The construction and use of LISA sensitivity curves

Abstract

The Laser Interferometer Space Antenna (LISA) will open the mHz band of the gravitational wave spectrum for exploration. Sensitivity curves are a useful tool for surveying the types of sources that can be detected by the LISA mission. Here we describe how the sensitivity curve is constructed, and how it can be used to compute the signal-to-noise ratio for a wide range of binary systems. We adopt the 2018 LISA Phase-0 reference design parameters. We consider both sky-averaged sensitivities, and the sensitivity to sources at particular sky locations. The calculations are included in a publicly available {\em Python} notebook.

arXiv comment16 pages, 11 figures. New section add on non-sky averaged SNR calculations

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• Gravitational wave signals from primordial black holes orbiting solar-type stars
• Prospects of constraining on the polarizations of gravitational waves from binary black holes using space- and ground-based detectors
• Constraints on Einstein-dilaton Gauss-Bonnet gravity with Taiji
• Comparison and application of different post-Newtonian models for inspiralling stellar-mass binary black holes with space-based GW detectors
• Constraining parity and Lorentz violations in gravity with future ground- and space-based gravitational wave detectors
• Probing WIMPs in space-based gravitational wave experiments
• Neutron displacement noise-free interferometer for gravitational-wave detection
• Vacuum Spacetime With Multipole Moments: The Minimal Size Conjecture, Black Hole Shadow, and Gravitational Wave Observables
• Evolution and detection of vector superradiant instabilities
• Prospects for the Observation of Continuous Gravitational Waves from Deformed Fast-spinning White Dwarfs
• Intermediate-mass-ratio inspirals with general dynamical friction in dark matter minispikes
• Reconstructing the LISA massive black hole binary population via iterative kernel density estimation
• On the Formation of GW190521-like Binary Black Hole Merger Systems
• Exploring the multiband gravitational wave background with a semi-analytic galaxy formation model
• Effect of magnetic fields on the dynamics and gravitational wave emission of PPI-saturated self-gravitating accretion disks: simulations in full GR
• Probing Spin-2 Ultralight Dark Matter with Space-based Gravitational Wave Detectors in the mHz Regime
• Identifying intermediate mass binary black hole mergers in AGN disks using LISA
• The Dawn of Black Holes
• The effects of Galactic model uncertainties on LISA observations of double neutron stars
• Science Potential for Stellar-mass Black Holes as Neighbors of Sgr A*
• Detecting gravitational signatures of dark matter with atom gradiometers
• Gravitational waves of quasi-circular, inspiraling black hole binaries in an ultralight vector dark-matter environment
• Spherical inspirals of spinning bodies into Kerr black holes
• Gravitational wave imprints on spontaneous emission
• Probing Kalb-Ramond field with extreme mass ratio inspirals
• Identifying Disappearance of a White Dwarf Binary with LISA
• Revealing Double White Dwarf Mergers with Multi-messenger Signals
• Profiling stellar environments of gravitational wave sources
• Revealing the nature of long-period transients with space-based gravitational-wave interferometers
• Probing the Dark Solar System: Detecting Binary Asteroids with a Space-Based Interferometric Asteroid Explorer
• Periodic orbits and their gravitational wave radiations in $\gamma$-metric
• Handling Data Gaps for the Next Generation of Gravitational-Wave Observatories
• Evaluating the gravitational wave detectability of globular clusters and the Magellanic Clouds for LISA
• Constraining the modified friction in gravitational wave propagation with precessing black hole binaries
• Gravitational wave signatures and detectability of the mass transfer effect in compact binaries
• An SZ-Like Effect on Cosmological Gravitational Wave Backgrounds
• Distinguishing dark matter halos with Extreme mass ratio inspirals
• Sky localization of space-based detectors with time-delay interferometry
• Detecting the heterodyning of gravitational waves
• Detection for Intermediate-mass Binary Black Holes in Population III Star Clusters with TianQin
• Suppressing data anomalies of gravitational reference sensors with time delay interferometry combinations
• Detectability of the gravitational-wave background produced by magnetar giant flares
• Probing the Growth of Massive Black Holes with Black Hole-Host Galaxy Spin Correlations
• Gravitational Waves from Superradiant Cloud Level Transition
• Measurable Parameter Combinations of Environmentally-dephased EMRI Gravitational-Wave Signals
• Properties of white dwarf in the binary system AR Scorpii and its observed features
• Gravitational Wave Duet by Resonating Binary Black Holes within Ultralight Dark Matter
• On the detectability of gravitational waves from primordial black holes orbiting Sgr A*
• Gravitational Wave Strain and Orbital Dynamics of Binary Pulsars from LIGO-Virgo to LISA
• Gravitational wave background from extreme-mass-ratio inspirals
• Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals
• Measuring gravitational wave spectrum from electroweak phase transition and Higgs self-couplings
• Discriminating scalar ultralight dark matter from quasi-monochromatic gravitational waves in LISA
• Search for Higher Harmonic Signals from Close White Dwarf Binaries in the mHz Band
• Constraints on the Scale Parameter of Regular Black Hole in Asymptotically Safe Gravity from Extreme Mass Ratio Inspirals
• Probing Formation of Double Neutron Star Binaries around 1mHz with LISA
• Detectability of Massive Boson Stars using Gravitational Waves from Fundamental Oscillations
• Stellar Stripping and Disruption in Disks around Supermassive Black Hole Binaries: Repeating nuclear transients prior to LISA events
• Calibrating approximate Bayesian credible intervals of gravitational-wave parameters
• Circularly Polarized Gravitational Wave Background Search with a Network of Space-borne Triangular Detectors
• Tests of general relativity at the fourth post-Newtonian order
• Extracting overlapping gravitational-wave signals of galactic compact binaries: a mini review
• Outer Solar System spacecraft to probe the $\mu$Hz gravitational wave frontier
• Constraints on High-Frequency Gravitational Waves from Graviton-Photon Conversion in the M87 Galaxy
• Probing Dark Matter Clumps, Strings and Domain Walls with Gravitational Wave Detectors
• Elastic Scattering of Cosmological Gravitational Wave Backgrounds: Primordial Black Holes and Stellar Objects
• Detection prospects for the GW background of Galactic (sub)solar mass primordial black holes
• The landscape of massive black-hole spectroscopy with LISA and Einstein Telescope
• Supercooled Audible Axions
• The impact of relativistic corrections on the detectability of dark-matter spikes with gravitational waves
• Coupling of Dual Mass-Transferring White-Dwarf Binaries as a Variable Gravitational-Wave Emitter
• Gravitational waves from equatorially eccentric extreme mass ratio inspirals around swirling Kerr black holes
• LISA Galactic Binaries in the Roman Galactic Bulge Time-Domain Survey
• Bayesian analysis of the complex singlet model with phase transition gravitational waves
• The imprint of gas on gravitational waves from LISA intermediate-mass black hole binaries
• Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
• Perturbative Frequency Expansion for Nearly Monochromatic Binary Black Holes Detectable with LISA
• Gravitational wave energy spectral density properties from BPASS Galactic binary population in the Milky Way galaxy
• Gravitational emissions and light curves of quasi-periodic orbits in Schwarzschild spacetime embedded in a Dehnen-type dark matter halo
• Constraining Kerr supermassive black hole properties using gravitational waves from inspiraling stellar-mass binary black holes
• Parameter estimation for space-based gravitational wave detectors with ringdown signals
• Detecting White Dwarf Binary Mergers with Gravitational Waves
• Dark Matter Clumps as Sources of Gravitational-Wave Glitches in LIGO/Virgo/KAGRA data
• Distinguishing gravity theories with networks of space-based gravitational-wave detectors
• Constraining gravitational wave velocities using gravitational and electromagnetic wave observations of white dwarf binaries
• MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
• Extending the micro-Hertz detection horizons via orbital resonance effect for geocentric gravitational wave antennas
• Capability for detection of GW190521-like binary black holes with TianQin
• Searching Stochastic Gravitational Wave Background Landscape Across Frequency Bands
• Dirty waveforms: multiband harmonic content of gas-embedded gravitational wave sources
• The new generation lunar gravitational wave detectors: sky map resolution and joint analysis
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes
• Rapid sinking and efficient mergers of supermassive black holes in compact high-redshift galaxies
• Correlation of Gravitational Wave Background Noises and Statistical Loss for Angular Averaged Sensitivity Curves
• Merger rates of intermediate-mass black hole binaries in nuclear star clusters
• Tests for the existence of horizon through gravitational waves from a small binary in the vicinity of a massive object
• Constraining Lorentz and parity violations in gravity with multiband gravitational wave observations
• Extreme Mass Ratio Inspirals in Light of Quasi-periodic Eruptions: Milli-Hertz Gravitational Wave Background
• Detectability of continuous gravitational waves from planetary-mass companions orbiting compact stars
• Detectability of compact intermediate-mass black hole binaries as low-frequency gravitational wave sources: the influence of dynamical friction of dark matter
• Testing classical-quantum gravity with geodesic deviation
• Inflationary phase transitions in the early Universe: A Bayesian study with space-based gravitational-wave detectors
• Constraints and detection capabilities of GW polarizations with space-based detectors in different TDI combinations
• A Falsifiable Timing Test for the Double-White-Dwarf Model of Long-Period Transients