{ "cells": [ { "cell_type": "markdown", "id": "15b98352", "metadata": {}, "source": [ "# Angular cross correlations\n", "This notebook shows extended examples for how to calculate angular two-point correlators for a variety of projected tracers of the matter fluctuations. These make use of the flexible generalized tracers, halo model, and 2D $P(k,a)$ framework implemented in CCL." ] }, { "cell_type": "code", "execution_count": 1, "id": "99c4a6d9", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pyccl as ccl\n", "import pylab as plt\n", "import matplotlib.cm as cm\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "id": "652a84ce", "metadata": {}, "outputs": [], "source": [ "cosmo = ccl.CosmologyVanillaLCDM()" ] }, { "cell_type": "markdown", "id": "a1c7583f", "metadata": {}, "source": [ "We will consider 6 different projected quantities:\n", "- Galaxy overdensity\n", "- Cosmic shear\n", "- CMB lensing convergence\n", "- ISW contribution to CMB fluctuations\n", "- tSZ Compton-y fluctuations\n", "- CIB intensity maps\n", "\n", "The first step is generating \"tracers\" for these quantities." ] }, { "cell_type": "markdown", "id": "8d8cb4af", "metadata": {}, "source": [ "## 1. Tracers\n", "`Tracers` are objects that describe the way in which 2D quantities are related to 3D quantities. They contain, for example, information about the radial kernel defining the projection, any scale-dependent transfer function (e.g. due to different quantities being related through spatial derivatives), and potential time derivatives. The 6 quantities listed above have standard CCL tracers associated with them. It is possible to create custom tracers for other quantities, and you can go as crazy as you want. Check out the [notebook on Generalized Tracers](https://github.com/LSSTDESC/CCLX/blob/master/GeneralizedTracers.ipynb)." ] }, { "cell_type": "code", "execution_count": 3, "id": "7f63f93c", "metadata": {}, "outputs": [], "source": [ "z = np.linspace(0, 1, 256)\n", "nz = np.exp(-0.5*((z-0.5)/0.1)**2)\n", "b1 = np.ones_like(z)\n", "A_IA = 0.6*np.ones_like(z)\n", "\n", "tracers = {}\n", "# Galaxy clustering\n", "tracers['g'] = ccl.NumberCountsTracer(cosmo, has_rsd=False, dndz=(z, nz), bias=(z, b1))\n", "\n", "# Cosmic shear with intrinsic alignments\n", "tracers['s'] = ccl.WeakLensingTracer(cosmo, dndz=(z, nz), ia_bias=(z, A_IA))\n", "\n", "# CMB lensing\n", "tracers['k'] = ccl.CMBLensingTracer(cosmo, z_source=1100)\n", "\n", "# ISW\n", "tracers['i'] = ccl.ISWTracer(cosmo)\n", "\n", "# tSZ\n", "tracers['y'] = ccl.tSZTracer(cosmo, z_max=3.)\n", "\n", "# CIB\n", "tracers['c'] = ccl.CIBTracer(cosmo, z_min=0.05)" ] }, { "cell_type": "markdown", "id": "fb07f9da", "metadata": {}, "source": [ "Note that we have given galaxies a Gaussian redshift distribution centered about $z=0.5$, a linear bias of 1, and an intrinsic alignment amplitude of 0.6." ] }, { "cell_type": "markdown", "id": "784bf818", "metadata": {}, "source": [ "## 2. 3D Power spectra\n", "The second ingredient is defining the power spectra that define the cross-correlations between the 3D quantities associated with each of these projected quantities. In the simplest case, these quantities will be linearly (or directly) related to the matter overdensity, in which case CCL's default will be to use the non-linear matter power spectrum it holds internally. Otherwise, you need to specify each $P(k)$ using `Pk2D` objects. Below we show how to do this using the halo model.\n", "\n", "Start by defining the range of `k` and scale factor `a` over which you will calculate these power spectra:" ] }, { "cell_type": "code", "execution_count": 4, "id": "f392cb4b", "metadata": {}, "outputs": [], "source": [ "lk_arr = np.log(np.geomspace(1E-4, 100, 256))\n", "a_arr = 1./(1+np.linspace(0, 6., 40)[::-1])" ] }, { "cell_type": "markdown", "id": "f7db6c3b", "metadata": {}, "source": [ "Now define the halo model ingredients you'll use (which mass function, halo bias etc. see the [halo model notebook](https://github.com/LSSTDESC/CCLX/blob/master/Halo-model-Pk.ipynb) for more info)." ] }, { "cell_type": "markdown", "id": "ddfddab6", "metadata": {}, "source": [ "### 2.1 Halo model ingredients" ] }, { "cell_type": "code", "execution_count": 6, "id": "5d5577b5", "metadata": {}, "outputs": [], "source": [ "m200def = ccl.halos.MassDef200m\n", "hmf = ccl.halos.MassFuncTinker08(mass_def=m200def)\n", "hbf = ccl.halos.HaloBiasTinker10(mass_def=m200def)\n", "conc = ccl.halos.ConcentrationDuffy08(mass_def=m200def)\n", "\n", "hmc = ccl.halos.HMCalculator(mass_function=hmf, halo_bias=hbf, mass_def=m200def)" ] }, { "cell_type": "markdown", "id": "f42d9f46", "metadata": {}, "source": [ "### 2.2 Halo profiles\n", "Now generate halo profiles for all quantities. We will use an HOD parametrization for galaxy clustering. Check the [documentation](https://ccl.readthedocs.io/en/latest/) for the different parameters you can use to tune these profiles." ] }, { "cell_type": "code", "execution_count": 12, "id": "a36201bd", "metadata": {}, "outputs": [], "source": [ "profs = {}\n", "\n", "# Galaxy clustering\n", "profs['g'] = ccl.halos.HaloProfileHOD(mass_def=m200def, concentration=conc)\n", "\n", "# Cosmic shear\n", "profs['s'] = ccl.halos.HaloProfileNFW(mass_def=m200def, concentration=conc)\n", "\n", "# CMB lensing\n", "profs['k'] = ccl.halos.HaloProfileNFW(mass_def=m200def, concentration=conc)\n", "\n", "# ISW\n", "profs['i'] = ccl.halos.HaloProfileNFW(mass_def=m200def, concentration=conc)\n", "\n", "# tSZ\n", "profs['y'] = ccl.halos.HaloProfilePressureGNFW(mass_def=m200def, x_out=6)\n", "\n", "# CIB\n", "profs['c'] = ccl.halos.HaloProfileCIBShang12(mass_def=m200def, concentration=conc, nu_GHz=217)" ] }, { "cell_type": "markdown", "id": "110851ad", "metadata": {}, "source": [ "Note that we're initializing some of these profiles more than once, which is not efficient (something to bear in mind when putting this in a likelihood)." ] }, { "cell_type": "markdown", "id": "06fc61ac", "metadata": {}, "source": [ "### 2.3 Profile 2-point cumulants\n", "Some of these profiles require custom-made 1-halo 2-point correlators (e.g. accounting for Poisson correlations in the case of HOD). We create a matrix of them here." ] }, { "cell_type": "code", "execution_count": 13, "id": "dba2295c", "metadata": {}, "outputs": [], "source": [ "tracer_list = list(profs.keys())\n", "profs2pt = {f'{t1}-{t2}': ccl.halos.Profile2pt() for t1 in tracer_list for t2 in tracer_list}\n", "profs2pt['g-g'] = ccl.halos.Profile2ptHOD()\n", "profs2pt['c-c'] = ccl.halos.Profile2ptCIB()" ] }, { "cell_type": "markdown", "id": "7b7e835f", "metadata": {}, "source": [ "### 2.4 Construct $P(k)$s\n", "Now we put everything together into $P(k)$s for each pair of quantities" ] }, { "cell_type": "code", "execution_count": 14, "id": "f965d060", "metadata": {}, "outputs": [], "source": [ "pks = {f'{t1}-{t2}': ccl.halos.halomod_Pk2D(cosmo, hmc,\n", " profs[t1],\n", " prof_2pt=profs2pt[f'{t1}-{t2}'],\n", " prof2=profs[t2],\n", " a_arr=a_arr,\n", " lk_arr=lk_arr)\n", " for t1 in tracer_list for t2 in tracer_list}" ] }, { "cell_type": "markdown", "id": "d77c729a", "metadata": {}, "source": [ "Note that we're actually computing some of these $P(k)$s twice, which is inefficient." ] }, { "cell_type": "markdown", "id": "2145c420", "metadata": {}, "source": [ "## 3 Project $P(k)$s into $C_\\ell$s\n", "Now we use `angular_cl` to generate all of the angular power spectra from the tracers and $P(k)$s." ] }, { "cell_type": "code", "execution_count": 15, "id": "e398bb4b", "metadata": {}, "outputs": [], "source": [ "ells = np.unique(np.geomspace(2, 2000, 128).astype(int)).astype(float)\n", "c_ells = {f'{t1}-{t2}': ccl.angular_cl(cosmo, tracers[t1], tracers[t2], ells, p_of_k_a=pks[f'{t1}-{t2}'])\n", " for t1 in tracer_list for t2 in tracer_list}" ] }, { "cell_type": "markdown", "id": "fd837b33", "metadata": {}, "source": [ "Again, computing things twice for cross-correlations. Just bear it in mind!\n", "\n", "Let's plot the results:" ] }, { "cell_type": "code", "execution_count": 16, "id": "b0612357", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for i1, t1 in enumerate(tracer_list):\n", " plt.figure(figsize=(8, 4))\n", " for t2 in tracer_list[i1:]:\n", " plt.plot(ells, ells*(ells+1)*c_ells[f'{t1}-{t2}']/(2*np.pi), label=f'{t1}-{t2}')\n", " plt.loglog()\n", " plt.legend(ncol=2)\n", " plt.xlabel(r'$\\ell$', fontsize=14)\n", " plt.ylabel(r'$\\ell(\\ell+1)C_\\ell/2\\pi$', fontsize=14)" ] }, { "cell_type": "markdown", "id": "a9ce3a8b", "metadata": {}, "source": [ "This just illustrates how to combine all of these quantities using the halo model. CCL supports other ways to parametrize e.g. galaxy bias or intrinsic alignments. Check out the [notebook on perturbation theory biases](https://github.com/LSSTDESC/CCLX/blob/master/PerturbationTheoryPk.ipynb) to learn how to do that." ] } ], "metadata": { "kernelspec": { "display_name": "ccl-dev", "language": "python", "name": "ccl-dev" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 5 }