{ "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://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.13?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](..\/astro/darkmatter/index.rst). 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", " DMAnnihilation,\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": [ "The assumed local density is 0.3 GeV / cm3 at a distance to the GC of 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(\n", " \"The assumed local density is {} at a distance to the GC of {}\".format(\n", " profiles.DMProfile.LOCAL_DENSITY, profiles.DMProfile.DISTANCE_GC\n", " )\n", ")" ] }, { "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, coordsys=\"GAL\")" ] }, { "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(\"J-Factor [{}]\".format(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", " \"{} is {:.3g}\".format(profile.__class__.__name__, total_jfact)\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(r\"m$_{{\\mathrm{{DM}}}}$ = {}\".format(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 = DMAnnihilation(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", " \"Flux [{}]\\n m$_{{DM}}$={}, channel={}\".format(\n", " int_flux.unit, fluxes.mDM.to(\"TeV\"), fluxes.channel\n", " )\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 }