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arXiv · 1401.1844

Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings

Bernd A. Kniehl·Oleg L. Veretin
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Abstract

We study the relationship between the $\overline{\mathrm{MS}}$ Yukawa coupling and the pole mass for the bottom and top quarks at the two-loop electroweak order ${\cal O}(α^2)$ in the gaugeless limit of the standard model. We also consider the $\overline{\mathrm{MS}}$ to pole mass relationships at this order, which include tadpole contributions to ensure the gauge independence of the $\overline{\mathrm{MS}}$ masses. In order to suppress numerically large tadpole contributions, we propose a redefinition of the running heavy-quark mass in terms of the $\overline{\mathrm{MS}}$ Yukawa coupling. We also present $Δr$ in the $\overline{\mathrm{MS}}$ scheme at ${\cal O}(α^2)$ in the gaugeless limit. As an aside, we also list the exact two-loop expression for the mass counterterms of the bottom and top quarks.

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Bernd A. Kniehl, Oleg L. Veretin. 2015-05-05. Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings. https://doi.org/10.1016/j.nuclphysb.2014.05.029%3B%2010.1016%2Fj.nuclphysb.2015.02.012

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