  Gravitational lensing is a powerful probe of the mass distribution of galaxy
clusters and cosmology. However, accurate measurements of the cluster mass
profiles are limited by uncertainties in cluster astrophysics. In this work, we
present a physically motivated model of baryonic effects on the cluster mass
profiles, which self-consistently takes into account the impact of baryons on
the concentration as well as mass accretion histories of galaxy clusters. We
calibrate this model using the Omega500 hydrodynamical cosmological simulations
of galaxy clusters with varying baryonic physics. Our model will enable us to
simultaneously constrain cluster mass, concentration, and cosmological
parameters using stacked weak lensing measurements from upcoming optical
cluster surveys.
