Higgs Decay to Top Quarks at O(α_s^2)

Abstract

Three-loop corrections to the scalar and pseudo-scalar current correlator are calculated. By applying the large momentum expansion mass terms up to order (m^2/q^2)^4 are evaluated analytically. As an application O(α_s^2) corrections to the decay of a scalar and pseudo-scalar Higgs boson into top quarks are considered. It is shown that for a Higgs mass not far above the $t\bar{t}$ threshold these higher order mass corrections are necessary to get reliable results.

arXiv commentLatex, 20 pages, 14 ps-figures. The complete paper, including figures, is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ , or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

References in corpus (11)

• The renormalization of the axial anomaly in dimensional regularization
• Correlator of the quark scalar currents and Γ_{tot}(H --> hadrons) at O(α_s^3) in pQCD
• Two-Photon Decay Widths of Higgs Particles
• Asymptotic Expansions in Momenta and Masses and Calculation of Feynman Diagrams
• Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff
• Second Order QCD Corrections to Scalar and Pseudoscalar Higgs Decays into Massive Bottom Quarks
• Quark Mass Effects in Fermionic Decays of the Higgs Boson in $O({\alpha }_s^2)$ Perturbative QCD
• QCD corrections to Higgs boson self--energies and fermionic decay widths
• Two-loop $O(N_f{\alpha }_s^2)$ correction to the decay width of the Higgs boson to two massive fermions
• Minimal Supersymmetric Higgs Boson Decay Rate in O(α_s^2) Perturbative QCD
• Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum Expansion

Cited by in corpus (31)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Effective lagrangian for the tbH^+ interaction in the MSSM and charged Higgs phenomenology
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Heavy Quark Current Correlators to O(α_s^2)
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Results and Techniques of Multi-Loop Calculations
• Automatic Computation of Feynman Diagrams
• Differential decay rates of CP-even and CP-odd Higgs bosons to top and bottom quarks at NNLO QCD
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Completing the hadronic Higgs boson decay at order ${\alpha }_s^4$
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• The Heavy Quark Form Factors at Two Loops
• Thermal quarkonium physics in the pseudoscalar channel
• $Gamma(H\to b\bar{b})$ to order $\alpha {\alpha }_s$
• Singlet Polarization Functions at O(α_s^2)
• Precision physics with inclusive QCD processes
• Interference Effects in the Decays of Spin-Zero Resonances into $\gamma \gamma$ and $t\bar{t}$
• Analytic Reconstruction of heavy-quark two-point functions at O(α_s^3)
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• Fully exclusive heavy quark-antiquark pair production from a colourless initial state at NNLO in QCD
• Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order
• Hadronic vacuum polarization using gradient flow
• Analytic decay width of the Higgs boson to massive bottom quarks at order ${\alpha }_s^3$
• Analytic decay width of the Higgs boson to massive bottom quarks at next-to-next-to-leading order in QCD
• Higgs boson pair production and decay at NLO in QCD: the $b\bar{b}\gamma \gamma$ final state
• Three-Loop OPE Wilson Coefficients of Dimension-Four Operators for (Axial-)Vector and (Pseudo-)Scalar Current Correlators
• Scale-invariant total decay width $\Gamma (H\to b\bar{b})$ using the novel method of characteristic operator
• Applications of the Perturbative Gradient Flow
• Two-photon exchange in leptophilic dark matter scenarios
• Higgs boson decay to massive bottom quarks at order ${\alpha }_s^4$ induced by top-quark Yukawa couplings