  The appearance of strangeness in the form of hyperons within the inner core
of neutron stars is expected to affect its detectable properties such as its
global structure or gravitational wave emission. In this work, we explore the
parameter space of hyperonic stars within the framework of the Relativistic
Mean Field model allowed by present uncertainties in state-of-the-art nuclear
and hypernuclear experimental data. We impose multi-physics constraints at
different density regimes to restrict the parameter space: Chiral effective
field theory, heavy-ion collision data as well as multi-messenger astrophysical
observations of neutron stars. We investigate possible correlations between
empirical nuclear and hypernuclear parameters, particularly the symmetry energy
and its slope, with observable properties of neutron stars. We do not find a
correlation for the hyperon parameters and the astrophysical data. However, the
inclusion of hyperons generates a tension between the astrophysical and heavy
ion data constraining considerable the available parameter space.
