title: Renormalization scheme dependence of the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM.
abstract: 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.
authors.affiliation: Institute for Physics, University of Zurich, Winterthurerstr. 190, 8057 Zurich, Switzerland.
authors.forename: S
authors.initials: S
authors.lastname: Borowka
authors.affiliation: Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany.
authors.forename: T
authors.initials: T
authors.lastname: Hahn
authors.affiliation: Instituto de Física de Cantabria (CSIC-UC), Santander, Spain.
authors.forename: S
authors.initials: S
authors.lastname: Heinemeyer
authors.affiliation: Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany.
authors.forename: G
authors.initials: G
authors.lastname: Heinrich
authors.affiliation: Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany.
authors.forename: W
authors.initials: W
authors.lastname: Hollik