  Clusters of galaxies -- with their turbulent magnetic fields and abundant
matter content -- are a promising class of potential neutrino sources. Cosmic
rays accelerated within the large-scale shocks,Active GalacticNuclei (AGN), or
both can be confined in galaxy clusters over cosmological timescales and
produce a steady flux of neutrinos in secondary interactions. The IceCube
Neutrino Observatory has detected a diffuse flux of high-energy astrophysical
neutrinos. After ten years of operations, however, the origin of this flux
remains largely unconstrained. In this work, we perform a stacked search for
neutrinos, using a population of over one thousand galaxy clusters detected by
the Planck Satellite via the Sunyaev-Zeldovich (SZ) effect up to a redshift $z
= 1$. We present the first results on the contribution of galaxy clusters to
the diffuse neutrino flux and discuss the implications for various models of
cosmic-ray acceleration in large-scale structures.
