Probing the Milky Way with LISA: Extracting astrophysics from the compact binary population

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Utah State University DigitalCommons@USU Colloquia and Seminars Astrophysics 2-7-2011 Probing the Milky Way with LISA: Extracting astrophysics from the compact binary population Shane L. Larson Utah State University Follow this and additional works at: https://digitalcommons.usu.edu/astro_colloq Part of the Astrophysics and Astronomy Commons Recommended Citation Larson, Shane L., "Probing the Milky Way with LISA: Extracting astrophysics from the compact binary population" (2011). Colloquia and Seminars. Paper 3. https://digitalcommons.usu.edu/astro_colloq/3 This Presentation is brought to you for free and open access by the Astrophysics at DigitalCommons@USU. It has been accepted for inclusion in Colloquia and Seminars by an authorized administrator of DigitalCommons@USU. For more information, please contact dylan.burns@usu.edu.

PROBING THE MILKY WAY WITH LISA: Extracting astrophysics from the compact binary population Shane L. Larson Department of Physics Utah State University s.larson@usu.edu Gravity Seminar Washington State University 7 February 2011 1

Storyline Some info about the Milky Way Some info about the Ultracompact Binaries Vignettes Mass-Transferring Binaries (Ruiter et al. [2010]) The Shape of the Galaxy (in progress) 2

The Milky Way SBc barred spiral galaxy Diameter: 100,000 lightyears Mass: 7.0 x 10 11 M Number of stars: ~200 billion 10-80 million ultracompact binaries in LISA band 3

The LISA Discovery Space hundreds Exotica: halo binaries, cosmic backgrounds, superstring bursts, phase transitions... millions thousands hundreds LARSON, HISCOCK & HELLINGS (2000) 4

The Close Binaries There are so many binaries, their signals overlap, and it is difficult to tell them apart This is called the confusion limit, and is analogous to a cocktail party You can hear people nearby You can hear loud people Alll else is a dull noise 5

The Close Binaries Most of the close binaries are monochromatic over a LISA observation time The power is gathered in single lines in the power spectrum The signals are modulated by LISA s motion (that s how we point) Spreads the signal power over many bins in frequency In order to be separable, the binary central frequencies must be separated by several bins 3 bin rule 6

The Close Binaries There are so many binaries, their signals overlap, and it is difficult to tell them apart This is called the confusion limit, and is analogous to a cocktail party You can hear people nearby You can hear loud people Alll else is a dull noise ~10,000 binaries will be separable from the confusion (depends on method) A subset of the 10,000 will be visible in telescopes (some are already known) 7

Perspectives... The binaries are generally viewed from two common perspectives: The nearby known resolvable binaries are strong and will be visible almost immediately VERIFICATION BINARIES The sum of the galactic close binaries are an irreducible astrophysical foreground that impedes other LISA observations CONFUSION FOREGROUND 8

Questions to ask... The binaries are the single largest population of sources LISA will see What can we learn from and about the binaries? Don t ask questions about data analysis and extracting signals Ask what information is encoded in the extracted information (science analysis) What do the binaries tell us about binary evolution? What do the binaries tell us about the Milky Way? 9

Irreducible Astrophysical Foreground 10

Population Synthesis Our knowledge of GW binaries is limited to those close by that can be seen by (lame) photon telescopes ~40 known, ~6 well studied Randomly generate initial populations of stars and evolve them in time Track mass transfer, period evolution, gravitational wave emission, tidal effects Result: population of stars we use to compute the gravitational wave signal from the entire galaxy 11

Binary Evolution Standard estimates of the background only include detached binaries Mass transfer has significant effect on period evolution At any given period, there are two distinct populations of binaries contributing to the overall gravitational wave signal 12

Mass transferring binaries RBBLW [2010] The confusion limit extends higher than the standard limit Detached binaries: fc! 3 mhz RLOF binaries: fc! 6 mhz 13

Galactic Distribution In addition to distributing the astrophysical parameters of the binaries, we have to also place them spatially in the galaxy The parameters that describe the shape of the galaxy are unknown because we can t see through the entire galaxy 14

The Low Frequency Galaxy 15

The Resolvable Galaxy Resolvable binaries can be separated from the background, and retain information about the distribution of systems on the sky (2D information) 16

Chirping Binaries Of the 10,000 resolvable binaries, a couple of thousand will be chirping 3D information! 17

Work in Progress: KDE and Shape Recovery Can LISA determine the radial and vertical scale height of the galaxy? Simulate different models of the galaxy, look at the chirping binaries Heuristically: histogram the 3D distributions, look for scale heights Histograms depend on choice of bin width, so use Kernel Density Estimation 18

Galactic Models: Parameter variation N* ro (kpc) zo (pc) 30 MB 2.0 200 30 MB 2.5 100 30 MB 2.5 200 30 MB 2.5 300 30 MB 2.5 500 75 MB 2.5 500 30 MB 3.0 200 Even though spatial parameters might be the same, other parameters (like local space density) drastically affect the total number of systems 19

Work in Progress: Beware of dangers... Care must be taken interpreting the distribution of detected binaries: bias toward nearby sources The total number of sources is dominated by the galactic bulge The local overdensity (sample bias) is axially aligned with the bulge BENACQUISTA, LARSON, TAYLOR [2007] 20

Work in Progress: Beware of dangers... Care must be taken interpreting the distribution of detected binaries: bias toward higher chirp masses The total number of sources is dominated by the low mass binaries, but we recover high fractions of high mass binaries 21

Work in Progress: Beware of dangers... Care must be taken interpreting the distribution of detected binaries: bias toward higher frequencies The source recovery is best above the confusion limit; it is unknown how the higher frequency binaries track with the rest of the population 22