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Precision measurements of properties of the electroweak W and Z-bosons provide strong constraints on the Standard Model (SM) and extensions thereof. This sensitivity crucially depends on the availability of accurate theoretical predictions for these quantities, including higher-order radiative corrections. This contribution gives a brief overview of available calculations and compares the estimate of theory uncertainties with the projected experimental precision of future e+e− collider proposals. Then it is shown how numerical Mellin–Barnes integrals can be used to evaluate higher-order loop integrals that depend on three or more independent mass and momentum scales. As a concrete physical application, the complete two-loop corrections to Z → bb̄ are considered.

Electroweak Bosonic 2-loop Corrections to the $Z$-pole Precision Observables