Abstract
The impact of the three-loop effects of order alpha _talpha _s^2 on the mass of the light CP-even Higgs boson in the {text {MSSM}} is studied in a pure overline{{text {DR}}} context. For this purpose, we implement the results of Kant et al. (JHEP 08:104, 2010) into the C++ module Himalaya and link it to FlexibleSUSY, a Mathematica and C++ package to create spectrum generators for BSM models. The three-loop result is compared to the fixed-order two-loop calculations of the original FlexibleSUSY and of FeynHiggs, as well as to the result based on an EFT approach. Aside from the expected reduction of the renormalization scale dependence with respect to the lower-order results, we find that the three-loop contributions significantly reduce the difference from the EFT prediction in the TeV-region of the {text {SUSY}} scale {M_S}. Himalaya can be linked also to other two-loop overline{{text {DR}}} codes, thus allowing for the elevation of these codes to the three-loop level.
Highlights
In the present paper we study the impact of the threeloop corrections for low and high SUSY scales and compare our results to the two-loop calculations of the public spectrum generators of FlexibleSUSY and FeynHiggs
These three-loop contributions have been available in the public program H3m before, where they were combined with the on-shell calculation of FeynHiggs
With the implementation into FlexibleSUSY presented here, we were able to study the size of the three-loop contributions within a pure DR environment
Summary
There are plenty of publicly available computer codes which calculate the Higgs pole mass(es) in the MSSM at higher orders: CPsuperH [24,25,26], FeynHiggs [9,27,28,29,30,31], FlexibleSUSY [32,33], H3m [1,20], ISASUSY [34], MhEFT [35], SARAH/SPheno [36,37,38,39,40,41,42], SOFTSUSY [43, 44], SuSpect [45] and SusyHD [46]. H3m is the only one which includes three-loop corrections of order αt αs, where αt is the squared top Yukawa and αs is the strong coupling It combines these terms with the on-shell two-loop result of FeynHiggs after transforming the O(αt ) and O(αt αs) terms from there to the DR scheme. [1,20] for the light CPeven Higgs mass in the MSSM into the framework of FlexibleSUSY [32], referring to the combination as FlexibleSUSY+Himalaya in what follows This allows us to study the effect of the three-loop contributions in a pure. FlexibleSUSY+Himalaya to existing fixed-order and resummed results for the light Higgs mass This includes a comparison to the original implementation of the three-loop effects in H3m. Technical details of Himalaya, its link to FlexibleSUSY, and run options are collected in the appendix
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