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In a supersymmetric extension of the Standard Model of particle physics (SM)with low scale of supersymmetry breaking, sgoldstino of (sub)TeV mass can beobserved at the Large Hadron Collider (LHC) as a peak in diboson mass spectra.Moreover, as a singlet with respect to the SM gauge group, scalar sgoldstinocan mix with the SM-like Higgs boson and interfere in all neutral channelsproviding with the promising signatures of new physics if superpartners areheavy. Sgoldstino couplings to the SM particles are determined by the patternof soft supersymmetry breaking parameters. Here we concentrate on the caseswith a noticeable sgoldstino contribution to di-Higgs channel. Having found aphenomenologically viable region in the model parameter space where scalarsgoldstino, produced at the LHC in gluon fusion, decays into a pair of thelightest Higgs boson we give predictions for corresponding cross section. Usingthe results of the LHC searches for scalar resonances we place bounds on thesupersymmetry breaking scale $\sqrt{F}$ in this region of parameter space.Remarkably, in this region sgoldstino may also be observed in $W^+W^-$ and $ZZ$channels, yielding independent signatures, since their signal strengths arerelated to that of di-Higgs channel.

Sgoldstino signature in $hh$, $W^+W^-$ and $ZZ$ spectra at the LHC