{"work":{"id":"c3a7d87e-e206-4f8f-9468-ab244b1b5d19","openalex_id":null,"doi":null,"arxiv_id":"1310.5300","raw_key":null,"title":"Sensitivity curves for searches for gravitational-wave backgrounds","authors":null,"authors_text":"E","year":2013,"venue":"astro-ph.IM","abstract":"We propose a graphical representation of detector sensitivity curves for stochastic gravitational-wave backgrounds that takes into account the increase in sensitivity that comes from integrating over frequency in addition to integrating over time. This method is valid for backgrounds that have a power-law spectrum in the analysis band. We call these graphs \"power-law integrated curves.\" For simplicity, we consider cross-correlation searches for unpolarized and isotropic stochastic backgrounds using two or more detectors. We apply our method to construct power-law integrated sensitivity curves for second-generation ground-based detectors such as Advanced LIGO, space-based detectors such as LISA and the Big Bang Observer, and timing residuals from a pulsar timing array. The code used to produce these plots is available at https://dcc.ligo.org/LIGO-P1300115/public for researchers interested in constructing similar sensitivity curves.","external_url":"https://arxiv.org/abs/1310.5300","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-23T22:35:50.425613+00:00","pith_arxiv_id":"1310.5300","created_at":"2026-05-10T13:00:24.200607+00:00","updated_at":"2026-05-23T22:35:50.425613+00:00","title_quality_ok":true,"display_title":"Sensitivity curves for searches for gravitational-wave backgrounds","render_title":"Sensitivity curves for searches for gravitational-wave backgrounds"},"hub":{"state":{"work_id":"c3a7d87e-e206-4f8f-9468-ab244b1b5d19","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":21,"external_cited_by_count":null,"distinct_field_count":4,"first_pith_cited_at":"2020-02-11T19:00:01+00:00","last_pith_cited_at":"2026-05-14T17:59:55+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-29T22:50:32.289832+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":12},{"context_role":"method","n":2}],"polarity_counts":[{"context_polarity":"background","n":11},{"context_polarity":"use_method","n":2},{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}