XXL Survey groups and clusters in the Hyper Suprime-Cam Survey. Scaling
  relations between X-ray properties and weak lensing mass
  Scaling relations trace the formation and evolution of galaxy clusters. We
exploited multi-wavelength surveys -- the XXL survey at \emph{XMM-Newton} in
the X-ray band, and the Hyper Suprime-Cam Subaru Strategic Program for optical
weak lensing -- to study an X-ray selected, complete sample of clusters and
groups. The scalings of gas mass, temperature, and soft-band X-ray luminosity
with the weak lensing mass show imprints of radiative cooling and AGN feedback
in groups. From the multi-variate analysis, we found some evidence for steeper
than self-similar slopes for gas mass ($\beta_{m_\text{g}|m}=1.73 \pm0.80$) and
luminosity ($\beta_{l|m}=1.91\pm0.94$) and a nearly self-similar slope for the
temperature ($\beta_{t|m}=0.78\pm0.43$). Intrinsic scatters of X-ray properties
appear to be positively correlated at a fixed mass (median correlation factor
$\rho_{X_1X_2|m}\sim0.34$) due to dynamical state and merger history of the
halos. Positive correlations with the weak lensing mass (median correlation
factor $\rho_{m_\text{wl}X|m}\sim0.35$) can be connected to triaxiality and
orientation. Comparison of weak lensing and hydrostatic masses suggests a small
role played by non-thermal pressure support ($9\pm17\%$).
