Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks

Abstract

For the vertex corrections to the partial decay rate $\Gamma (Z\to b\bar{b})$ involving the top quark only the leading terms of order $\alpha {\alpha }_s$ in the $1/M_t$ expansion are known. In this work we compute the missing next-to-leading corrections. Thus at $O(\alpha {\alpha }_s)$ the complete corrections to the decay of the Z boson into bottom quarks are at hand.

Latex, 11 pages, 1 figure included as ps-file. Two references changed. The complete paper is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ttp97/ttp97-52/ or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

References in corpus (7)

• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• Asymptotic Expansions in Momenta and Masses and Calculation of Feynman Diagrams
• Nonfactorizable QCD and Electroweak Corrections to the Hadronic Z Boson Decay Rate
• Quadratic Mass Corrections of Order ${\alpha }_s^3{m}_q^2/s$ to the Decay Rate of Z- and W- Bosons
• ${\cal O}(α\as \ln m_t^2)$ Non-Universal Corrections to the Decay Rate $\Gamma (Z\to b\bar{b})$
• An effective field theory approach to the QCD corrections to the large-$m_t$ $Zb\bar{b}$ vertex
• An estimate of the QCD corrections to the decay Z --> W u d

Cited by in corpus (219)

• Precision Electroweak Measurements on the Z Resonance
• Electroweak Measurements in Electron-Positron Collisions at W-Boson-Pair Energies at LEP
• The global electroweak fit at NNLO and prospects for the LHC and ILC
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Update of the global electroweak fit and constraints on two-Higgs-doublet models
• Higgs production and decay: Analytic results at next-to-leading order QCD
• Four-Loop Decoupling Relations for the Strong Coupling
• Quark and gluon form factors to three loops
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• ZFITTER v.6.21 - A Semi-Analytical Program for Fermion Pair Production in e+e- Annihilation
• Three-loop static potential
• Full top quark mass dependence in Higgs boson pair production at NLO
• Finite top quark mass effects in NNLO Higgs boson production at LHC
• Top-Quark Mediated Effects in Hadronic Higgs-Strahlung
• Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
• Revisiting the Global Electroweak Fit of the Standard Model and Beyond with Gfitter
• Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP Violation Parameter epsilon_K and Delta M_K
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• Gluon-induced Higgs-strahlung at next-to-leading order QCD
• Determination of the QCD Coupling ${\alpha }_s$
• Light MSSM Higgs boson mass to three-loop accuracy
• Electroweak Precision Observables, New Physics and the Nature of a 126 GeV Higgs Boson
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Higgs boson mass in supersymmetry to three loops
• On the Higgs boson pair production at the LHC
• Physics at the e+ e- Linear Collider
• Expansion by regions: revealing potential and Glauber regions automatically
• Virtual corrections to Higgs boson pair production in the large top quark mass limit
• ZFITTER: a semi-analytical program for fermion pair production in e+e- annihilation, from version 6.21 to version 6.42
• Gauge Coupling Beta Functions in the Standard Model to Three Loops
• Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution
• Geometric approach to asymptotic expansion of Feynman integrals
• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
• $\overline{\mathrm{MS}}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
• Top-mass effects in differential Higgs production through gluon fusion at order α_s^4
• Three Loop Top Quark Contributions to the rho Parameter
• Three-loop matching of the dipole operators for b -> s gamma and b -> s g
• Higgs boson pair production: top quark mass effects at NLO and NNLO
• Fermionic contributions to the three-loop static potential
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• FeynCalc 10: Do multiloop integrals dream of computer codes?
• Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• The Theory of Deeply Inelastic Scattering
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Complete QCD Corrections to Hadronic $Z$--Decays in Order ${\alpha }_s^4$
• Four-Loop QCD Corrections to the Rho Parameter
• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• Higher-order electroweak corrections to the partial widths and branching ratios of the Z boson
• Low energy moments of heavy quark current correlators at four loops
• Second Order QCD Corrections to $\Gamma (t\to Wb)$
• Results and Techniques of Multi-Loop Calculations
• Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders
• Three-loop QCD corrections to B_s -> mu^+ mu^-
• Complete electroweak two-loop corrections to Z boson production and decay
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• The MSSM confronts the precision electroweak data and the muon g-2
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
• The two-loop electroweak bosonic corrections to ${\sin }^2{\theta }_{\mathrm{eff}}^{\mathrm{b}}$
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Hadronic Higgs Production and Decay in Supersymmetry at Next-to-Leading Order
• Three-Loop Chromomagnetic Interaction in HQET
• Supersymmetric Higgs production in gluon fusion at next-to-leading order
• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
• Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO
• Automatic Computation of Feynman Diagrams
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• Two-loop heavy top corrections to the Z boson partial widths
• ep-Finite Basis of Master Integrals for the Integration-By-Parts Method
• Electroweak Precision Tests of the Standard Model after the Discovery of the Higgs Boson
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• The two-loop energy-momentum tensor within the gradient-flow formalism
• Superconducting quantum criticality of topological surface states at three loops
• Two-Loop Formfactors in Theories with Mass Gap and Z-Boson Production
• Anomalous magnetic moment with heavy virtual leptons
• The $n_f^2$ contributions to fermionic four-loop form factors
• Light quark mass effects in the on-shell renormalization constants
• Massive vector form factors to three loops
• Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• Completing the hadronic Higgs boson decay at order ${\alpha }_s^4$
• Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED
• Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level
• Higgs Decay to Gluons at NNLO
• Wilson coefficients for Higgs boson production and decoupling relations to $\mathcal{O}\left({\alpha }_s^4\right)$
• Simultaneous decoupling of bottom and charm quarks
• Double-Higgs boson production in the high-energy limit: planar master integrals
• $\text{tapir}$: A tool for topologies, amplitudes, partial fraction decomposition and input for reductions
• Precision Calculations in Supersymmetric Theories
• The Higgs boson at high $p_T$
• O(alpha_s^2) corrections to fermionic Higgs decays in the MSSM
• The Heavy Quark Form Factors at Two Loops
• Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment
• Dimensional Reduction applied to QCD at three loops
• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• Leading QCD-induced four-loop contributions to the $\beta$-function of the Higgs self-coupling in the SM and vacuum stability
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Analytic Computing Methods for Precision Calculations in Quantum Field Theory
• Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order
• Two-Loop Virtual Corrections to Drell-Yan Production at order alpha_s alpha^3
• Heavy Quark Form Factors at Three Loops in the Planar Limit
• Massive three-loop form factor in the planar limit
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• Two-loop matching coefficients for the strong coupling in the MSSM
• Matching QCD and HQET heavy-light currents at three loops
• The SUSY-QCD beta function to three loops
• Gauge coupling beta functions to four-loop order in the Standard Model
• Moments of heavy quark correlators with two masses: exact mass dependence to three loops
• Next-to-leading order electroweak corrections to $gg\to HH$ and $gg\to gH$ in the large-$m_t$ limit
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• $Gamma(H\to b\bar{b})$ to order $\alpha {\alpha }_s$
• Two-loop fermionic electroweak corrections to the Z-boson width and production rate
• The two-mass contribution to the three-loop pure singlet operator matrix element
• Two-loop electroweak correction of O(G_F M_t^2) to the Higgs-boson decay into photons
• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Theory of Z boson decays
• Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current
• Pseudo-scalar Higgs production at next-to-leading order SUSY-QCD
• The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O({\alpha }_s^3)$
• Deconfined criticality from the QED${}_3$-Gross-Neveu model at three loops
• The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Virtual corrections to $gg\to ZH$ in the high-energy and large-$m_t$ limits
• Results and techniques for higher order calculations within the gradient-flow formalism
• Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops
• Threshold production of unstable top
• Numerical multi-loop integrals and applications
• Large-m_c Asymptotic Behaviour of O(alpha_s^2) Corrections to B -> X_s gamma
• Complete Higgs mass dependence of top quark pair threshold production to order $\alpha {\alpha }_s$
• High-Energy Expansion of Two-Loop Massive Four-Point Diagrams
• Towards Higgs boson production in gluon fusion to NNLO in the MSSM
• Extension of the functionality of the symbolic program FORM by external software
• Analytic approximations of $2\to 2$ processes with massive internal particles
• The three-loop polarized pure singlet operator matrix element with two different masses
• Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current
• Massive three-loop form factors: anomaly contribution
• Electroweak effects in the $B^0-{\bar{B}}^0$ mixing
• The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups
• Non factorizable $O(\alpha {\alpha }_s)$ corrections to the process $Z\to b\bar{b}$
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• Renormalization aspects of N=1 Super Yang-Mills theory in the Wess-Zumino gauge
• NNLO QCD counterterm contributions to $B$ \to $X_s\gamma$ for the physical value of $m_c$
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha)^5 to the Lamb shift
• Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD
• Four-loop QCD $\beta$-function with different fermion representations of the gauge group
• Two-Loop Rational Terms in Yang-Mills Theories
• On Ambiguities and Divergences in Perturbative Renormalization Group Functions
• Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit
• Unification scale vs. electroweak-triplet mass in the SU(5) + 24_F model at three loops
• The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$
• Corrections of Order $\alpha {\alpha }_s$ to W Boson Decays
• Two-Loop $\mathcal{O}(\alpha {\alpha }_s)$ Corrections to the On-Shell Fermion Propagator in the Standard Model
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• Semileptonic decays in the limit of a heavy daughter quark
• Simplified leptoquark models for precision $l_i\to l_f\gamma$ experiments: two-loop structure of $O({\alpha }_S{Y}^2)$ corrections
• Rational Terms of UV Origin at Two Loops
• Relation between bottom-quark MS-bar Yukawa coupling and pole mass
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• Higher order QCD results for the fermionic contributions of the Higgs-boson decay into two photons and the decoupling function for the MSbar renormalized fine-structure constant
• The width difference in the $B-\bar{B}$ system at next-to-next-to-leading order of QCD
• The VVA correlator at three loops in perturbative QCD
• Two-loop QCD penguin contribution to the width difference in $B_s-{\bar{B}}_s$ mixing
• Effective electroweak Hamiltonian in the gradient-flow formalism
• Reduction and evaluation of two-loop graphs with arbitrary masses
• Three-loop form factors for Higgs boson pair production in the large top mass limit
• $\mathcal{O}(\alpha {\alpha }_s)$ corrections to the $\gamma t\bar{t}$ vertex at the top quark threshold
• Colour octet potential to three loops
• Recent Progress in Perturbative Quantum Field Theory
• Hadronic vacuum polarization using gradient flow
• Strong-Coupling Constant at Three Loops in Momentum Subtraction Scheme
• Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order
• O(α_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM
• GRIFFIN: A C++ library for electroweak radiative corrections in fermion scattering and decay processes
• Electroweak Precision Observables within a Fourth Generation Model with General Flavour Structure
• Novel Method to Reliably Determine the QCD Coupling from $R_{\mathrm{uds}}$ Measurements and its effects to Muon $g-2$ and $\alpha (M_Z^2)$ within the Tau-Charm Energy Region
• Decoupling constant for ${\alpha }_s$ and the effective gluon-Higgs coupling to three loops in supersymmetric QCD
• Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium
• Third order correction to semileptonic $b\to u$ decay: fermionic contributions
• Moments of heavy-light current correlators up to three loops
• Three-loop anomalous dimensions for squarks in supersymmetric QCD
• Higher order hadronic and leptonic contributions to the muon $g-2$
• Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
• Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• $Z$-boson hadronic decay width up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections using the single-scale approach of the principle of maximum conformality
• Dominant two-loop electroweak corrections to the hadroproduction of a pseudoscalar Higgs boson and its photonic decay
• An effective field theory approach to the electroweak corrections at LEP energies
• Three-loop vertex integrals at symmetric point
• $B_s\to {\mu }^{+}{\mu }^{-}$ in a Two-Higgs-Doublet Model with flavour-changing up-type Yukawa couplings
• Numerical Evaluation of Two-Loop Integrals in FDR
• Three-Loop Calculation of the Higgs Boson Mass in Supersymmetry
• Non-relativistic high-energy physics: top production and dark matter annihilation
• Two-Loop Electroweak Corrections to the A^0 gamma gamma and A^0 g g Couplings of the CP-Odd Higgs Boson
• Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories
• Dark origin of quark flavor hierarchy and mixing
• Predictions for Fermion Pair Production at e+e- Colliders
• Two-loop gradient-flow renormalization of scalar QCD
• Higgs boson decay into photons at four loops
• Theoretical uncertainties for measurements of alpha_s from electroweak observables
• Three-loop topology analysis of neutral B-meson mixing with tapir
• Magnetic moment of a bound electron
• Singlet and non-singlet three-loop massive form factors
• FeAmGen.jl: A Julia Program for Feynman Amplitude Generation
• $BR(\bar{B}\to X_s\gamma )$: First Next-to-Next-to-Leading Order Results
• Applications of the Perturbative Gradient Flow
• Two-Loop Rational Terms for Spontaneously Broken Theories
• Momentum expansion of massive two-loop Feynman graphs around a finite value
• Three loop QCD corrections to heavy quark form factors
• General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order
• Penguin diagrams in the charm sector in K+ --> pi+ nu anti-nu
• The gradient flow formulation of the electroweak Hamiltonian
• Rational terms in two-loop calculations
• Monte Carlo Event Generators for Future Lepton Colliders
• Complete next-to-next-to-leading order QCD corrections to the decay matrix in $\mathbf{B}$-meson mixing at leading power
• Multi-Loop Results, Charm- and Bottom-Quark Masses and the Strong Coupling Constant