1. A Waveform Consistency Test for Binary Inspirals using LIGO data LSC Inspiral Analysis Working Group LIGO-G050342-00-Z LSC Meeting 8.16.05 Andres C. Rodriguez Gabriela González (Louisiana State University) Peter Shawhan (LIGO | Caltech)

2. 03 Data stream searched using matched filtering between data & template waveform. Transform data to frequency domain : s(f) Calculate the the output of optimal filter in frequency domain: h(f) s(t) = n(t) + h(t) LSC August 2005 Meeting - 8.16.05 LIGO-G050342-00-Z Template based Matched Filtering ~ ~

3. 04 LSC August 2005 Meeting - 8.16.05 Signal to Noise: LIGO-G050342-00-Z  2 :

4. Template based Matched Filtering - Thresholds 05 LSC August 2005 Meeting - 8.16.05 Signal to Noise: Require  2 : Use  -dependent threshold to account for template mismatch » Consider: » Require r 2 < r 2* So if  >  * and r 2 inspiral “trigger”  >  * LIGO-G050342-00-Z

5. Simulated Inspiral (Injection) 06 LSC August 2005 Meeting - 8.16.05 SNR r2r2 r 2* ** time (s) to inferred coalescence -2 0 +2 Injection LIGO-G050342-00-Z

6. Injection vs. Trigger 06 LSC August 2005 Meeting - 8.16.05 SNR r2r2 time (s) to inferred coalescence -2 0 +2 InjectionTrigger LIGO-G050342-00-Z

7. Injection vs. Trigger 07 LSC August 2005 Meeting r2r2 time (s) to inferred coalescence InjectionTrigger -2 0 LIGO-G050342-00-Z

8. The Test 08 Use the r 2 time series as a method to search for excess noise Choose a test threshold “looser” than the r 2 threshold the search employs » Count the number of time samples above a given threshold in a time interval before inferred coalescence Time interval “window” chosen to be 2 seconds Do my triggers behave like software, hardware injections? » yes ->> keep » no ->> veto LSC August 2005 Meeting - 8.16.05 LIGO-G050342-00-Z

9. 09 LSC August 2005 Meeting - 8.16.05 Normalized counts 2222 r2r2 0200 0 70 LIGO-G050342-00-Z  2, r 2 distribution

10. 10 LSC August 2005 Meeting - 8.16.05 0 r2r2 12 0 40 2222 LIGO-G050342-00-Z Normalized counts  2, r 2 distribution

11. Injection vs. Trigger 11 LSC August 2005 Meeting - 8.16.05 Time above Threshold = 0 sec Time above Threshold = 0.9 sec r2r2 looser r 2 threshold LIGO-G050342-00-Z

12. 12 r 2 threshold = 10 SNR LIGO-G050342-00-Z window H1 Injections Preliminary Results for S3 H1 Injections + S3 Playground Time above r 2 threshold + 0.0001s (s) M sol injections: 1.4-1.4, 1.0-1.0, 3.0-3.0 10 kpc to 10 Mpc

13. Preliminary Results for S3 H1 Injections + S3 Playground 13 r 2 threshold = 10 SNR LIGO-G050342-00-Z window H1 Injections Triggers Time above r 2 threshold + 0.0001(2)s (s)

14. 14 r 2 threshold = 10 SNR LIGO-G050342-00-Z window H1 Injections Triggers Time above r 2 threshold + 0.0001(2)s (s) Preliminary Results for S3 H1 Injections + S3 Playground For SNR ≤ 10 region with  t = 0 65% of single ifo H1 triggers 97% of single ifo H1 injections

15. Summary and Plans 15 Preliminary testing r 2 thresholds set to 10, with similar behavior for all three ifo’s. The test would be able to eliminate many of our loudest false triggers. Low SNR region is currently being investigated. Additional tuning using S3 Hardware Injections and injections into no noise. Will be incorporated into S3, S4 BNS search, and future online analysis. LIGO-G050342-00-Z LSC August 2005 Meeting - 8.16.05