Abstract
We discuss the allowed parameter spaces of supersymmetric scenarios in light of improved Higgs mass predictions provided by FeynHiggs 2.10.0. The Higgs mass predictions combine Feynman-diagrammatic results with a resummation of leading and subleading logarithmic corrections from the stop/top sector, which yield a significant improvement in the region of large stop masses. Scans in the pMSSM parameter space show that, for given values of the soft supersymmetry-breaking parameters, the new logarithmic contributions beyond the two-loop order implemented in FeynHiggs tend to give larger values of the light CP-even Higgs mass, M_h, in the region of large stop masses than previous predictions that were based on a fixed-order Feynman-diagrammatic result, though the differences are generally consistent with the previous estimates of theoretical uncertainties. We re-analyse the parameter spaces of the CMSSM, NUHM1 and NUHM2, taking into account also the constraints from CMS and LHCb measurements of mathrm{BR}(B_s rightarrow mu ^+mu ^-)and ATLAS searches for /!!!E_T events using 20/fb of LHC data at 8 TeV. Within the CMSSM, the Higgs mass constraint disfavours {tan beta }lesssim 10, though not in the NUHM1 or NUHM2.
Highlights
That said, the absence of SUSY in the first LHC run and the fact that the Higgs mass is in the upper part of the minimal SUSY extension of the Standard Model (MSSM) range both suggest, within simple models such as the constrained MSSM (CMSSM) and NUHM as well as in the phenomenological MSSM (pMSSM), that the SUSY particle mass scale may be larger than had been suggested prior to the LHC, on the basis of fine-tuning arguments and in order to explain the discrepancy between calculations of (g − 2)μ within the SM and the experimental measurement [34]
Scans in the pMSSM parameter space show that, for given values of the soft supersymmetry-breaking parameters, the new logarithmic contributions beyond the two-loop order implemented in FeynHiggs tend to give larger values of the light CP-even Higgs mass, Mh, in the region of large stop masses than previous predictions that were based on a fixedorder Feynman-diagrammatic result, though the differences are generally consistent with the previous estimates of theoretical uncertainties
As we have shown in this paper, the improved Higgs mass calculations provided in the improved FeynHiggs 2.10.0 code have significant implications for the allowed parameter spaces of supersymmetric models
Summary
The absence of SUSY in the first LHC run and the fact that the Higgs mass is in the upper part of the MSSM range both suggest, within simple models such as the CMSSM and NUHM (see, e.g., [32,33]) as well as in the pMSSM, that the SUSY particle mass scale may be larger than had been suggested prior to the LHC, on the basis of fine-tuning arguments and in order to explain the discrepancy between calculations of (g − 2)μ within the SM and the experimental measurement [34]. The improved estimate of the uncertainties arising from corrections beyond two-loop order in the top/stop sector is adjusted such that the impact of replacing the running topquark mass by the pole mass (see [14]) is evaluated only for the non-logarithmic corrections rather than for the full two-loop contributions implemented in FeynHiggs Other codes such as SoftSusy [41], SPheno [42,43] and SuSpect [44] implement a calculation of the Higgs masses based on a DR renormalisation of the scalar quark sector. More recently a calculation of Mh taking into account leading three-loop corrections of O(αt αs2) has became available, based on a DR or a “hybrid” renormalisation scheme for the scalar top sector, where the numerical evaluation depends on the various SUSY mass hierarchies, resulting in the code H3m [46,47,48], which adds the three-loop corrections to the FeynHiggs result. The labelled continuous black lines are contours of Mh calculated with FeynHiggs 2.10.0, and the dash-dotted red lines are contours of Mh calculated with FeynHiggs 2.8.6 (as used, e.g., in [32,33,54]), which we use for comparison
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