Multi-probe analysis of the galaxy cluster CL J1226.9+3332: hydrostatic
  mass and hydrostatic-to-lensing bias
  We present a multi-probe analysis of the well-known galaxy cluster CL
J1226.9+3332 as a proof of concept for multi-wavelength studies within the
framework of the NIKA2 Sunyaev-Zeldovich Large Program (LPSZ). CL J1226.9+3332
is a massive and high redshift (z = 0.888) cluster that has already been
observed at several wavelengths. A joint analysis of the thermal SZ (tSZ)
effect at millimeter wavelength with the NIKA2 camera and in X-ray with the
XMM-Newton satellite permits the reconstruction of the cluster thermodynamical
properties and mass assuming hydrostatic equilibrium. We test the robustness of
our mass estimates against different definitions of the data analysis transfer
function. Using convergence maps reconstructed from the data of the CLASH
program we obtain estimates of the lensing mass, which we compare to the
estimated hydrostatic mass. This allows us to measure the
hydrostatic-to-lensing mass bias and the associated systematic effects related
to the NIKA2 measurement. We obtain M500HSE = (7.65 +- 1.03) 1014 Msun and
M500lens = (7.35 +- 0.65) 1014 Msun, which implies a HSE-to-lensing bias
consistent with 0 within 20 percent.
