  In a supersymmetric extension of the Standard Model of particle physics (SM)
with low scale of supersymmetry breaking, sgoldstino of (sub)TeV mass can be
observed 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 sgoldstino
can mix with the SM-like Higgs boson and interfere in all neutral channels
providing with the promising signatures of new physics if superpartners are
heavy. Sgoldstino couplings to the SM particles are determined by the pattern
of soft supersymmetry breaking parameters. Here we concentrate on the cases
with a noticeable sgoldstino contribution to di-Higgs channel. Having found a
phenomenologically viable region in the model parameter space where scalar
sgoldstino, produced at the LHC in gluon fusion, decays into a pair of the
lightest Higgs boson we give predictions for corresponding cross section. Using
the results of the LHC searches for scalar resonances we place bounds on the
supersymmetry 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 are
related to that of di-Higgs channel.
