Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Higgs Production and Decay at e^+e^- Colliders

Abstract

We evaluate the next-to-leading-order QCD corrections of O(alpha_s^2 G_F M_t^2) to the Standard-Model l^+l^-H, ZZH, and W^+W^-H couplings in the heavy-top- quark limit. Exploiting these results together with knowledge of Delta rho to the same order, we analyze a variety of production and decay processes of low- mass Higgs bosons at e^+e^- colliders. Specifically, we consider H->l^+l^-, H->l^+l^-l'^+l'^-, e^+e^-->ZH, Z->ff-barH, and e^+e^-->ff-barH, with f=l,nu. We work in the electroweak on-shell scheme formulated with G_F and employ both the on-shell and MS-bar definitions of the top-quark mass in QCD. As expected, the scheme and scale dependences are greatly reduced when the next-to-leading- order corrections are taken into account. In the on-shell scheme of top-quark mass renormalization, the O(alpha_s^2 G_F M_t^2) corrections act in the same direction as the O(alpha_s G_F M_t^2) ones and further increase the screening of the O(G_F M_t^2) terms. The coefficients of (alpha_s/pi)^2 range from -6.847 for the ZZH coupling to -16.201 for the l^+l^-H coupling. This is in line with the value -14.594 recently found for Delta rho.

22 pages (Latex), 3 figures (uuencoded compressed tarred Postscript). The complete paper, including figures, is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/, or via www at http://ttpux2.physik.uni-karlsruhe.de/cgi-bin/preprints/

References in corpus (16)

• Observation of Top Quark Production in Pbar-P Collisions
• Observation of the Top Quark
• Naive nonabelianization and resummation of fermion bubble chains
• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• Scale Setting in QCD and the Momentum Flow in Feynman Diagrams
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Leading electroweak correction to Higgs boson production at proton colliders
• QCD corrections to Higgs boson self--energies and fermionic decay widths
• Corrections of Order $\mathcal{O}(G_F{\alpha }_s{m}_t^2)$ to the Higgs Decay Rate $\Gamma (H\to b\bar{b})$
• Two-Loop $O({\alpha }_s{G}_F{m}_t^2)$ Correction to the $H\to b\bar{b}$ Decay Rate
• Production and decay of the Standard Model Higgs Bososn at LEP200
• Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to the Fermionic Decay Rates of the Standard-Model Higgs Boson
• LEADING VACUUM-POLARIZATION CONTRIBUTIONS TO THE RELATION BETWEEN POLE AND RUNNING MASSES
• Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to Higgs Production at LEP
• Renormalon contributions to δρ
• Four-fermion decay of Higgs bosons

Cited by in corpus (30)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Electroweak Radiative Corrections to Associated WH and ZH Production at Hadron Colliders
• Precise predictions for the Higgs-boson decay H -> W W/Z Z -> 4 leptons
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Radiative corrections to the semileptonic and hadronic Higgs-boson decays H -> W W/Z Z -> 4 fermions
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Aspects of CP violation in the HZZ coupling at the LHC
• Results and Techniques of Multi-Loop Calculations
• Two-Loop Electroweak Heavy-Fermion Corrections to Higgs-Boson Production and Decay
• Automatic Computation of Feynman Diagrams
• Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Hadronic Higgs Decays
• Electroweak radiative corrections to e+ e- -> nu nubar H
• Full order_alpha electroweak and order alpha_s corrections to e^+e^- --> t t H
• Heavy-Higgs Lifetime at Two Loops
• Virtual Top-Quark Effects on the H->bb-bar Decay at Next-to-Leading Order in QCD
• Complete QCD Corrections of Order O(α_s^3) to the Hadronic Higgs Decay
• Electroweak radiative corrections to single Higgs-boson production in e+e- annihilation
• Theoretical Aspects of Standard-Model Higgs-Boson Physics at a Future e^+ e^- Linear Collider
• Higgs Decay into Gluons up to O(α_s^3 G_F m_t^2)
• Low-mass Higgs decays to four leptons at one loop and beyond
• Radiative corrections to single Higgs boson production in $e^{+}{e}^{-}$ annihilation
• O(G_F^2 m_t^4) two-loop electroweak correction to Higgs-boson decay to bottom quarks
• Two-loop virtual top-quark effect on Higgs-boson decay to bottom quarks
• Single Higgs boson production at future linear colliders including radiative corrections
• Physics impact of ILC Higgs coupling measurements: the effect of theory uncertainties
• Theoretical Status of Higgs Production at Hadron Colliders in the SM
• Dependence of Electroweak Parameters on the Definition of the Top-Quark Mass
• Chasing the two-Higgs-doublet model via electroweak corrections at $e^{+}{e}^{-}$ colliders