Higgs Decay into Gluons up to O(α_s^3 G_F m_t^2)

Abstract

The decay of the Standard Model Higgs boson in the intermediate-mass range into gluons is considered where special emphasis is put on the influence of the leading electroweak corrections proportional to G_F m_t^2. An effective Lagrangian approach is used where the top quark is integrated out. The evaluation of the coefficient function is performed using two different methods. The first one is concerned with the direct evaluation of the vertex diagrams and the second method is based on a low-energy theorem. In a first step the tools needed for the computation are provided namely the renormalization constants of the QCD Lagrangian are computed up to O(α_s^2 G_F m_t^2). Also the decoupling constants for the strong coupling constant α_s and the light quark masses relating the quantities of the full theory to the corresponding quantities of the effective one are evaluated up to order α_s^2 G_F m_t^2.

20 pages (revtex), 3 figures

References in corpus (7)

• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• QCD Effects in Higgs Physics
• Higgs Decay to Order α_s^4
• Effective QCD Interactions of CP-odd Higgs Bosons at Three Loops
• Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Hadronic Higgs Decays
• Two-loop three-gluon vertex in zero-momentum limit
• Complete QCD Corrections of Order O(α_s^3) to the Hadronic Higgs Decay

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• Results and Techniques of Multi-Loop Calculations
• Supersymmetric Higgs production in gluon fusion at next-to-leading order
• Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level
• Dimensional Reduction applied to QCD at three loops
• Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order
• The SUSY-QCD beta function to three loops
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
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• Multi-step production of a diphoton resonance