes: Benchmarks for SUSY Searches
• The Implementation of the Minimal Supersymmetric Standard Model in FeynArts and FormCalc
• Precise Prediction for the W-Boson Mass in the Standard Model
• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• Electroweak and supersymmetric two-loop corrections to (g-2)_μ
• Errata for "The Higgs Hunter's Guide"
• Two-Loop SUSY Corrections to the Anomalous Magnetic Moment of the Muon
• Automatic Loop Calculations with FeynArts, FormCalc, and LoopTools
• Electroweak gauge bosons self--energies: complete QCD corrections
• MSSM Higgs Physics at Higher Orders
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• High-Precision Predictions for the MSSM Higgs Sector at O(alpha_b alpha_s)
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Reduction of general two-loop self-energies to standard scalar integrals
• Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model
• QCD Corrections from Top Quark to Relations between Electroweak Parameters to Order ${\alpha }_s^2$
• Complete fermionic two-loop results for the M_W-M_Z interdependence
• Three Loop Top Quark Contributions to the rho Parameter
• Complete Two-Loop Electroweak Fermionic Corrections to sin^2(theta_eff) and Indirect Determination of the Higgs Boson Mass
• Supersymmetric contributions to electroweak precision observables: QCD corrections
• Physics Impact of GigaZ
• Complete Two Loop Bosonic Contributions to the Muon Lifetime in the Standard Model
• Leading QCD Corrections to Scalar Quark Contributions to Electroweak Precision Observables
• Complete Two Loop Electroweak Contributions to the Muon Lifetime in the Standard Model
• Indirect Sensitivities to the Scale of Supersymmetry
• Two-Loop Bosonic Electroweak Corrections to the Muon Lifetime and M_Z-M_W Interdependence
• Renormalization of the Minimal Supersymmetric Standard Model
• Three-Loop Leading Top Mass Contributions to the rho Parameter
• Bosonic Corrections to $\Delta r$ at the Two Loop Level
• Electroweak Precision Observables in the MSSM with Non-Minimal Flavor Violation
• Leading Electroweak Two-Loop Corrections to Precision Observables in the MSSM
• Three-Loop Electroweak Correction to the Rho Parameter in the Large Higgs Mass Limit
• The sfermion mass spectrum of the MSSM at the one-loop level
• Physics Impact of a Precise Determination of the Top Quark Mass at an e+e- Linear Collider
• The effective electroweak mixing angle ${\sin }^2{\theta }_{eff}$ with two-loop fermionic contributions
• FeynHiggs1.2: Hybrid MSbar/on-shell Renormalization for the CP-even Higgs Boson Sector in the MSSM
• Sensitivities to the SUSY Scale from Electroweak Precision Observables
• Precision Higgs Masses with FeynHiggs 2.2
• GigaZ: High Precision Tests of the SM and the MSSM
• Implications of Results from Z- and WW-Threshold Running
• Theoretical and Experimental Status of the Indirect Higgs Boson Mass Determination in the Standard Model
• Gauge invariance, gauge-parameter independence and properties of Green functions
• Precision Observables in the MSSM: Status and Perspectives
• Electroweak Precision Data - Global Higgs Analysis
• Two-loop contributions to electroweak precision observables in the MSSM
• Higher-order Results for Precision Observables in the Standard Model and the MSSM

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• Higher Order Corrections and Unification in the Minimal Supersymmetric Standard Model: SOFTSUSY3.5.0
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• Interdependence of the new "MUON G-2" Result and the $W$-Boson Mass
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