Effective theory for self-interacting dark matter and massive spin-2 mediators
- Kang, Yoo-Jin et al
- arXiv:2003.09290
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,10\,{\rm cm^2/g}$. The orange dashed and solid lines are the results for the Born cross section, whereas the purple and blue lines are those for the non-perturbative cross section. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.0185$ and two fixed DM masses in each plot. Dashed and solid lines are for the Born and non-perturbative cross sections, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,10\,{\rm cm^2/g}$. The orange dashed and solid lines are the results for the Born cross section, whereas the purple and blue lines are those for the non-perturbative cross section. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.0185$ and two fixed DM masses in each plot. Dashed and solid lines are for the Born and non-perturbative cross sections, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,10\,{\rm cm^2/g}$. The orange dashed and solid lines are the results for the Born cross section, whereas the purple and blue lines are those for the non-perturbative cross section. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.0185$ and two fixed DM masses in each plot. Dashed and solid lines are for the Born and non-perturbative cross sections, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,10\,{\rm cm^2/g}$. The orange dashed and solid lines are the results for the Born cross section, whereas the purple and blue lines are those for the non-perturbative cross section. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.0185$ and two fixed DM masses in each plot. Dashed and solid lines are for the Born and non-perturbative cross sections, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,10\,{\rm cm^2/g}$. The orange dashed and solid lines are the results for the Born cross section, whereas the purple and blue lines are those for the non-perturbative cross section. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.0185$ and two fixed DM masses in each plot. Dashed and solid lines are for the Born and non-perturbative cross sections, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,10\,{\rm cm^2/g}$. The orange dashed and solid lines are the results for the Born cross section, whereas the purple and blue lines are those for the non-perturbative cross section. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.0185$ and two fixed DM masses in each plot. Dashed and solid lines are for the Born and non-perturbative cross sections, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots and $m_{\rm DM}v_{\rm dwarf}/m_G=0.08$ for the plots in the bottom panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots and $m_{\rm DM}v_{\rm dwarf}/m_G=0.08$ for the plots in the bottom panel. |
| Top: Contours of the DM self-scattering cross section divided by the DM mass at dwarf galaxies with $v_{\rm dwarf}=10^{-4} c$ in the parameter space for $m_G$ vs $m_{\rm DM}$. We took $\sigma_T/m_{\rm DM}=0.1,1\,{\rm cm^2/g}$ for dashed and solid lines. Orange and blue lines are the results with or without Sommerfeld factors, respectively. Middle (Bottom): The DM self-scattering cross section divided by the DM mass as a function of the DM velocity for $m_{\rm DM}v_{\rm dwarf}/m_G=0.1(0.01)$ and two fixed DM masses in each plot. Dashed and solid lines are the approximate and full results for the Born cross section, respectively. $A_{\rm DM}=1$ is chosen for all the plots and DM spins are taken to $s=0,1/2,1$ from left to right in each panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots and $m_{\rm DM}v_{\rm dwarf}/m_G=0.08$ for the plots in the bottom panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots and $m_{\rm DM}v_{\rm dwarf}/m_G=0.08$ for the plots in the bottom panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots and $m_{\rm DM}v_{\rm dwarf}/m_G=0.08$ for the plots in the bottom panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots and $m_{\rm DM}v_{\rm dwarf}/m_G=0.08$ for the plots in the bottom panel. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| Sommerfeld factor for dark matter annihilation for $A_{\rm DM}=1, 0.1$ on left and right plots, respectively. We also took $m_{\rm DM} v_{\rm dwarf}/m_G=0.0185, 0.08$ on left and right plots, respectively. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| Sommerfeld factor for dark matter annihilation for $A_{\rm DM}=1, 0.1$ on left and right plots, respectively. We also took $m_{\rm DM} v_{\rm dwarf}/m_G=0.0185, 0.08$ on left and right plots, respectively. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.1$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |
| The same as in Fig.~\ref{fig:a1}, except $A_{\rm DM}=0.01$ for all the plots. |