Abstract
Dark pion is a promising candidate for the strongly interacting massive particle dark matter. A large pion self-coupling mπ/fπ tends to be required for correct relic abundance, and hence the partial-wave amplitudes can violate the perturbative unitarity even for the coupling within naïve 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 πππ → ππ scattering process, and we find that there is an upper bound on mπ at which the correct relic abundance is never achieved even at large mπ/fπ due to the optical theorem.
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Kamada, A., Kobayashi, S. & Kuwahara, T. Perturbative unitarity of strongly interacting massive particle models. J. High Energ. Phys. 2023, 217 (2023). https://doi.org/10.1007/JHEP02(2023)217
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DOI: https://doi.org/10.1007/JHEP02(2023)217