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Although axion-like particles (ALPs) are popular dark matter candidates,their mass generation mechanisms as well as cosmic thermal evolutions are stillunclear. In this letter, we propose a new mass generation mechanism of ALPduring the electroweak phase transition in the presence of the type-II seesawmechanism. As ALP gets mass uniquely at the electroweak scale, there is acutoff scale on the ALP oscillation temperature irrelevant to the specific massof ALP, which is a distinctive feature of this scenario. The ALP couples to theactive neutrinos, leaving the matter effect of neutrino oscillations in a denseALP environment as a smoking gun. As a by-product, the recent $W$-boson massanomaly observed by the CDF collaboration is also quoted by the TeV-scaletype-II seesaw. We explain three kinds of new physics phenomena are with onestroke.

Axion-like Dark Matter from the Type-II Seesaw Mechanism