Higgs decay to light(pseudo)scalars in the semi-constrained NMSSM

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The next-to minimal supersymmetric standard model(NMSSM)with non-universal Higgs masses,i.e.,the semi-constrained NMSSM(scNMSSM),extends the minimal supersymmetric standard model(MSSM)by a singlet superfield and assumes universal conditions,except for the Higgs sector.It can not only maintain the simpli-city and grace of the fully constrained MSSM and NMSSM and relieve the tension they have been facing since the discovery of the 125-GeV Higgs boson but also allow for an exotic phenomenon wherein the Higgs decay into a pair of light(10~60 GeV)singlet-dominated(pseudo)scalars(hereafter,in this paper,we use“scalar”for both scalars and pseudoscalars,considering pseudoscalars can also be called CP-odd scalars).This condition can be classified in-to three scenarios according to the identitiesof the SM-like Higgs and the light scalar:(i)the light scalar is CP-odd,and the SM-like Higgs is h2;(ii)the light scalar is CP-odd,and the SM-like Higgs is hi;and(iii)the light scalar is CP-even,and the SM-like Higgs is h2.In this work,we compare the three scenarios,checking the interesting para-meter regions that lead to the scenarios,the mixing levels of the doublets and singlets,the tri-scalar coupling between the SM-like Higgs and a pair of light scalars,the branching ratio of Higgs decay to the light scalars,and sensitivities in the detection of the exotic decay at the HL-LHC and future lepton colliders such as CEPC,FCC-ee,and ILC.Finally,several interesting conclusions are drawn,which are useful for understanding the different delicate mechanisms of the exotic decay and designing colliders in future.
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