Search

Abstract Predictions for the Higgs masses are a distinctive feature of supersymmetric extensions of the Standard Model, where they play a crucial role in constraining the parameter space. The discovery of a Higgs boson and the remarkably precise measurement of its mass at the LHC have spurred new efforts aimed at improving the accuracy of the theoretical predictions for the Higgs masses in supersymmetric models. The “Precision SUSY Higgs Mass Calculation Initiative” (KUTS) was launched in 2014 to provide a forum for discussions between the different groups involved in these efforts. This report aims to present a comprehensive overview of the current status of Higgs-mass calculations in supersymmetric models, to document the many advances that were achieved in recent years and were discussed during the KUTS meetings, and to outline the prospects for future improvements in these calculations.

Abstract We present a calculation of the light neutral CP-even Higgs boson pole mass in the real $$\text {MSSM}$$ MSSM which combines state-of-the-art EFT and fixed-order results, including the three-loop fixed-order QCD corrections as well as the resummation of logarithmic terms in the ratio of the weak to the SUSY scale up to fourth logarithmic order. This hybrid calculation should be valid for arbitrary SUSY scales above the weak scale. Comparison to the pure fixed-order and EFT results provides an estimate of their individual validity range.

Abstract We present the calculation of the light neutral CP-even Higgs mass in the MSSM for a heavy SUSY spectrum by resumming enhanced terms through fourth logarithmic order (N$$^{3}$$ 3 LL), keeping terms of leading order in the top Yukawa coupling $$\alpha _t$$ αt , and NNLO in the strong coupling $$\alpha _s$$ αs . To this goal, the three-loop matching coefficient for the quartic Higgs coupling of the SM to the MSSM is derived to order $$\alpha _t^2\alpha _s^2$$ αt2αs2 by comparing the perturbative EFT to the fixed-order expression for the Higgs mass. The new matching coefficient is made available through an updated version of the program Himalaya. Numerical effects of the higher-order resummation are studied using specific examples, and sources of theoretical uncertainty on this result are discussed.

Abstract We suggest to isolate the loop-induced gluon-initiated component ($$gg\rightarrow ZH$$ gg→ZH ) for associated $$ZH$$ ZH production by using the similarity of the Drell–Yan-like component for $$ZH$$ ZH production to the $$WH$$ WH process. We argue that the cross-section ratio of the latter two processes can be predicted with high theoretical accuracy. Comparing it to the experimental $$ZH/WH$$ ZH/WH cross-section ratio should allow to probe for new physics in the $$gg\rightarrow ZH$$ gg→ZH component at the HL-LHC. We consider typical BSM scenarios in order to exemplify the effect they would have on the proposed observable.