$O(\alpha \alpha_s^2)$ correction to the electroweak $\rho$ parameter
High Energy Physics - Phenomenology
2011-01-13 v2
Abstract
The three-loop QCD contributions to the vacuum polarization functions of the and 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 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 parameter is performed.
Keywords
Cite
@article{arxiv.hep-ph/9406363,
title = {$O(\alpha \alpha_s^2)$ correction to the electroweak $\rho$ parameter},
author = {L. Avdeev and J. Fleischer and S. Mikhailov and O. Tarasov},
journal= {arXiv preprint arXiv:hep-ph/9406363},
year = {2011}
}
Comments
9 pages, LaTeX. This is the corrected version with $\zeta(4)$ coefficient fixed