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Title: On Integral Upper Limits Assuming Power-law Spectra and the Sensitivity in High-energy Astronomy

Abstract

The high-energy non-thermal universe is dominated by power-law-like spectra. Therefore, results in high-energy astronomy are often reported as parameters of power-law fits, or, in the case of a non-detection, as an upper limit assuming the underlying unseen spectrum behaves as a power law. In this paper, I demonstrate a simple and powerful one-to-one relation of the integral upper limit in the two-dimensional power-law parameter space into the spectrum parameter space and use this method to unravel the so-far convoluted question of the sensitivity of astroparticle telescopes.

Authors:
 [1]
  1. Institute for Particle Physics, ETH Zurich, 8093 Zurich (Switzerland)
Publication Date:
OSTI Identifier:
22663773
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 836; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTRONOMY; DETECTION; GAMMA RADIATION; SENSITIVITY; SPECTRA; TELESCOPES; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS; UNIVERSE

Citation Formats

Ahnen, Max L., E-mail: m.knoetig@gmail.com. On Integral Upper Limits Assuming Power-law Spectra and the Sensitivity in High-energy Astronomy. United States: N. p., 2017. Web. doi:10.3847/1538-4357/AA5B97.
Ahnen, Max L., E-mail: m.knoetig@gmail.com. On Integral Upper Limits Assuming Power-law Spectra and the Sensitivity in High-energy Astronomy. United States. doi:10.3847/1538-4357/AA5B97.
Ahnen, Max L., E-mail: m.knoetig@gmail.com. Mon . "On Integral Upper Limits Assuming Power-law Spectra and the Sensitivity in High-energy Astronomy". United States. doi:10.3847/1538-4357/AA5B97.
@article{osti_22663773,
title = {On Integral Upper Limits Assuming Power-law Spectra and the Sensitivity in High-energy Astronomy},
author = {Ahnen, Max L., E-mail: m.knoetig@gmail.com},
abstractNote = {The high-energy non-thermal universe is dominated by power-law-like spectra. Therefore, results in high-energy astronomy are often reported as parameters of power-law fits, or, in the case of a non-detection, as an upper limit assuming the underlying unseen spectrum behaves as a power law. In this paper, I demonstrate a simple and powerful one-to-one relation of the integral upper limit in the two-dimensional power-law parameter space into the spectrum parameter space and use this method to unravel the so-far convoluted question of the sensitivity of astroparticle telescopes.},
doi = {10.3847/1538-4357/AA5B97},
journal = {Astrophysical Journal},
number = 2,
volume = 836,
place = {United States},
year = {Mon Feb 20 00:00:00 EST 2017},
month = {Mon Feb 20 00:00:00 EST 2017}
}