Radiative Correction Effects of a Very Heavy Top

Abstract

If the top is very heavy, m_t >> M_Z, the dominant radiative correction effects in all electroweak precision tests can be exactly characterized in terms of two quantities, the rho-parameter and the GIM violating Z -> b bbar coupling. These quantities can be computed using the Standard Model Lagrangian with vanishing gauge couplings. This is done here up to two loops for arbitrary values of the Higgs mass.

9 pages, report IFUP-TH 20/92

Cited by in corpus (110)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays
• ZFITTER v.6.21 - A Semi-Analytical Program for Fermion Pair Production in e+e- Annihilation
• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• Electroweak Precision Observables, New Physics and the Nature of a 126 GeV Higgs Boson
• On the Standard Model prediction for BR(B{s,d} to mu+ mu-)
• Electroweak gauge bosons self--energies: complete QCD corrections
• Novel Approach to Confront Electroweak Data and Theory
• ZFITTER: a semi-analytical program for fermion pair production in e+e- annihilation, from version 6.21 to version 6.42
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff
• Reduction of general two-loop self-energies to standard scalar integrals
• Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model
• MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections
• Electroweak two-loop corrections to the effective weak mixing angle
• Complete fermionic two-loop results for the M_W-M_Z interdependence
• Three Loop Top Quark Contributions to the rho Parameter
• Two-loop heavy top effects on the MZ-MW interdependence
• On the Precise Determination of the Fermi Coupling Constant from the Muon Lifetime
• Incorporation of QCD Effects in Basic Corrections of the Electroweak Theory
• The Weak Charge of the Proton and New Physics
• Complete Two-Loop Electroweak Fermionic Corrections to sin^2(theta_eff) and Indirect Determination of the Higgs Boson Mass
• A Three Site Higgsless Model
• $\text{HEPfit}$: a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Electroweak corrections to hadronic production of W bosons at large transverse momenta
• Higher-order electroweak corrections to the partial widths and branching ratios of the Z boson
• Four-Loop QCD Corrections to the Rho Parameter
• Complete Two Loop Electroweak Contributions to the Muon Lifetime in the Standard Model
• Complete electroweak two-loop corrections to Z boson production and decay
• Impact of the recent measurements of the top-quark and W-boson masses on electroweak precision fits
• Universal extra dimensions and Z->b bar-b
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• Three-Loop Leading Top Mass Contributions to the rho Parameter
• Precision Studies of Observables in pp->W->l nu and pp->gamma,Z->l+l- processes at the LHC
• A magic connection between massive and massless diagrams
• ${\sin }^2{\theta }_W(M_Z)$ ~in the MSSM and Unification of Couplings
• Two-Loop Electroweak Heavy-Fermion Corrections to Higgs-Boson Production and Decay
• Global analysis of electroweak data in the Standard Model
• One-loop weak corrections to hadronic production of Z bosons at large transverse momenta
• Two-loop heavy top corrections to the Z boson partial widths
• Electroweak Precision Tests of the Standard Model after the Discovery of the Higgs Boson
• Calculation of two-loop self-energies in the electroweak Standard Model
• Two-Loop Large-$m_t$ Electroweak Corrections to $K\to \pi \nu \bar{\nu }$ for Arbitrary Higgs Boson Mass
• Zero-threshold expansion of two-loop self-energy diagrams
• QCD Corrections in two-Higgs-doublet extensions of the Standard Model with Minimal Flavor Violation
• Hadronic Uncertainties versus New Physics for the $W$ boson Mass and Muon $g-2$ Anomalies
• Current Algebra Approach to Heavy Top Effects in $Z\to b+\bar{b}$
• Precision Physics at LEP
• Two-loop electroweak fermionic corrections to sin^2 theta_{eff}^{b anti-b}
• Update of the MCSANC Monte Carlo Integrator, v.1.20
• Precise calculation of the W boson pole mass beyond the Standard Model with FlexibleSUSY
• Violation of custodial symmetry from W-boson mass measurements
• Two-loop fermionic electroweak corrections to the Z-boson width and production rate
• TOPAZ0 2.0 - A Program for Computing De-Convoluted and Realistic Observables Around the $Z^0$ Peak
• Simple Formulae for Sin^2 theta_eff^lept, M_W, Gamma_l, and their Physical Applications
• Theory of Z boson decays
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Higgs boson phenomenology and VEV shift in the RS scenario
• Numerical multi-loop integrals and applications
• Rigid invariance as derived from BRS invariance: The abelian Higgs model
• Logarithmic SUSY electroweak effects on four-fermion processes at TeV energies
• Extra dimensions at the one loop level: Z -> b,b(bar) and B-B(bar) mixing
• Theoretical Aspects of Standard-Model Higgs-Boson Physics at a Future e^+ e^- Linear Collider
• Tensor reduction of two-loop vacuum diagrams and projectors for expanding three-point functions
• T-parity, its problems and their solution
• Anomalous gtt couplings in the Littlest Higgs Model with T-parity
• Calculation of fermionic two-loop contributions to muon decay
• Threshold effects and radiative electroweak symmetry breaking in $SU(5)$ extensions of the MSSM
• Electroweak radiative corrections in Z boson decays
• Two-loop electroweak top corrections: are they under control?
• Reconciling the LEP and Slac Measurements of Sin^2(Θ_W)
• Custodial Isospin Violation in the Lee-Wick Standard Model
• Calculation of two-loop top-quark and Higgs-boson corrections in the electroweak Standard Model
• The Standard Model at 200 GeV
• Large-N and Vacuum Alignment in Topcolor Models
• Refined Analysis of the Electroweak Precision Data
• On the asymptotic $\mathcal{O}(\alpha {\alpha }_S)$ behavior of the electroweak gauge bosons vacuum polarization functions for arbitrary quark masses
• Z to b bbar and Chiral Currents in Higgsless Models
• Evidence for Bosonic Electroweak Corrections in the Standard Model
• Patterns of Custodial Isospin Violation from a Composite Top
• Electroweak Precision Observables within a Fourth Generation Model with General Flavour Structure
• First determination of the quark mixing matrix element Vtb independent of assumptions of unitarity
• Three-loop QCD corrections to the electroweak boson masses
• On normalization of QCD effects in $O(m_t^2)$ electroweak corrections
• The Effective Weak Mixing Angle in the MSSM
• Indirect determinations of the top quark mass
• $Ø(\GF^2\Mt^4)$ Electroweak Radiative Corrections to the $\PZ\Pb\Pbbar$ Vertex
• Two-Loop Quark Self-Energy in a New Formalism: (I) Overlapping Divergences
• Complete O(N_f alpha^2) Weak Contributions to the Muon Lifetime
• Beautiful mirrors for a pNGB Higgs
• The Values of $m_t$ and $\overline{{\alpha }_s}$ Derived from the Non-Observation of Electroweak Radiative Corrections at LEP: Global Fit
• Electroweak effects in polarized muon-electron scattering
• Precision Electroweak Constraints on the N=3 Lee-Wick Standard Model
• Two-Loop Results for M_W in the Standard Model and the MSSM
• The Nonsymmetric Kaluza-Klein Theory and Modern Physics. A Novel Approach
• Supersymmetric structure of electroweak Sudakov corrections
• Bounds on models with one latticized extra dimension
• The Goldstone boson equivalence theorem with fermions
• On the Choice of Dispersion Relation to Calculate the QCD Correction to $Γ(H\to \ell^+\ell^-)
• Resummed corrections to the ρparameter due to a finite width of the top quark
• Constraints on Little Higgs with Fully-Radiative Electroweak Symmetry Breaking
• Dependence of Electroweak Parameters on the Definition of the Top-Quark Mass
• Electroweak interactions: a theoretical overview
• Monte-Carlo study of the $\Delta \rho$ parameter
• Triviality, perturbation theory and $Z\to b\overline{b}$
• Heavy top renormalon contribution to fermion propagators
• The Limits of Custodial Symmetry