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We present results of our ongoing studies of an effective three-dimensionaltheory of thermal lattice QCD with heavy Wilson quarks. This is done bycombined strong coupling and hopping parameter expansions. The full quarkdeterminant of four dimensional lattice QCD is expanded in orders of thehopping parameter $\kappa$, the dimensional reduction is achieved byintegrating over the spatial links. We present the calculation of the effectivetheory through order $\kappa^nu^m$ with $n+m=4$. This theory is then used tosimulate heavy quarks near the cold and dense limit. For nonzero chemicalpotential the theory suffers from a sign problem, wich is avoided by employingstochastical quantisation. Continuum extrapolated results for the onset ofnuclear matter are shown and the region of convergence of the effective theoryis discussed.

Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks to $\kappa^4$