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

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Publication:748676

DOI10.1016/J.NUCLPHYSB.2014.05.029zbMath1323.81119arXiv1401.1844OpenAlexW1986815868MaRDI QIDQ748676

Oleg L. Veretin, Bernd A. Kniehl

Publication date: 29 October 2015

Published in: Unnamed Author (Search for Journal in Brave)

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 ${cal O}(alpha^2)$ 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 $Delta r$ in the $overline{mathrm{MS}}$ scheme at ${cal O}(alpha^2)$ 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.


Full work available at URL: https://arxiv.org/abs/1401.1844





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