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We explore the origin of Majorana masses within the Majoron model and howthis can lead to the generation of a distinguishable primordial stochasticbackground of gravitational waves. We first show how in the simplest Majoronmodel only a contribution from cosmic string can be within the reach of plannedexperiments. We then consider extensions containing multiple complex scalars,demonstrating how in this case a spectrum comprising contributions from both astrong first order phase transition and cosmic strings can naturally emerge. Weshow that the interplay between multiple scalar fields can amplify the phasetransition signal, potentially leading to double peaks over the wideband slopedspectrum from cosmic strings. We also underscore the possibility of observingsuch a gravitational wave background to provide insights into the reheatingtemperature of the universe. We conclude highlighting how the model can benaturally combined with scenarios addressing the origin of matter of theuniverse, where baryogenesis occurs via leptogenesis and a right-handedneutrino plays the role of dark matter.

Gravitational waves from phase transitions and cosmic strings in neutrino mass models with multiple Majorons