2017
DOI: 10.1103/physrevd.95.103010
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Black hole mass function from gravitational wave measurements

Abstract: We examine how future gravitational-wave measurements from merging black holes (BHs) can be used to infer the shape of the black-hole mass function, with important implications for the study of star formation and evolution and the properties of binary BHs. We model the mass function as a power law, inherited from the stellar initial mass function, and introduce lower and upper mass cutoff parameterizations in order to probe the minimum and maximum BH masses allowed by stellar evolution, respectively. We initia… Show more

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Cited by 129 publications
(147 citation statements)
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“…In the mean time, there are a number of other interesting astrophysical probes in that mass range. These include future measurements of the stochastic gravitational-wave background [56][57][58][59][60] and of the mass spectrum [61], redshift distribution [62], and orbital eccentricies [63] for future binary-black-hole mergers; lensing of fast radio bursts by PBHs [64]; pulsar timing [65,66]; radio/x-ray sources [67] or the cosmic infrared background [68]; the dynamics of compact stellar systems [54]; strong-lensing systems [69]; and perhaps clustering of GW events [70][71][72][73]. The conclusions of our work suggest that it will be important to pursue vigorously these alternative avenues.…”
Section: Discussionmentioning
confidence: 99%
“…In the mean time, there are a number of other interesting astrophysical probes in that mass range. These include future measurements of the stochastic gravitational-wave background [56][57][58][59][60] and of the mass spectrum [61], redshift distribution [62], and orbital eccentricies [63] for future binary-black-hole mergers; lensing of fast radio bursts by PBHs [64]; pulsar timing [65,66]; radio/x-ray sources [67] or the cosmic infrared background [68]; the dynamics of compact stellar systems [54]; strong-lensing systems [69]; and perhaps clustering of GW events [70][71][72][73]. The conclusions of our work suggest that it will be important to pursue vigorously these alternative avenues.…”
Section: Discussionmentioning
confidence: 99%
“…A range of black hole masses is most likely present. The effects of such an assumption have been studied in the context of explaining the current rate of observed black hole merger events with LIGO [48][49][50][51][52][53][54][55]. In our case, such a black hole mass function will alter the shape of N (z), but the effect on z max is negligible since the factors that give rise to the cutoff remain as discussed earlier (namely the shape of the halo mass function and the decline in gas infall at high redshifts).…”
mentioning
confidence: 99%
“…where we set the fiducial values to α = 2.35, M gap = 5 M (3 M ; i.e., without the low mass gap), and M cut = 60 M following Abbott et al (2016b) and Kovetz et al (2017). These parameters Λ = {α, M gap , M cut } are called hyperparameters that we try to reconstruct in Sec.2.3.…”
Section: Injection Configurationsmentioning
confidence: 99%
“…We set a typical condition that the S/N of a single interferometer satisfying S/N > 8.0, as the definition of a GW event being "detected." This approximately translates into a network S/N > 12, which is conventionally used as the threshold for a network GW detector to identify the GW signals (Abadie et al 2010;Kovetz et al 2017;).…”
Section: Injection Configurationsmentioning
confidence: 99%
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