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GRBs GRBs & VIRGO C7 run& VIRGO C7 run
Alessandra CorsiAlessandra Corsi &&
E. Cuoco, F. RicciE. Cuoco, F. Ricci
Gamma-Ray BurstsGamma-Ray BurstsGRB: bursts of -ray photons, divided in two major classes, short and long…
…followed by an “afterglow”: time decreasing (Ft-1.3) multi-wavelength emission. Optical counterpart allows
host detection and redshift measurements
http://imagine.gsfc.nasa.gov
http://www.europhysicsnnews.com/full/12/article7/piro_fig2.jpg
How is a GRB produced?How is a GRB produced?
Progenitor hidden from direct observation: Progenitor hidden from direct observation: radiation emitted at d > 10radiation emitted at d > 101313 cm cm
http://www.astro.psu.edu/users/niel/astro130/images/sci_american_gehrels_2002.jpg
Merger of compact binaries or Merger of compact binaries or collapse of massive rotating stars collapse of massive rotating stars
(“collapsar”):both progenitor types (“collapsar”):both progenitor types result in a few solar mass BH, result in a few solar mass BH, surrounded by a torus whose surrounded by a torus whose
accretion can provide a sudden accretion can provide a sudden release of energy, sufficient to release of energy, sufficient to
power a burst. power a burst.
But different natural timescales But different natural timescales imply different burst durationsimply different burst durations
(short vs long (short vs long mergers vs mergers vs collapsars)collapsars)
Thus GRBs are the result of Thus GRBs are the result of catastrophic events:catastrophic events: GWs should GWs should be emitted from the immediate be emitted from the immediate
neighborhood of the GRB neighborhood of the GRB central engine!central engine!
Progenitor ModelsProgenitor Models
How can we investigate on GRB-GW connection?How can we investigate on GRB-GW connection?
…bar detectors (e.g. Explorer
and Nautilus), as seen in the
previous talk by G. Modestino
…interferometers, e.g. VIRGO (in figure, this talk) and LIGO
… … andand
Swift , Swift , 100 bursts/year, 100 bursts/year, afterglows of short GRBs afterglows of short GRBs
detected!detected!
Estimating the strains of GWs from GRB progenitor candidatesEstimating the strains of GWs from GRB progenitor candidates
In-spiral:In-spiral: hc(f) ~ 1.4x10-21 (d /10 Mpc)-1 M 5/6 (f /100 Hz)-1/6
f fi ~ 1000 [M/2.8M ]-1 Hz
Merger: Merger: hc ~ 2.7x10-22 (d /10 Mpc)-1 (4 /M) F-1/2(a) (m /0.05)1/2
fi f fq ~ 32 kHz F(a) (M/M)-1
Em= m (4/M)2 M c2
F(a)= 1- 0.63 (1-a)3/10
Ring-down:Ring-down: slowly damped mode, l=m=2, peaked at fq and width f:f ~ fq/Q(a), where Q(a)=2(1-a)-9/20
hc(fq) ~ 2.0x10-21 (d /10 Mpc) -1 (/M ) [Q /14 F]1/2 (r /0.01)1/2Typical (optimistic?) valuesTypical (optimistic?) values
a ~ 0.98 m ~ 0.05 r ~ 0.01
M=(m1, m2,)3/5 (m1, + m2,)-1/5 = (m1, ) q-2/5/(q+1)1/5 M=m1+m2 =m1/(1+q)
Short GRBs, Short GRBs, optimal optimal
filtering can be filtering can be appliedapplied
Short & Long GRBs, Short & Long GRBs, order of magnitude order of magnitude
estimate of hestimate of hcc
Short & Long GRBs Short & Long GRBs
Kobayashi & Kobayashi & Meszaros 2003Meszaros 2003
Characteristic GW amplitude from GRB candidate progenitors compared with Characteristic GW amplitude from GRB candidate progenitors compared with the VIRGO noise curve [f Sthe VIRGO noise curve [f Shh(f)](f)]1/21/2
ns-nsns-ns mm11= m= m2 2 =1.4 M=1.4 M
- - - - in-spiral - - - - in-spiral - - -merger
bh-ns bh-ns mm11=12 M=12 M m m22 =1.4 M =1.4 M
- - - in-spiral - -merger ring-down
bh-he mbh-he m11=3 M=3 M m m22 =0.4 M =0.4 M
- - - - merger ring-down - - - - merger ring-down
Collapsar mCollapsar m11= m= m22 =1 M =1 M
- - - - merger- - - - merger
53 Mpc
220 Mpc
1100 Mpc
Advanced VirgoInitial Virgo Initial Virgo
Advanced Virgo
2300 Mpc
280 Mpc
62 Mpc
Advanced VirgoInitial Virgo
95 Mpc62 Mpc
Advanced VirgoVirgo
110 Mpc
27 Mpc 23 Mpc
490 Mpc
GRB 980425 d=40 MpcGRB 980425 d=40 MpcGRB 980425 d=40 MpcGRB 980425 d=40 Mpc
Do we have data to analyze?Do we have data to analyze?
GRB 050730 GPS 806788716 SwiftGRB 050801 GPS 806956095 SwiftGRB 050802 GPS 807012495 SwiftGRB 050803 GPS 807131655 SwiftGRB 050807 GPS 810447538 HETE
VIRGO C6VIRGO C6 GRB 050915a GPS 810818575 SwiftGRB 050915b GPS 810154597 SwiftGRB 050916 GPS 810923765 Swift
VIRGO C7VIRGO C7
z unknown (no host galaxy identified), T90=53 s (15-350 keV),
long GRB search for a burst burst type eventtype event in VIRGO data
…as seen in the talk by G. Modestino, 2005 events are good to be analyzed: the sample of GRBs is large are there there
are both long and short GRBsare both long and short GRBs with redshift known and < 1
… moreover, in 2005 we have VIRGO runs C6 and C7!
http://heasarc.gsfc.nasa.gov/docs/swift/bursts/index.html
Run filter to search for burst-like events and remove periods coincidentcoincident with vetoesvetoes
Select a signal regionsignal region: data segment 4 minutes long, centered on the GRB
trigger time (2 min before + 2 min after)
Select a bkg regionbkg region: long data segment around the signal region (we have taken the entire seg. 11 (in hrec), 16500 s)
Define bkg statistical properties: estimate false alarm rate and set
a threshold for “good” events“good” events
Using software injections, estimate the h
corresponding to 90% detection efficiency for
“good” events
Remove periods coincident with vetoes and select “good” events
Some “good” events are found No “good” events
Estimate corresponding h
Set an upper limit
Connect with EM signal properties
Run filter to search for burst-like events
GRB: Trigger time GRB: Trigger time
Background region eventsBackground region events
We are using the“Wavelet Detection Filter” We are using the“Wavelet Detection Filter” (WDF) by Elena Cuoco(WDF) by Elena Cuoco (see VIR-NOT-EGO-1390-305 & VIR-NOT-EGO-1390-110)(see VIR-NOT-EGO-1390-305 & VIR-NOT-EGO-1390-110)
16500 s
Distribution of events duration after Distribution of events duration after clusterizationclusterization grouping all successive bins (0.6 grouping all successive bins (0.6
ms resolution) with S/N > 2, separated in time less ms resolution) with S/N > 2, separated in time less than 50 ms (need to test effect of variations)than 50 ms (need to test effect of variations)
Raw channel: background region event durationsRaw channel: background region event durations
Background region SNR Background region SNR distributiondistribution
A given threshold in S/N A given threshold in S/N corresponds to a false alarm rate corresponds to a false alarm rate R. The corresponding chance P to R. The corresponding chance P to
have m false alarms in a 2 min long have m false alarms in a 2 min long window is:window is:
P=[(R*240)P=[(R*240)mm/m!]*exp(-R*240s) /m!]*exp(-R*240s)
The expected value of f.a.=The expected value of f.a.= R*240s R*240s
R=1x10R=1x10-3 -3 Expected Expected 0.24 f.a 0.24 f.a (S/N) (S/N) threthre 2020
R=4x10R=4x10-3-3 Expected Expected 1 f.a. 1 f.a. (S/N) (S/N) threthre 1515
R=0.1 R=0.1 Expected Expected 24 f.a. 24 f.a. (S/N) (S/N) threthre 66
Raw vs hrec channel: Raw vs hrec channel: events in the signal region events in the signal region
Need to clean the source Need to clean the source region by performing a region by performing a
veto study (this may veto study (this may allow to lower the event allow to lower the event rate corresponding to a rate corresponding to a given threshold and to given threshold and to
remove events eventually remove events eventually found above threshold)found above threshold)
Signal Region: 240s long, centered on the
GRB trigger time. 3x103x10-19 -19 in hin h
hrechrec
RawRaw
Raw vs hrec channel: signal regionRaw vs hrec channel: signal region
hrechrec hrechrec
RawRaw RawRaw
Work in progressWork in progress
To properly set an upper-limit, filter efficiency evaluation needed injection of known signals in the background region to test the efficiency of detection for events above the chosen threshold (still need to be done software injections needed);
Once the filter efficiency curve is built, the h corresponding to 90% detection efficiency is used to set an upper-limit;
To improve the upper limit or remove events eventually found in the source region Veto analysis: repeat the procedure adopted for the dark fringe in the noise channels, using the same bkg and signal regions; when coincident events are found (what does coincident mean? need to test!), use them as vetos (See also a parallel re-analysis of veto studies that is being performed by See also a parallel re-analysis of veto studies that is being performed by Marina Del PreteMarina Del Prete using the WDF - results reported at using the WDF - results reported at https://workarea.ego-gw.it/ego2/virgo/data-analysis/noise-study/veto-studies/grb/))
Finally, connect with EM signal to find clues on the progenitor: this part of this part of the work is being developed in collaboration with the IASF-Rome/INAF: A.C. the work is being developed in collaboration with the IASF-Rome/INAF: A.C. & Luigi Piro& Luigi Piro
Analysis of Em_SEDBDL03: acoustic noise by picomotors in the detection benchAnalysis of Em_SEDBDL03: acoustic noise by picomotors in the detection bench
Analysis of Em_SEDBDL03: event durations distributionAnalysis of Em_SEDBDL03: event durations distribution
See also the analysis by See also the analysis by Marina Del PreteMarina Del Prete ( (https://workarea.ego-gw.it/ego2/virgo/data-analysis/noise-study/veto-studies/grb/
))
Prelim
inary
Stu
dy
Analysis of Em_SEDBDL03: use percentage vs coincidence windowAnalysis of Em_SEDBDL03: use percentage vs coincidence window
Prelim
inary
Stu
dy
Analysis of Em_SEDBDL03: veto efficiency vs coincidence windowAnalysis of Em_SEDBDL03: veto efficiency vs coincidence window