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Perturbative Unitarity of Strongly Interacting Massive Particle Models
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abstract
Dark pion is a promising candidate for the strongly interacting massive particle dark matter. A large pion self-coupling $m_\pi/f_\pi$ tends to be required for correct relic abundance, and hence the partial-wave amplitudes can violate the perturbative unitarity even for the coupling within na\"ive perturbative regime. We improve the partial-wave amplitudes in order to satisfy the optical theorem. We demonstrate that the improvement is relevant only for semi-relativistic pions, and thus this does not affect the self-scattering cross section at the cosmic structures. We also discuss the impact of the improvement of the $\pi \pi \pi \to \pi \pi$ scattering process, and we find that there is an upper bound on $m_\pi$ at which the correct relic abundance is never achieved even at large $m_\pi/f_\pi$ due to the optical theorem.
Forward citations
Cited by 3 Pith papers
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Dark Neutrons as Dark Matter: Collisions in Halos and Direct Detection from Dark CP Violation
A non-zero topological angle in a confining dark sector induces CP-violating pion-baryon couplings that naturally generate velocity-dependent dark matter self-interactions and dark electric dipole moments for direct d...
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Pseudo-FIMP dark matter in presence of a SIMP
A feebly interacting dark matter particle can become a pseudo-FIMP by staying in equilibrium through conversion with a strongly self-interacting SIMP partner; the paper demonstrates this with coupled Boltzmann equatio...
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Pion dark matter in a $\theta$ vacuum: a thermal relic with sharp velocity-dependent self-interactions
A QCD-like dark sector with a theta vacuum and a dark photon portal can simultaneously reproduce the dark matter relic abundance and produce the sharply velocity-dependent self-interactions inferred from small-scale s...
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