Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to the Fermionic Decay Rates of the Standard-Model Higgs Boson

Abstract

Low- and intermediate mass Higgs bosons decay preferably into fermion pairs. The one-loop electroweak corrections to the respective decay rates are dominated by a flavour-independent term of $\mathcal{O}(G_F{m}_t^2)$. We calculate the two-loop gluon correction to this term. It turns out that this correction screens the leading high-$m_t$ behaviour of the one-loop result by roughly 10\%. We also present the two-loop QCD correction to the contribution induced by a pair of fourth-generation quarks with arbitrary masses. As expected, the inclusion of the QCD correction considerably reduces the renormalization-scheme dependence of the prediction.

14 pages, latex, figures 2-5 appended, DESY 94-083

References in corpus (2)

• Higgs Bosons: Intermediate Mass Range at e+e- Colliders
• Electroweak gauge bosons self--energies: complete QCD corrections

Cited by in corpus (27)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Higgs boson mass and new physics
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Results and Techniques of Multi-Loop Calculations
• Strong and Yukawa two-loop contributions to Higgs scalar boson self-energies and pole masses in supersymmetry
• QCD corrections to Higgs boson self--energies and fermionic decay widths
• Two-Loop Electroweak Heavy-Fermion Corrections to Higgs-Boson Production and Decay
• Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Hadronic Higgs Decays
• Higgs boson mass in the Standard Model at two-loop order and beyond
• Virtual Top-Quark Effects on the H->bb-bar Decay at Next-to-Leading Order in QCD
• Mixed electroweak-QCD corrections to $e^{+}{e}^{-}\to HZ$ at Higgs factory
• Two-Loop $O({\alpha }_s{G}_F{m}_t^2)$ Correction to the $H\to b\bar{b}$ Decay Rate
• Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Higgs Production and Decay at e^+e^- Colliders
• Two-loop electroweak correction of O(G_F M_t^2) to the Higgs-boson decay into photons
• Virtual Top Effects on Low-Mass Higgs Interactions at Next-to-Leading Order in QCD
• Two-loop $\mathrm{O}\left(G_F^2{M}_H^4\right)$ corrections to the fermionic decay rates of the Higgs boson
• Top-quark pole mass in the tadpole-free MS-bar scheme
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
• Low-mass Higgs decays to four leptons at one loop and beyond
• Two-Loop $\mathcal{O}({\alpha }_s^2)$ Correction to the $H\to b\bar{b}$ Decay Rate Induced by the Top Quark
• Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to Higgs Production at LEP
• O(G_F^2 m_t^4) two-loop electroweak correction to Higgs-boson decay to bottom quarks
• Two-Loop O(alpha_s G_F M_Q^2) Heavy-Quark Corrections to the Interactions between Higgs and Intermediate Bosons
• Propagator mixing renormalization for Majorana fermions
• Two-loop virtual top-quark effect on Higgs-boson decay to bottom quarks
• Two-Loop Electroweak Corrections to the A^0 gamma gamma and A^0 g g Couplings of the CP-Odd Higgs Boson
• Phenomenology of the Higgs at the hadron colliders: from the Standard Model to Supersymmetry