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Self-interacting dark matter implied by nano-Hertz gravitational waves

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arxiv 2306.16966 v3 pith:5ELJ4WMJ submitted 2023-06-29 hep-ph astro-ph.CO

Self-interacting dark matter implied by nano-Hertz gravitational waves

classification hep-ph astro-ph.CO
keywords darkmattersidmdatafoptgravitationalmassmev-scale
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The self-interacting dark matter (SIDM) paradigm offers a potential solution to the small-scale structure problems faced by collision-less cold dark matter. This framework incorporates self-interactions among dark matter particles, typically mediated by a particle with a MeV-scale mass. Recent evidences of nano-Hertz gravitational waves from pulsar timing arrays (PTAs) such as NANOGrav, CPTA, EPTA, and PPTA suggest the occurrence of a first-order phase transition (FOPT) at a MeV-scale temperature. Considering the close proximity between these two scales, we propose that the mediator mass in the SIDM model originates from the spontaneous breaking of a $U(1)'$ symmetry, which is driven by the FOPT indicated by PTA data. Consequently, the alignment of these two scales is believed to be deeply connected by the same underlying physics. By extensively exploring the parameter space, remarkably, we find that the parameter space favored by SIDM just provides an explanation for the PTA data.

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