Reaching a theoretical accuracy in the prediction of the lightest MSSM Higgs-boson mass, Mh, 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 Mh (Borowka et al., Eur Phys J C 74(8):2994, ; Degrassi et al., Eur Phys J C 75(2):61, ), using a hybrid on-shell- 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, ) of an inconsistency in Ref. Borowka et al. (Eur Phys J C 74(8):2994, ) is incorrect. We furthermore compare consistently the results for Mh obtained with the top-quark mass renormalized on-shell and . 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.
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机译:在目前的实验精度水平上,要在最轻的MSSM希格斯玻色子质量Mh的预测中达到理论精度,就需要在两环水平上包括与动量有关的贡献。最近,两组使用以下方法提出了对Mh的两环QCD动量依赖校正(Borowka等人,Eur Phys JC 74(8):2994 ;; Degrassi等人,Eur Phys JC 75(2):61,),使用混合式机壳-<数学xmlns:mml =“ http://www.w3.org/1998/Math/MathML” id =“ M6”溢出=“ scroll”> <移动器> DR mi> ¯ mo> mover> math>方案,结果却明显不同。我们表明,差异可以追溯到顶夸克质量的不同重归一化,并且参考文献中的主张。 Degrassi等。 (Eur Phys J C 75(2):61,)参考文献中的不一致。 Borowka等。 (Eur Phys J C 74(8):2994,)不正确。我们进一步一致地比较了在顶部夸克质量在壳上重新归一化和展开▼