Quark Mass Corrections to the Z Boson Decay Rates

Abstract

The results of perturbative QCD evaluation of the ~m_f^2/M_Z^2 contributions to the decay rates in Z--->bb and Z--->hadrons for the quark masses m_f << M_Z are presented. The recent results due to the combination of renormalization group constraints and the results of several other calculations are independently confirmed by the direct computation. Some existing confusion in the literature is clarified. In addition, the calculated O(alpha_s^2) correction to the correlation function in the axial channel is a necessary ingredient for the yet uncalculated axial part of the O(alpha_s^3) mass correction to the Z decay rates. The results can be applied to the τhadronic width.

10 pages, LATeX, +1 figure available upon request, preprint OITS-554 (University of Oregon, USA, September 1994)

References in corpus (13)

• Evidence for Top Quark Production in $\bar{p}p$ Collisions at $\sqrt{s}=1.8$ TeV
• The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3
• Implications of the Partial Width Z->bb for Supersymmetry Searches and Model-Building
• Quark Mass Effects in Fermionic Decays of the Higgs Boson in $O({\alpha }_s^2)$ Perturbative QCD
• Quartic Mass Corrections to $R_{had}$
• Mass Corrections to the Tau Decay Rate
• Radiation of Heavy Quarks
• The alpha_s^3 correction to Gamma (Z^0 -> hadrons)
• The ${\alpha }_s^3$ Corrections to the Effective Neutral Current and to the Z Decay Rate in the Heavy Top Quark Limit
• $R_{had}$ at the $B$-factory
• Status of Higher-Order Corrections in the Standard Electroweak Theory
• Top Quark Contribution to Hadronic Decays of the Z-Boson at Alpha_s^2 in QCD
• The effect of new physics on R_b = Γ(Z->b bbar) / Γ(Z->hadrons)

Cited by in corpus (7)

• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Heavy Quark Current Correlators to O(α_s^2)
• Quadratic Mass Corrections of Order ${\alpha }_s^3{m}_q^2/s$ to the Decay Rate of Z- and W- Bosons
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• Light Gluino Contribution in Hadronic Decays of Z boson and tau lepton to O(alpha_s^3)
• Perturbative QCD Calculations of Total Cross Sections and Decay Widths in Hard Inclusive Processes
• Optimal renormalization and the extraction of the strange quark mass from moments of the $\tau$-decay spectral function