{ "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/v0.17?urlpath=lab/tree/astro_dark_matter.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\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 utilities\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": {}, "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": {}, "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": {}, "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": {}, "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 utilies to compute J-Factor maps can 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": {}, "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": {}, "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": {}, "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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jfact_map = WcsNDMap(geom=geom, data=jfact.value, unit=jfact.unit)\n", "fig, ax, im = 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": {}, "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": {}, "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": {}, "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_range=[mDM / 100, mDM],\n", " ax=ax,\n", " label=channel,\n", " flux_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": {}, "outputs": [], "source": [ "channel = \"Z\"\n", "massDM = 10 * u.TeV\n", "diff_flux = DarkMatterAnnihilationSpectralModel(mass=massDM, channel=channel)\n", "int_flux = (jfact * diff_flux.integral(emin=0.1 * u.TeV, emax=10 * u.TeV)).to(\n", " \"cm-2 s-1\"\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "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", "fig, ax, im = 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": "3.7.0" }, "nbsphinx": { "orphan": true }, "toc": { "base_numbering": 1, "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 }