FlexibleSUSY 2.0: Extensions to investigate the phenomenology of SUSY and non-SUSY models

Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners

“…The EFT approach to the computation of the MSSM Higgs mass dates back to the early 1990s [53][54][55], and it has also been exploited in the past [56][57][58][59][60][61][62] to determine analytically the coefficients of the logarithmic terms in the Higgs-mass corrections, by solving perturbatively the appropriate systems of boundary conditions and RGEs. In recent years, after the LHC results pushed the expectations for the SUSY scale into the TeV range, the realization that an accurate prediction for the Higgs mass in the MSSM cannot prescind from the resummation of the large logarithmic corrections brought the EFT computation under renewed focus [63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]. In the simplest scenario in which all of the SUSY particles as well as the heavy Higgs doublet of the MSSM are clustered around a single scale M S , so that the EFT valid below that scale is just the SM, the state of the art now includes: full one-loop and partial two-loop matching conditions for the quartic Higgs coupling at the SUSY scale, computed for arbitrary values of the relevant SUSY parameters [65,72]; full three-loop RGEs for all of the parameters of the SM Lagrangian [79][80][81][82][83][84]; full two-loop relations at the EW scale between the running SM parameters and a set of physical observables which include the pole Higgs mass [85][86][87].…”

“…In the EFT calculation, those terms can be mapped to the effect of non-renormalizable, higher-dimensional operators, and they are neglected when the theory valid below the matching scale is taken to be the plain SM in the unbroken phase of the EW symmetry. To avoid double counting, the hybrid approaches require a careful subtraction of the terms that are accounted for by both the diagrammatic and the EFT calculations, and indeed a few successive adjustments [73,74,78] were necessary to obtain predictions for m h that, in the limit of very heavy SUSY masses in which the O(v 2 /M 2 S ) terms are certainly negligible, show the expected agreement with the pure EFT calculation. The comparison between the predictions of the hybrid and pure EFT calculations, as well as a direct study [72] of the effects of non-renormalizable operators in the EFT, also show that the O(v 2 /M 2 S ) corrections are significantly suppressed for the values of M S that are 2 A partial N 3 LL resummation of the corrections involving only the highest powers of the strong gauge coupling is also available, combining the three-loop matching condition of ref.…”

Precise prediction for the W boson mass in the MRSSM

“…In ref. [60] and the update of the program FlexibleSUSY, it was recently shown that SM higher-order contributions implemented in SARAH/SPheno were not correct with regard to the usage of the OS and DR top quark mass in the two-loop SM contribution. 11 Correcting the implementation leads to a shift of M W of 50-100 MeV compared to the result of the original calculation for example given in refs.…”

Strong first-order phase transitions in the NMSSM — a comprehensive survey

“…• By the triplet of values e.g., (100,200, 300), we mean h u = 100 GeV, h d = 200 GeV, and s = 300 GeV.…”