  Axion like particles (ALPs), the pseudo Nambu-Goldstone bosons associated to
the spontaneous breaking of global symmetry, have emerged as promising dark
matter candidates. Conventionally, in the context of misalignment mechanism,
the non-thermally produced ALPs happen to stay frozen due to Hubble friction
initially and at a later stage, they begin to oscillate (before
matter-radiation equality) at characteristic frequencies defined by their
masses and behaving like cold dark matter. In this work, we study the influence
of electroweak symmetry breaking (EWSB), through a higher order Higgs portal
interaction, on the evolution of ALPs. Such an interaction is found to
contribute partially to the ALP's mass during EWSB, thereby modifying
oscillation frequencies during EWSB as well as impacting upon the existing
correlation between the scale of symmetry breaking and their masses. The
novelty of the work lies in broadening the relic satisfied parameter space so
as to probe it in near future via a wide range of experiments.
