Borowka S, Hahn T, Heinemeyer S, Heinrich G, Hollik W
Institute for Physics, University of Zurich, Winterthurerstr. 190, 8057 Zurich, Switzerland.
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany.
Eur Phys J C Part Fields. 2015;75(9):424. doi: 10.1140/epjc/s10052-015-3648-6. Epub 2015 Sep 15.
Reaching a theoretical accuracy in the prediction of the lightest MSSM Higgs-boson mass, [Formula: see text], at the level of the current experimental precision requires the inclusion of momentum-dependent contributions at the two-loop level. Recently two groups presented the two-loop QCD momentum-dependent corrections to [Formula: see text] (Borowka et al., Eur Phys J C 74(8):2994, 2014; Degrassi et al., Eur Phys J C 75(2):61, 2015), using a hybrid on-shell-[Formula: see text] scheme, with apparently different results. We show that the differences can be traced back to a different renormalization of the top-quark mass, and that the claim in Ref. Degrassi et al. (Eur Phys J C 75(2):61, 2015) of an inconsistency in Ref. Borowka et al. (Eur Phys J C 74(8):2994, 2014) is incorrect. We furthermore compare consistently the results for [Formula: see text] obtained with the top-quark mass renormalized on-shell and [Formula: see text]. The latter calculation has been added to the FeynHiggs package and can be used to estimate missing higher-order corrections beyond the two-loop level.
要在当前实验精度水平上达到对最轻的MSSM希格斯玻色子质量(\mu)预测的理论精度，需要在两圈水平纳入动量相关贡献。最近，两个研究团队给出了对(\mu)的两圈QCD动量相关修正（博罗夫卡等人，《欧洲物理杂志C》74(8):2994，2014年；德格拉西等人，《欧洲物理杂志C》75(2):61，2015年），采用了一种混合的实壳 - (\overline{\text{MS}})方案，结果明显不同。我们表明，这些差异可追溯到顶夸克质量的不同重整化，并且德格拉西等人（《欧洲物理杂志C》75(2):61，2015年）声称博罗夫卡等人（《欧洲物理杂志C》74(8):2994，2014年）存在不一致是不正确的。我们还一致地比较了用实壳重整化的顶夸克质量和(\overline{\text{MS}})得到的(\mu)结果。后一种计算已被添加到FeynHiggs软件包中，可用于估计两圈水平之外缺失 的高阶修正。
