Abstract
Results are presented for the momentum dependent two-loop contributions of O(alpha_t alpha_s) to the masses and mixing effects in the Higgs sector of the MSSM. They are obtained in the Feynman-diagrammatic approach using a mixed on-shell/DRbar renormalization that can directly be matched onto the higher-order corrections included in the code FeynHiggs. The new two-loop diagrams are evaluated with the program SecDec. The combination of the new momentum dependent two-loop contribution with the existing one- and two-loop corrections in the on-shell/DRbar scheme leads to an improved prediction of the light MSSM Higgs boson mass and a correspondingly reduced theoretical uncertainty. We find that the corresponding shifts in the lightest Higgs-boson mass M_h are below 1 GeV in all scenarios considered, but can extend up to the level of the current experimental uncertainty. The results are included in the code FeynHiggs.
Highlights
The Higgs sector of the Minimal Supersymmetric Standard Model (MSSM) can be expressed at lowest order in terms of the gauge couplings, the mass of the CP-odd Higgs boson, MA, and tan β ≡ v2/v1, the ratio of the two vacuum expectation values
They are obtained in the Feynman-diagrammatic approach using a mixed on-shell/DR renormalization that can directly be matched onto the higher-order corrections included in the code FeynHiggs
The combination of the new momentum-dependent two-loop contribution with the existing one- and two-loop corrections in the on-shell/DR scheme leads to an improved prediction of the light MSSM Higgs boson mass and a correspondingly reduced theoretical uncertainty
Summary
The Higgs sector of the MSSM can be expressed at lowest order in terms of the gauge couplings, the mass of the CP-odd Higgs boson, MA, and tan β ≡ v2/v1, the ratio of the two vacuum expectation values. A combination of the full one-loop result, supplemented with leading and subleading two-loop corrections evaluated in the Feynmandiagrammatic/effective potential method and a resummation of the leading and subleading logarithmic corrections from the scalar-top sector has been published [14] in the latest version of the code FeynHiggs [13,14,24,38,66,67] While previous to this combination the remaining theoretical uncertainty on the lightest CP-even Higgs boson mass had been estimated to be about 3 GeV [12,13], the combined result was roughly estimated to yield an uncertainty of about 2 GeV [14,15]; more detailed analyses will be necessary to yield a more solid result.
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