By imposing theoretical bounds and experimental data on Higgs properties and exotic Higgs searches, we scan the allowed parameter space of the Georgi-Machacek (GM) model. Through such a global fit, we examine the parameter region that can lead to sufficiently strong first-order electroweak phase transitions (EWPTs). Based upon the above result, we study the associated gravitational wave (GW) signals and make a comparison with the reaches of several proposed experiments. We also make predictions on processes that may serve as promising probes to the GM model in the near future at the LHC, including the di-Higgs productions and several exotic scalar production channels.
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