Cosmological cluster tension
  The abundance of clusters is a classical cosmological probe sensitive to both
the geometrical aspects and the growth rate of structures. The abundance of
clusters of galaxies measured by Planck has been found to be in tension with
the prediction of the LCDM models normalized to Planck CMB fluctuations power
spectra. The same tension appears with X-ray cluster local abundance. Massive
neutrinos and modified gravity are two possible solutions to fix this tension.
Alternatively, others options include a bias in the selection procedure or in
the mass calibration of clusters. We present a study, based on our recent work,
updating the present situation on this topic and discuss the likelihood of the
various options.
