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We present the optimal reconstruction of the thermal Sunyaev-Zel'dovich (tSZ)effect signal based on the combination of a heterogeneous dataset consisting ofACT and Planck data, with different numbers of channels, angular resolutionsand noise levels. We combine both datasets using two different approaches, aMatched Multi-Filter (MMF) technique and an optimised Internal LinearCombination (ILC). We show that when applying the MMF to the combination of ACTand Planck data, the size-flux degeneracy is reduced and the signal-to-noise ofclusters detected with their SZ signal improves by up to a factor of three. Inthe case of the optimised ILC method, we show that the tSZ map is reconstructedwith a resolution of $\sim 1.5$ arcmin. This is more than a factor twoimprovement compared with the Planck resolution, and with a very good controlof noise, i.e. limited only by the intrinsic noise of the individualexperiments. The combination of ACT and Planck data offers a unique opportunityto improve on the study of the pressure profiles and to study substructure inclusters through their tSZ.

PACT I: Combining ACT and Planck data for optimal detection of tSZ signal