Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude

Abstract

As a first step in the aim of arriving at a differential description of neutral Higgs boson decays into heavy quarks, $h\to Q\bar{Q}X$, to second order in the QCD coupling ${\alpha }_S$, we have computed the $hQ\bar{Q}$ amplitude at the two-loop level in QCD for a general neutral Higgs boson which has both scalar and pseudoscalar couplings to quarks. This amplitude is given in terms of a scalar and a pseudoscalar vertex form factor, for which we present closed analytic expressions in terms of one-dimensional harmonic polylogarithms of maximum weight 4. The results hold for arbitrary four-momentum squared, $q^2$, of the Higgs boson and of the heavy quark mass, $m$. Moreover we derive the approximate expressions of these form factors near threshold and in the asymptotic regime $m^2/q^2\ll 1$.

arXiv comment56 pages, 2 figures

References in corpus (41)

• The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
• Harmonic Polylogarithms
• Differential Equations for Two-Loop Four-Point Functions
• New features of FORM
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Differential Equations for Feynman Graph Amplitudes
• Antenna Subtraction at NNLO
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Physics Interplay of the LHC and the ILC
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Higgs boson production in bottom quark fusion at next-to-next-to-leading order
• Multi-loop Amplitudes and Resummation
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Numerical Evaluation of Harmonic Polylogarithms
• High-precision calculation of multi-loop Feynman integrals by difference equations
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• The three loop on-shell renormalization of QCD and QED
• Fermionic decays of neutral MSSM Higgs bosons at the one-loop level
• Higgs-Boson Production in Association with Bottom Quarks at Next-to-Leading Order
• Improved SUSY QCD corrections to Higgs boson decays into quarks and squarks
• MSSM Higgs Decays to Bottom Quark Pairs revisited
• QCD Corrections to Scalar Production via Heavy Quark Fusion at Hadron Colliders
• Second Order QCD Corrections to Scalar and Pseudoscalar Higgs Decays into Massive Bottom Quarks
• The large top quark mass expansion for Higgs boson decays into bottom quarks and into gluons
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions
• Effective QCD Interactions of CP-odd Higgs Bosons at Three Loops
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• Decay widths of the neutral CP-even MSSM Higgs bosons in the Feynman-diagrammatic approach
• Quark Mass Effects in Fermionic Decays of the Higgs Boson in $O({\alpha }_s^2)$ Perturbative QCD
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions
• Two-Loop Electroweak Heavy-Fermion Corrections to Higgs-Boson Production and Decay
• QED vertex form factors at two loops
• Complete QCD Corrections of Order O(α_s^3) to the Hadronic Higgs Decay
• Higgs Decay to Top Quarks at O(α_s^2)
• Two--loop heavy Higgs corrections to the Higgs fermionic width
• Vertex diagrams for the QED form factors at the 2-loop level
• Two-loop $\mathrm{O}\left(G_F^2{M}_H^4\right)$ corrections to the fermionic decay rates of the Higgs boson
• QCD Corrections to Decay Distributions of Neutral Higgs Bosons with (In)definite CP Parity
• Two-loop $O(N_f{\alpha }_s^2)$ correction to the decay width of the Higgs boson to two massive fermions
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• Minimal Supersymmetric Higgs Boson Decay Rate in O(α_s^2) Perturbative QCD

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• Fully exclusive heavy quark-antiquark pair production from a colourless initial state at NNLO in QCD
• The complete singlet contribution to the massless quark form factor at three loops in QCD
• The three-loop singlet contribution to the massless axial-vector quark form factor
• Hadronic decays of Higgs boson at NNLO matched with parton shower
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