Assessing the Power-Law Emissivity Assumption in X-ray Reflection Spectroscopy: A Simulation-Based Evaluation of Different Coronal Geometries

Fuente: arXiv
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Main Authors: Li, Songcheng, Nosirov, Abdurakhmon, Bambi, Cosimo, Liu, Honghui, Zhang, Zuobin, Riaz, Shafqat
Format: Preprint
Published: 2025
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_version_ 1866918147897950208
author Li, Songcheng
Nosirov, Abdurakhmon
Bambi, Cosimo
Liu, Honghui
Zhang, Zuobin
Riaz, Shafqat
author_facet Li, Songcheng
Nosirov, Abdurakhmon
Bambi, Cosimo
Liu, Honghui
Zhang, Zuobin
Riaz, Shafqat
contents The emissivity profile assumed in X-ray reflection spectroscopy significantly impacts black hole spin measurements. Using simulated NuSTAR spectra generated for lamppost and disk-like coronae with the relxill model suite, we evaluate systematic biases introduced when fitting with power-law or broken power-law emissivity profiles. We find that a simple power-law can accurately recover spins for low-height lamppost coronae with long exposures and low inclination angle, while broken power-laws introduce degeneracies when the simple power-law already performs adequately. However, for extended or high-height coronae, especially at high inclinations, both models produce large systematic biases unresolved by longer exposure times. Our results demonstrate that power-law approximations are reliable for compact coronae, highlighting the need for geometry-specific models in complex cases.
format Preprint
id arxiv_https___arxiv_org_abs_2509_20752
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Assessing the Power-Law Emissivity Assumption in X-ray Reflection Spectroscopy: A Simulation-Based Evaluation of Different Coronal Geometries
Li, Songcheng
Nosirov, Abdurakhmon
Bambi, Cosimo
Liu, Honghui
Zhang, Zuobin
Riaz, Shafqat
High Energy Astrophysical Phenomena
The emissivity profile assumed in X-ray reflection spectroscopy significantly impacts black hole spin measurements. Using simulated NuSTAR spectra generated for lamppost and disk-like coronae with the relxill model suite, we evaluate systematic biases introduced when fitting with power-law or broken power-law emissivity profiles. We find that a simple power-law can accurately recover spins for low-height lamppost coronae with long exposures and low inclination angle, while broken power-laws introduce degeneracies when the simple power-law already performs adequately. However, for extended or high-height coronae, especially at high inclinations, both models produce large systematic biases unresolved by longer exposure times. Our results demonstrate that power-law approximations are reliable for compact coronae, highlighting the need for geometry-specific models in complex cases.
title Assessing the Power-Law Emissivity Assumption in X-ray Reflection Spectroscopy: A Simulation-Based Evaluation of Different Coronal Geometries
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2509.20752