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A search for the decay to a pair of new particles of either the 125 GeV Higgsboson ($h$) or a second CP-even Higgs boson ($H$) is presented. The datasetcorrespods to an integrated luminosity of 20.3 fb$^{-1}$ of $pp$ collisions at$\sqrt{s}=$ 8 TeV recorded by the ATLAS experiment at the LHC in 2012. Thesearch was done in the context of the next-to-minimal supersymmetric standardmodel, in which the new particles are the lightest neutral pseudoscalar Higgsbosons ($a$). One of the two $a$ bosons is required to decay to two muons whilethe other is required to decay to two $\tau$-leptons. No significant excess isobserved above the expected backgrounds in the dimuon invariant mass range from3.7 GeV to 50 GeV. Upper limits are placed on the production of$h\rightarrow{aa}$ relative to the Standard Model $gg\rightarrow{h}$production, assuming no coupling of the $a$ boson to quarks. The most stringentlimit is placed at 3.5\% for $m_a =$ 3.75 GeV. Upper limits are also placed onthe production cross section of $H\rightarrow{aa}$ from 2.33 pb to 0.72 pb, forfixed $m_a$ = 5 GeV with $m_H$ ranging from 100 GeV to 500 GeV.

Search for Higgs bosons decaying to $aa$ in the $\mu\mu\tau\tau$ final state in $pp$ collisions at $\sqrt{s} = $ 8 TeV with the ATLAS experiment