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Renormalization scheme dependence of the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM


Borowka, S; Hahn, T; Heinemeyer, S; Heinrich, G; Hollik, W (2015). Renormalization scheme dependence of the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM. European Physical Journal C - Particles and Fields, 75:424.

Abstract

Reaching a theoretical accuracy in the prediction of the lightest MSSM Higgs-boson mass, , 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 (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- 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 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.

Abstract

Reaching a theoretical accuracy in the prediction of the lightest MSSM Higgs-boson mass, , 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 (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- 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 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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2015
Deposited On:12 Feb 2016 13:23
Last Modified:08 Dec 2017 18:16
Publisher:Springer
ISSN:1434-6044
Free access at:PubMed ID. An embargo period may apply.
Publisher DOI:https://doi.org/10.1140/epjc/s10052-015-3648-6
PubMed ID:26543403
Other Identification Number:arXiv:1505.03133v2

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