Precise prediction for the light MSSM Higgs-boson mass combining effective field theory and fixed-order calculations

Abstract

In the Minimal Supersymmetric Standard Model heavy superparticles introduce large logarithms in the calculation of the lightest C P-even Higgs-boson mass. These logarithmic contributions can be resummed using effective field theory techniques. For light superparticles, however, fixed-order calculations are expected to be more accurate. To gain a precise prediction also for intermediate mass scales, the two approaches have to be combined. Here, we report on an improvement of this method in various steps: the inclusion of electroweak contributions, of separate electroweakino and gluino thresholds, as well as resummation at the NNLL level. These improvements can lead to significant numerical effects. In most cases, the lightest C P-even Higgs-boson mass is shifted downwards by about 1 GeV. This is mainly caused by higher-order corrections to the MS top-quark mass. We also describe the implementation of the new contributions in the code FeynHiggs.

The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale

“…We used the code FeynHiggs [125,[127][128][129][130][131][132][133] (Version 2.14.0 beta) to predict the lightest Higgs boson mass. The evaluation of the Higgs masses with FeynHiggs is based on the combination of a Feynman-diagrammatic calculation and a resummation of the (sub)leading and logarithms contributions of the (general) type of log (m˜t/m t ) in all orders of perturbation theory.…”

Higgs-boson masses and mixing matrices in the NMSSM: analysis of on-shell calculations

“…On the other hand, NMSSM-FeynHiggs incorporates further MSSMtype contributions beyond O(α t α s ). These contributions consist of further leading and subleading two-loop corrections [34,58,[71][72][73][74] as well as the resummation of large logarithms to all orders for high SUSY mass scales [40,41]. In the MSSM limit it has been found that these corrections can yield O(5 GeV) corrections in the OS renormalization [34,40,41,58,[71][72][73][74].…”

“…[34,35]. Automated estimates of the theoretical uncertainties depending on the considered parameter point within the MSSM can, e.g., be performed with FeynHiggs [34,[36][37][38][39][40][41][42].…”

Predictions from a flavour GUT model combined with a SUSY breaking sector

“…The SUSY scale is determined dynamically by the geometric mean of the stop masses Λ SUSY = √ mt 1 mt 2 , where the stop masses are defined by the up-type squark mass eigenstatesũ i with largest mixing tot 1 andt 2 . The parameters of the model at this mass scale are used to calculate the mass of the SM-like EW Higgs with FeynHiggs [19][20][21][22][23][24], the properties of dark matter with MicrOMEGAs [25] and the observables related to flavour violating processes with SUSY FLAVOR [26][27][28]. All superpartners of the SM particles are integrated out at the SUSY scale and the MSSM is matched to the SM at this stage.…”