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In this article, we consider an ad-hoc deformation of the EPRL model forquantum gravity by a cosmological constant term. This sort of deformation hasbeen first introduced by Han for the case of the $4$-simplex. In this article,we generalise the deformation to the case of arbitrary vertices, and computeits large-$j$-asymptotics. We show that, if the boundary data corresponds to a$4d$ polyhedron $P$, then the asymptotic formula gives the usual Regge actionplus a cosmological constant term. We pay particular attention to thedeterminant of the Hessian matrix, and show that it can be related to the oneof the undeformed vertex.

Deformation of the EPRL spin foam model by a cosmological constant