Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology

Abstract

Motivated by the morphological measures in assessing the geometrical and topological properties of a generic cosmological stochastic field, we propose an extension of the weighted morphological measures, specifically the $n$th conditional moments of derivative (cmd-$n$). This criterion assigns a distinct weight to each excursion set point based on the associated field. We apply the cmd-$n$ on the Cosmic Microwave Background (CMB) to identify the cosmic string networks (CSs) through their unique Gott-Kaiser-Stebbins effect on the temperature anisotropies. We also formulate the perturbative expansion of cmd-$n$ for the weak non-Gaussian regime up to $\mathcal{O}({\sigma }_0^3)$. We propose a comprehensive pipeline designed to analyze the morphological properties of string-induced CMB maps within the flat sky approximation. To evaluate the robustness of our proposed criteria, we employ string-induced high-resolution flat-sky CMB simulated patches of $7.2$ deg${}^2$ size with a resolution of $0.42$ arc-minutes. Our results demonstrate that the minimum detectable value of cosmic string tension is $G\mu \gtrsim 1.9\times 10^{-7}$ when a noise-free map is analyzed with normalized cmd-$n$. Whereas for the ACT, CMB-S4, and Planck-like experiments at 95.45\% confidence level, the normalized cmd-$n$ can distinguish the CSs network for $G\mu \gtrsim 2.9\times 10^{-7}$, $G\mu \gtrsim 2.4\times 10^{-7}$ and $G\mu \gtrsim 5.8\times 10^{-7}$, respectively. The normalized cmd-$n$ exhibits a significantly enhanced capability in detecting CSs relative to the Minkowski Functionals.

20 pages, 10 figures and 3 tables, comments are welcome, V2: added some references, V3: matched to the published version

References in corpus (60)

• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• Laser Interferometer Space Antenna
• Challenges for $\Lambda$CDM: An update
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Complex network approaches to nonlinear time series analysis
• CMB-S4 Science Case, Reference Design, and Project Plan
• Upper bounds on the low-frequency stochastic gravitational wave background from pulsar timing observations: current limits and future prospects
• Is the Observable Universe Consistent with the Cosmological Principle?
• Stochastic gravitational wave background from smoothed cosmic string loops
• Fast likelihood-free cosmology with neural density estimators and active learning
• CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs model
• Fitting CMB data with cosmic strings and inflation
• CLASS: The Cosmology Large Angular Scale Surveyor
• Prime Focus Spectrograph (PFS) for the Subaru Telescope: Overview, recent progress, and future perspectives
• Cosmic string loop distribution on all length scales and at any redshift
• Small-Angle CMB Temperature Anisotropies Induced by Cosmic Strings
• Stochastic gravitational waves from cosmic string loops in scaling
• Stochastic Gravitational Wave Background from Light Cosmic Strings
• Analytic Minkowski Functionals of the Cosmic Microwave Background: Second-order Non-Gaussianity with Bispectrum and Trispectrum
• New CMB constraints for Abelian Higgs cosmic strings
• CMB polarization power spectra contributions from a network of cosmic strings
• Brane Inflation : String Theory viewed from the Cosmos
• The 21 cm Signature of Cosmic String Wakes
• The CMB temperature bispectrum induced by cosmic strings
• How much information can be extracted from galaxy clustering at the field level?
• Detecting Cosmic Strings in the CMB with the Canny Algorithm
• Field Level Neural Network Emulator for Cosmological N-body Simulations
• Cosmic Strings
• PICO: Probe of Inflation and Cosmic Origins
• Early Structure Formation from Cosmic String Loops in Light of Early JWST Observations
• Constraints on the Nambu-Goto cosmic string contribution to the CMB power spectrum in light of new temperature and polarisation data
• Snowmass2021 CMB-HD White Paper
• Multi-messenger constraints on Abelian-Higgs cosmic string networks
• All sky CMB map from cosmic strings integrated Sachs-Wolfe effect
• Search for Cosmic Strings in the COSMOS Survey
• Massive black holes at high redshifts from superconducting cosmic strings
• Gravitational wave emission from metastable current-carrying strings in $E_6$
• A Bayesian Framework for Cosmic String Searches in CMB Maps
• Revised bounds on local cosmic strings from NANOGrav observations
• Minkowski Functionals of CMB polarisation intensity with Pynkowski: theory and application to Planck and future data
• Probing cosmic strings by reconstructing polarization rotation of the cosmic microwave background
• Cosmology with Persistent Homology: a Fisher Forecast
• Level Crossing Analysis of Cosmic Microwave Background Radiation: A method for detecting cosmic strings
• Quasar variability limits on cosmological density of cosmic strings
• Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
• The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
• Minkowski Tensors in Redshift Space -- Beyond the Plane Parallel Approximation
• Integrated perturbation theory for cosmological tensor fields. III. Projection effects
• Integrated perturbation theory for cosmological tensor fields. II. Loop corrections
• Imprint of massive neutrinos on Persistent Homology of large-scale structure
• Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation
• Forecast of foreground cleaning strategies for AliCPT-1
• Probing the Anisotropy and Non-Gaussianity in the Redshift Space through the Conditional Moments of the First Derivative
• Signal of Cosmic Strings in Cross-Correlation of 21-cm Redshift and CMB Polarization Maps
• Tibet's Ali: A New Window to Detect the CMB Polarization
• Cosmic Microwave Background Signatures from Current-carrying Cosmic Strings
• Planck Limits on Cosmic String Tension Using Machine Learning
• Probing cosmology via the clustering of critical points
• The Global 21 cm Signal of a Network of Cosmic String Wakes
• Searching for cosmic strings via black hole spin-down

Cited by in corpus (1)

• Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference