{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online[![Binder](https://static.mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.19?urlpath=lab/tree/tutorials/api/astro_dark_matter.ipynb)\n", "- You may download all the notebooks in the documentation as a\n", "[tar file](../../_downloads/notebooks-0.19.tar).\n", "- **Source files:**\n", "[astro_dark_matter.ipynb](../../_static/notebooks/astro_dark_matter.ipynb) |\n", "[astro_dark_matter.py](../../_static/notebooks/astro_dark_matter.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dark matter spatial and spectral models\n", "\n", "## Introduction \n", "\n", "Gammapy has some convenience methods for dark matter analyses in `~gammapy.astro.darkmatter`. These include J-Factor computation and calculation the expected gamma flux for a number of annihilation channels. They are presented in this notebook. \n", "\n", "The basic concepts of indirect dark matter searches, however, are not explained. So this is aimed at people who already know what the want to do. A good introduction to indirect dark matter searches is given for example in https://arxiv.org/pdf/1012.4515.pdf (Chapter 1 and 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, we start with some setup for the notebook, and with imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:09:59.116454Z", "iopub.status.busy": "2021-11-22T21:09:59.115718Z", "iopub.status.idle": "2021-11-22T21:09:59.781879Z", "shell.execute_reply": "2021-11-22T21:09:59.782052Z" } }, "outputs": [], "source": [ "from gammapy.astro.darkmatter import (\n", " profiles,\n", " JFactory,\n", " PrimaryFlux,\n", " DarkMatterAnnihilationSpectralModel,\n", ")\n", "\n", "from gammapy.maps import WcsGeom, WcsNDMap\n", "from astropy.coordinates import SkyCoord\n", "from matplotlib.colors import LogNorm\n", "from regions import CircleSkyRegion\n", "import astropy.units as u\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:09:59.784530Z", "iopub.status.busy": "2021-11-22T21:09:59.784238Z", "iopub.status.idle": "2021-11-22T21:09:59.785430Z", "shell.execute_reply": "2021-11-22T21:09:59.785605Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profiles\n", "\n", "The following dark matter profiles are currently implemented. Each model can be scaled to a given density at a certain distance. These parameters are controlled by ``profiles.DMProfile.LOCAL_DENSITY`` and ``profiles.DMProfile.DISTANCE_GC``" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:09:59.788121Z", "iopub.status.busy": "2021-11-22T21:09:59.787790Z", "iopub.status.idle": "2021-11-22T21:09:59.790345Z", "shell.execute_reply": "2021-11-22T21:09:59.790528Z" } }, "outputs": [ { "data": { "text/plain": [ "[gammapy.astro.darkmatter.profiles.NFWProfile,\n", " gammapy.astro.darkmatter.profiles.EinastoProfile,\n", " gammapy.astro.darkmatter.profiles.IsothermalProfile,\n", " gammapy.astro.darkmatter.profiles.BurkertProfile,\n", " gammapy.astro.darkmatter.profiles.MooreProfile]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "profiles.DMProfile.__subclasses__()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:09:59.805948Z", "iopub.status.busy": "2021-11-22T21:09:59.805604Z", "iopub.status.idle": "2021-11-22T21:10:00.155951Z", "shell.execute_reply": "2021-11-22T21:10:00.156160Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LOCAL_DENSITY: 0.3 GeV / cm3\n", "DISTANCE_GC: 8.33 kpc\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for profile in profiles.DMProfile.__subclasses__():\n", " p = profile()\n", " p.scale_to_local_density()\n", " radii = np.logspace(-3, 2, 100) * u.kpc\n", " plt.plot(radii, p(radii), label=p.__class__.__name__)\n", "\n", "plt.loglog()\n", "plt.axvline(8.5, linestyle=\"dashed\", color=\"black\", label=\"local density\")\n", "plt.legend()\n", "\n", "print(\"LOCAL_DENSITY:\", profiles.DMProfile.LOCAL_DENSITY)\n", "print(\"DISTANCE_GC:\", profiles.DMProfile.DISTANCE_GC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## J Factors\n", "\n", "There are utilities to compute J-Factor maps that can serve as a basis to compute J-Factors for certain regions. In the following we compute a J-Factor map for the Galactic Centre region" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:00.159925Z", "iopub.status.busy": "2021-11-22T21:10:00.159622Z", "iopub.status.idle": "2021-11-22T21:10:00.160756Z", "shell.execute_reply": "2021-11-22T21:10:00.160995Z" } }, "outputs": [], "source": [ "profile = profiles.NFWProfile()\n", "\n", "# Adopt standard values used in HESS\n", "profiles.DMProfile.DISTANCE_GC = 8.5 * u.kpc\n", "profiles.DMProfile.LOCAL_DENSITY = 0.39 * u.Unit(\"GeV / cm3\")\n", "\n", "profile.scale_to_local_density()\n", "\n", "position = SkyCoord(0.0, 0.0, frame=\"galactic\", unit=\"deg\")\n", "geom = WcsGeom.create(binsz=0.05, skydir=position, width=3.0, frame=\"galactic\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:00.163832Z", "iopub.status.busy": "2021-11-22T21:10:00.163548Z", "iopub.status.idle": "2021-11-22T21:10:01.623310Z", "shell.execute_reply": "2021-11-22T21:10:01.623504Z" } }, "outputs": [], "source": [ "jfactory = JFactory(\n", " geom=geom, profile=profile, distance=profiles.DMProfile.DISTANCE_GC\n", ")\n", "jfact = jfactory.compute_jfactor()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:01.626171Z", "iopub.status.busy": "2021-11-22T21:10:01.625874Z", "iopub.status.idle": "2021-11-22T21:10:01.895743Z", "shell.execute_reply": "2021-11-22T21:10:01.896020Z" }, "nbsphinx-thumbnail": { "tooltip": "Convenience methods for dark matter high level analyses." } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No handles with labels found to put in legend.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jfact_map = WcsNDMap(geom=geom, data=jfact.value, unit=jfact.unit)\n", "ax = jfact_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(f\"J-Factor [{jfact_map.unit}]\")\n", "\n", "# 1 deg circle usually used in H.E.S.S. analyses\n", "sky_reg = CircleSkyRegion(center=position, radius=1 * u.deg)\n", "pix_reg = sky_reg.to_pixel(wcs=geom.wcs)\n", "pix_reg.plot(ax=ax, facecolor=\"none\", edgecolor=\"red\", label=\"1 deg circle\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:01.898447Z", "iopub.status.busy": "2021-11-22T21:10:01.898111Z", "iopub.status.idle": "2021-11-22T21:10:01.899433Z", "shell.execute_reply": "2021-11-22T21:10:01.899667Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J-factor in 1 deg circle around GC assuming a NFWProfile is 1.35e+21 GeV2 / cm5\n" ] } ], "source": [ "# NOTE: https://arxiv.org/abs/1607.08142 quote 2.67e21 without the +/- 0.3 deg band around the plane\n", "total_jfact = pix_reg.to_mask().multiply(jfact).sum()\n", "print(\n", " \"J-factor in 1 deg circle around GC assuming a \"\n", " f\"{profile.__class__.__name__} is {total_jfact:.3g}\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gamma-ray spectra at production\n", "\n", "The gamma-ray spectrum per annihilation is a further ingredient for a dark matter analysis. The following annihilation channels are supported. For more info see https://arxiv.org/pdf/1012.4515.pdf" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:01.901635Z", "iopub.status.busy": "2021-11-22T21:10:01.901347Z", "iopub.status.idle": "2021-11-22T21:10:01.959668Z", "shell.execute_reply": "2021-11-22T21:10:01.959938Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['eL', 'eR', 'e', 'muL', 'muR', 'mu', 'tauL', 'tauR', 'tau', 'q', 'c', 'b', 't', 'WL', 'WT', 'W', 'ZL', 'ZT', 'Z', 'g', 'gamma', 'h', 'nu_e', 'nu_mu', 'nu_tau', 'V->e', 'V->mu', 'V->tau']\n" ] } ], "source": [ "fluxes = PrimaryFlux(mDM=\"1 TeV\", channel=\"eL\")\n", "print(fluxes.allowed_channels)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:01.986646Z", "iopub.status.busy": "2021-11-22T21:10:01.986256Z", "iopub.status.idle": "2021-11-22T21:10:02.456696Z", "shell.execute_reply": "2021-11-22T21:10:02.456883Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4, 1, figsize=(6, 16))\n", "mDMs = [0.01, 0.1, 1, 10] * u.TeV\n", "\n", "for mDM, ax in zip(mDMs, axes):\n", " fluxes.mDM = mDM\n", " ax.set_title(rf\"m$_{{\\mathrm{{DM}}}}$ = {mDM}\")\n", " ax.set_yscale(\"log\")\n", " ax.set_ylabel(\"dN/dE\")\n", "\n", " for channel in [\"tau\", \"mu\", \"b\", \"Z\"]:\n", " fluxes.channel = channel\n", " fluxes.table_model.plot(\n", " energy_bounds=[mDM / 100, mDM],\n", " ax=ax,\n", " label=channel,\n", " yunits=u.Unit(\"1/GeV\"),\n", " )\n", "\n", "axes[0].legend()\n", "plt.subplots_adjust(hspace=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux maps\n", "\n", "Finally flux maps can be produced like this:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:02.483358Z", "iopub.status.busy": "2021-11-22T21:10:02.483054Z", "iopub.status.idle": "2021-11-22T21:10:02.486747Z", "shell.execute_reply": "2021-11-22T21:10:02.486907Z" } }, "outputs": [], "source": [ "channel = \"Z\"\n", "massDM = 10 * u.TeV\n", "diff_flux = DarkMatterAnnihilationSpectralModel(mass=massDM, channel=channel)\n", "int_flux = (\n", " jfact * diff_flux.integral(energy_min=0.1 * u.TeV, energy_max=10 * u.TeV)\n", ").to(\"cm-2 s-1\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:10:02.511785Z", "iopub.status.busy": "2021-11-22T21:10:02.511415Z", "iopub.status.idle": "2021-11-22T21:10:02.711798Z", "shell.execute_reply": "2021-11-22T21:10:02.712044Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "flux_map = WcsNDMap(geom=geom, data=int_flux.value, unit=\"cm-2 s-1\")\n", "\n", "ax = flux_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(\n", " f\"Flux [{int_flux.unit}]\\n m$_{{DM}}$={fluxes.mDM.to('TeV')}, channel={fluxes.channel}\"\n", ");" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.0" }, "nbsphinx": { "orphan": true }, "toc": { "base_numbering": 1.0, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }