2019
DOI: 10.48550/arxiv.1908.06067
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A Practical and Consistent Parametrization of Dark Matter Self-Interactions

Xiaoyong Chu,
Camilo Garcia-Cely,
Hitoshi Murayama

Abstract: Self-interacting dark matter has been proposed to explain the apparent mass deficit in astrophysical small-scale halos, while observations from galaxy clusters suggest that the corresponding cross section depends on the velocity. Accounting for this is often believed to be highly model-dependent with studies mostly focusing on scenarios with light mediators. Based on the effective-range formalism, in this work we point out a model-independent approach which accurately approximates the velocity dependence of th… Show more

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Cited by 6 publications
(9 citation statements)
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References 24 publications
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“…In this regime, analytic expressions are available that result from restricting the analysis to s-wave scattering and approximating the Yukawa potential by a Hulthén potential [114]. While these expressions result in a reasonable estimate for height and location of resonances in σ T , we find that they significantly underestimate the numerical value of σ T in the vicinity of anti-resonances (see also [115]). In our analysis, we thus always solve the underlying Schrödinger equation for the full Yukawa potential numerically, including also higher partial waves.…”
Section: Dark Matter Self-interactionsmentioning
confidence: 85%
“…In this regime, analytic expressions are available that result from restricting the analysis to s-wave scattering and approximating the Yukawa potential by a Hulthén potential [114]. While these expressions result in a reasonable estimate for height and location of resonances in σ T , we find that they significantly underestimate the numerical value of σ T in the vicinity of anti-resonances (see also [115]). In our analysis, we thus always solve the underlying Schrödinger equation for the full Yukawa potential numerically, including also higher partial waves.…”
Section: Dark Matter Self-interactionsmentioning
confidence: 85%
“…The anti-symmetric tensor in the two-dimensional space transverse to the z-axis, ij , is defined by 12 = 1. 7 The profile functions, h(ρ) and f (ρ), satisfy the boundary conditions,…”
Section: String Solution For =mentioning
confidence: 99%
“…For instance, the new U(1) gauge symmetry can be the origin of the stability of dark matter. It is also discussed that the dark matter self-interaction mediated by the sub-GeV dark photon can solve the so-called small scale structure problems [2][3][4][5][6][7]. 1 The dark photon also plays an essential role in transferring excessive entropy in the dark sector to the visible sector in many dark matter models (see e.g.…”
Section: Introductionmentioning
confidence: 99%
“…One of which stems from the Bose enhancement of the scattered photon, and the other is from the soft photon emission/absorption. 5 In order to take care of these IR divergences appropriately, we have to add up 1-loop diagrams of the dark photon decay and the tree-level diagrams of the soft photon emission/absorption with finite temperature fermion propagators [17]. However, as we noted before, contributions from γ + γ ↔ e − + e + and γ + e ± ↔ γ + e ± are subdominant for m γ > 2m e which is the region of our main interest.…”
Section: Boltzmann Equationsmentioning
confidence: 99%
“…For instance, the U(1) symmetry can be the origin of the stability of the dark matter. Moreover, it is discussed that the dark matter selfinteraction via the gauge interaction can solve the small scale structure problems of the collision-less dark matter [2][3][4][5]. The dark photon also provides a portal to transfer excessive entropy in the dark sector into the SM sector before the neutrino decoupling [6,7].…”
Section: Introductionmentioning
confidence: 99%