# Sensitivity curves for searches for gravitational-wave backgrounds

**Authors:** Eric Thrane, Joseph D Romano  
**arXiv:** [1310.5300](https://arxiv.org/abs/1310.5300)  
**Date:** 2013-10-20  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/1310.5300v2/

## Key points

- Graphical representation of detector sensitivity curves for stochastic gravitational-wave backgrounds
- Increase in sensitivity achieved through integrating over frequency and time
- Useful for cross-correlation searches with multiple detectors
- Power-law integrated sensitivity curves tailored for second-generation ground-based detectors and space-based detectors
- Extension to timing residuals from pulsar timing arrays
- Code available for replicating sensitivity curves at https://dcc.ligo.org/LIGO-P1300115/public

## Summary

The authors of this study introduce a graphical representation of detector sensitivity curves specifically designed for stochastic gravitational-wave backgrounds. This method takes into consideration the increase in sensitivity achieved through integrating over both frequency and time. These specialized graphs are particularly useful for cross-correlation searches involving unpolarized and isotropic stochastic backgrounds using multiple detectors. Through their application of this method, the authors successfully construct power-law integrated sensitivity curves tailored for second-generation ground-based detectors like Advanced LIGO, as well as space-based detectors such as LISA and the Big Bang Observer. They also extend their analysis to timing residuals from pulsar timing arrays. Researchers interested in replicating these sensitivity curves can access the code used to generate them at https://dcc.ligo.org/LIGO-P1300115/public. This comprehensive study not only provides valuable insights into detector sensitivity but also offers a practical tool for future investigations in the field of gravitational-wave astronomy.