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In this paper we establish a connection between the loop space homology ofthe generalization of wedge defined by a simplicial complex K (so calledpolyhedral product) and the homology of certain diagonal arrangementsassociated with K. We illustrate these results by finding the presentations ofthose loop homology algebras for certain K generalizing results of Panov-Ray,Papadima-Suciu, Lemaire. Finally, we show that in the case when the functor isapplied to suspensions, this homology splitting comes from the stable homotopysplitting of the loop spaces.

Loops on polyhedral products and diagonal arrangements