O(α_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM

Abstract

In this paper we propose a method to compute the running top-Yukawa coupling in supersymmetric models with heavy mass spectrum based on the "running" and "decoupling" procedure. In order to enable this approach we compute the two-loop SUSY-QCD radiative corrections required in the decoupling process. The method has the advantage that large logarithmic corrections are automatically resummed through the Renormalization Group Equations. As phenomenological application we study the effects of this approach on the prediction of the lightest Higgs boson mass at three-loop accuracy. We observe a significant reduction of the renormalization scale dependence as compared to the direct method, that is based on the conversion relation between the running and pole mass for the top quark. The effect of resummation of large logarithmic contributions consists in an increased prediction for the Higgs boson mass, an observation in agreement with the previous analyses.

arXiv comment24 pages, 9 figures; one more figure added; reference list extended

References in corpus (66)

• FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM
• SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e+ e- colliders
• Precision Corrections in the Minimal Supersymmetric Standard Model
• SOFTSUSY: a program for calculating supersymmetric spectra
• New features of FORM
• The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
• SUSY Les Houches Accord: Interfacing SUSY Spectrum Calculators, Decay Packages, and Event Generators
• Effective lagrangian for the tbH^+ interaction in the MSSM and charged Higgs phenomenology
• The three loop relation between the \bar {MS} and the pole quark masses
• SUSY Les Houches Accord 2
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• QCD Decoupling at Four Loops
• Four-Loop Decoupling Relations for the Strong Coupling
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• On the O(alpha_t^2) two-loop corrections to the neutral Higgs boson masses in the MSSM
• Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry
• Complete On-Shell Renormalization Scheme for the Minimal Supersymmetric Higgs Sector
• On the neutral Higgs boson masses in the MSSM for arbitrary stop mixing
• CPsuperH: a Computational Tool for Higgs Phenomenology in the Minimal Supersymmetric Standard Model with Explicit CP Violation
• The one-loop renormalization of the MSSM Higgs sector and its application to the neutral scalar Higgs masses
• Soft supersymmetry breaking and finiteness
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Precision Measurements of Higgs Couplings: Implications for New Physics Scales
• Decoupling of the $\epsilon$-scalar mass in softly broken supersymmetry
• Light MSSM Higgs boson mass to three-loop accuracy
• Quark Mass and Field Anomalous Dimensions to $\mathcal{O}({\alpha }_s^5)$
• Electroweak gauge bosons self--energies: complete QCD corrections
• High-Precision Predictions for the MSSM Higgs Sector at O(alpha_b alpha_s)
• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• TSIL: a program for the calculation of two-loop self-energy integrals
• Precise Estimates of the Higgs Mass in Heavy SUSY
• QCD Corrections from Top Quark to Relations between Electroweak Parameters to Order ${\alpha }_s^2$
• Yukawa coupling beta-functions in the Standard Model at three loops
• Three Loop Top Quark Contributions to the rho Parameter
• CPsuperH2.0: an Improved Computational Tool for Higgs Phenomenology in the MSSM with Explicit CP Violation
• On the relation between the fermion pole mass and MSbar Yukawa coupling in the standard model
• Incorporation of QCD Effects in Basic Corrections of the Electroweak Theory
• Results and Techniques of Multi-Loop Calculations
• Complete Two Loop Bosonic Contributions to the Muon Lifetime in the Standard Model
• Two-Loop Bosonic Electroweak Corrections to the Muon Lifetime and M_Z-M_W Interdependence
• O(αα_s) correction to the pole mass of the t-quark within the Standard Model
• Supersymmetric Higgs Yukawa Couplings to Bottom Quarks at next-to-next-to-leading Order
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Two-loop self-energy master integrals on shell
• Supersymmetric Higgs production in gluon fusion at next-to-leading order
• The State of Supersymmetry after Run I of the LHC
• CPsuperH2.3: an Updated Tool for Phenomenology in the MSSM with Explicit CP Violation
• Three-Loop Corrections to the Higgs Boson Mass and Implications for Supersymmetry at the LHC
• Two-loop O(as^2) MSSM corrections to the pole masses of heavy quarks
• Precision Calculations in Supersymmetric Theories
• Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons
• High precision fundamental constants at the TeV scale
• O(alpha_s^2) corrections to fermionic Higgs decays in the MSSM
• Two-loop matching coefficients for the strong coupling in the MSSM
• The three-loop SSM $\beta$-functions
• The SUSY-QCD beta function to three loops
• Matching coefficients for alpha_s and m_b to O(alpha_s^2) in the MSSM
• Pole- versus MS-mass definitions in the electroweak theory
• Running mass of the b-quark in QCD and SUSY QCD
• Two-Loop $\mathcal{O}(\alpha {\alpha }_s)$ Corrections to the On-Shell Fermion Propagator in the Standard Model
• On the two-loop decoupling corrections to tau-lepton and b-quark running masses in the MSSM
• Decoupling constant for ${\alpha }_s$ and the effective gluon-Higgs coupling to three loops in supersymmetric QCD
• SLAM, a Mathematica interface for SUSY spectrum generators

Cited by in corpus (9)

• FlexibleSUSY 2.0: Extensions to investigate the phenomenology of SUSY and non-SUSY models
• Higgs-mass predictions in the MSSM and beyond
• A Review of Higgs Mass Calculations in Supersymmetric Models
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Higher Order Corrections and Unification in the Minimal Supersymmetric Standard Model: SOFTSUSY3.5.0
• Precise calculation of the W boson pole mass beyond the Standard Model with FlexibleSUSY
• Three-loop MSSM Higgs-Boson Mass Predictions and Regularization by Dimensional Reduction
• The light CP-even MSSM Higgs mass including N${}^3$LO+N${}^3$LL QCD corrections
• O(alpha_s alpha_t) (non)decoupling effects within the top-sector of the MSSM