论文标题
强烈相互作用的巨大粒子模型的扰动单位性
Perturbative Unitarity of Strongly Interacting Massive Particle Models
论文作者
论文摘要
黑亲是强烈相互作用的巨大粒子暗物质的有前途的候选者。一个大型的pion自耦合$m_π/f_π$倾向于正确的遗物丰度，因此，即使对于幼稚的扰动式耦合，部分波幅度也可能违反扰动的单位性。为了满足光学定理，我们改善了部分波幅度。我们证明了改进仅与半偏见的亲质有关，因此这不会影响宇宙结构的自散射横截面。我们还讨论了$ππ\对ππ$散射过程的改善的影响，我们发现在$m_π$上有一个上限，即使在大型$m_π/f_π$下，由于光学定理，也无法实现正确的遗物丰度。
Dark pion is a promising candidate for the strongly interacting massive particle dark matter. A large pion self-coupling $m_π/f_π$ 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 $πππ\to ππ$ scattering process, and we find that there is an upper bound on $m_π$ at which the correct relic abundance is never achieved even at large $m_π/f_π$ due to the optical theorem.
