$O(αα_s^2)$ correction to the electroweak $ρ$ parameter

Details $O(αα_s^2)$ correction to the electroweak $ρ$ parameter $O(αα_s^2)$ correction to the electroweak $ρ$ parameter

1994-06-22

arxiv.org/abs/hep-ph/9406363v2

Phys.Lett.B336:560-566,1994; ERRATUM-ibid.B349:597-598,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTeX. This is the corrected version with $\zeta(4)$ coefficient fixed

Scientific paper

10.1016/0370-2693(94)90573-8

The three-loop QCD contributions to the vacuum polarization functions of the $Z$ and $W$ bosons at zero momentum are calculated. The top quark is considered to be massive and the other quarks massless. Using these results, we calculate the correction to the electroweak $\rho$ parameter. All computations are done in the framework of dimensional regularization as well as regularization by dimensional reduction. We use recurrence relations obtained by the method of integration by parts to reduce all integrals to a small set of master integrals. A comparison of the two-loop and three-loop QCD corrections to the $\rho$ parameter is performed.

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