Higher-order electroweak corrections to the partial widths and branching ratios of the Z boson

Abstract

Recently, the calculation of fermionic electroweak two-loop corrections to the total width of the Z boson and hadronic Z-peak cross-section in the Standard Model has been presented in arXiv:1310.2256, where "fermionic" refers to diagrams with closed fermion loops. Here, these results are complemented by presenting contributions of the same order for the Z-boson partial widths, which are the last missing pieces for a complete description of Z-pole physics at the fermionic two-loop order. The definition of the relevant observables and the calculational techniques are described in detail. Numerical results are presented conveniently in terms of simple parametrization formulae. Finally, the remaining theoretical uncertainties from missing higher-order corrections are analyzed and found to be small compared to the current experimental errors.

20 pages, 4 figures; v2: few typos corrected; v3: typo in (37) corrected; v4: typo in (25) corrected

References in corpus (8)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Electroweak two-loop corrections to the effective weak mixing angle
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• Bosonic Corrections to The Effective Weak Mixing Angle at O(alpha^2)
• Two-loop fermionic electroweak corrections to the Z-boson width and production rate
• The effective electroweak mixing angle ${\sin }^2{\theta }_{eff}$ with two-loop bosonic contributions
• Numerical evaluation of multi-loop integrals using subtraction terms

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