Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales

Abstract

We present FlexibleEFTHiggs, a method for calculating the SM-like Higgs pole mass in SUSY (and even non-SUSY) models, which combines an effective field theory approach with a diagrammatic calculation. It thus achieves an all order resummation of leading logarithms together with the inclusion of all non-logarithmic 1-loop contributions. We implement this method into FlexibleSUSY and study its properties in the MSSM, NMSSM, E 6 SSM and MRSSM. In the MSSM, it correctly interpolates between the known results of effective field theory calculations in the literature for a high SUSY scale and fixedorder calculations in the full theory for a sub-TeV SUSY scale. We compare our MSSM results to those from public codes and identify the origin of the most significant deviations between the DR programs. We then perform a similar comparison in the remaining three non-minimal models. For all four models we estimate the theoretical uncertainty of FlexibleEFTHiggs and the fixed-order DR programs thereby finding that the former becomes more precise than the latter for a SUSY scale above a few TeV. Even for sub-TeV SUSY scales, FlexibleEFTHiggs maintains the uncertainty estimate around 2-3 GeV, remaining a competitive alternative to existing fixed-order computations.

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond

“…[19,20] and used also by SUSYHD has been explicitly shown in Ref. [12]. SM RGEs are used afterwards to run λ SM to M Z , and the MS parameters are recalculated at this scale.…”

“…Therefore, we shall use another ansatz in SPheno and SARAH 1 which is closer to the set-up of NMSSMCalc [40] or specific versions of FlexibleSUSY [12,41]: the matching at the electroweak scale includes only SM thresholds to obtain the MS values of the gauge and Yukawa couplings and the electroweak vacuum expectation value (VEV). These parameters are then evolved up to the SUSY scale using SM RGEs, and the translation from MS to DR scheme and the inclusion of SUSY thresholds is done at the SUSY scale.…”

“…A handy and very general ansatz to obtain λ SM (M SUSY ) was presented in Ref. [12]: one can match the Higgs pole masses in the full MSSM and the SM at the SUSY scale…”

“…That has been done for instance by FeynHiggs since a few years [8][9][10]. The second approach, which is becoming more and more popular, is to work in an effective theory below M SUSY : SusyHD [11] and recent versions of FlexibleSUSY [12] as well as FeynHiggs [13] can consider below M SUSY only the degrees of freedom of the SM, and match the SM to the MSSM just at the SUSY scale. Also the Higgs mass calculation is done in the effective SM by obtaining a value of the quartic Higgs coupling λ SM from the matching between the MSSM and SM at M SUSY .…”

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

“…For the NMSSM several public spectrum generators are available that provide an automated calculation of the Higgs-boson masses: FlexibleSUSY [43], Flexible EFTHiggs [44], NMSSMCALC [45,46], NMSSMTools [47][48][49], SOFTSUSY [50][51][52] and SPheno [53,54]. The results obtained by the different codes for the same set of input parameters can differ by several GeV [55].…”