Recasting and Forecasting Dark Matter Limits Without Raw Data: A Generalized Algorithm for Gamma-Ray Telescopes

Abstract

We present a novel method for both forecasting and recasting upper limits (ULs) on dark matter (DM) annihilation cross sections, ${⟨\sigma v⟩}^{UL}$, or decay lifetime ${\tau }^{LL}$ . The forecasting method relies solely on the instrument response functions (IRFs) to predict ULs for a given observational setup, without the need for full analysis pipelines. The recasting procedure uses published ULs to reinterpret constraints for alternative DM models or channels. We demonstrate its utility across a range of canonical annihilation channels, including $b\bar{b}$, $W^{+}{W}^{-}$, ${\tau }^{+}{\tau }^{-}$, and ${\mu }^{+}{\mu }^{-}$, and apply it to several major gamma-ray experiments, including MAGIC, \textit{Fermi}-LAT, and CTAO. Notably, we develop a recasting approach that remains effective even when the IRF is unavailable by extracting generalized IRF-dependent coefficients from benchmark channels. We apply this method to reinterpret ULs derived from standard spectra (e.g., PPPC4DMID) in terms of more recent DM scenarios, including a Higgsino-like model with mixed final states and spectra generated with the CosmiXs model. Extensive Monte Carlo simulations and direct comparison with published results confirm the robustness and accuracy of our method, with discrepancies remaining within statistical uncertainties. The algorithm is generally applicable to any scenario where the expected signal model is parametric, offering a powerful tool for reinterpreting existing gamma-ray limits and efficiently exploring the DM parameter space in current and future indirect detection experiments.

Accepted for publication in Physics of the Dark Universe. This is the author's accepted manuscript (AAM), prior to journal typesetting

References in corpus (28)

• An Introduction to PYTHIA 8.2
• The Large Area Telescope on the Fermi Gamma-ray Space Telescope Mission
• Asymptotic formulae for likelihood-based tests of new physics
• Searching for Dark Matter Annihilation from Milky Way Dwarf Spheroidal Galaxies with Six Years of Fermi-LAT Data
• Minimal Dark Matter
• PPPC 4 DM ID: A Poor Particle Physicist Cookbook for Dark Matter Indirect Detection
• Limits and Confidence Intervals in the Presence of Nuisance Parameters
• The major upgrade of the MAGIC telescopes, Part II: A performance study using observations of the Crab Nebula
• The Fermi Galactic Center GeV Excess and Implications for Dark Matter
• The Status of the H.E.S.S. Project
• Observation of the Crab Nebula with the HAWC Gamma-Ray Observatory
• The First VERITAS Telescope
• Search for a Dark Matter annihilation signal from the Galactic Center halo with H.E.S.S
• The major upgrade of the MAGIC telescopes, Part I: The hardware improvements and the commissioning of the system
• Higher-Order Corrections to Timelike Jets
• Sensitivity of the Cherenkov Telescope Array to a dark matter signal from the Galactic centre
• A global fit of the MSSM with GAMBIT
• Gammapy: A Python package for gamma-ray astronomy
• Self-consistent Calculation of the Sommerfeld Enhancement
• The last Complex WIMPs standing
• Combined searches for dark matter in dwarf spheroidal galaxies observed with the MAGIC telescopes, including new data from Coma Berenices and Draco
• Statistical Issues in Astrophysical Searches for Particle Dark Matter
• Dark Matter in the Coming Decade: Complementary Paths to Discovery and Beyond
• Dark Matter in $\gamma$ lines: Galactic Center vs dwarf galaxies
• A Run-Wise Simulation and Analysis Framework for Imaging Atmospheric Cherenkov Telescope Arrays
• Gamma-Ray Dark Matter Searches in Milky Way Satellites -- A Comparative Review of Data Analysis Methods and Current Results
• TeV Dark Matter Searches in the Extragalactic Gamma-Ray Sky
• Statistical Tools for Imaging Atmospheric Cherenkov Telescopes

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