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The<br />

Journey of a<br />

Gravitational<br />

Wave Signal<br />

Along time ago in a part of space<br />

far, far away, two black holes collide<br />

- creating another, more massive black<br />

hole whilst emitting enormous amounts of<br />

gravitational waves. These waves travel at the<br />

speed of light, gradually getting weaker. They<br />

arrive at Earth where the <strong>LIGO</strong> detectors are<br />

operating nominally, about to start their first<br />

observing run. The gravitational waves cause<br />

the space-time in each of the <strong>LIGO</strong>-Livingston<br />

arms to stretch and squeeze, and 7 ms later<br />

the same thing happens at <strong>LIGO</strong>-Hanford.<br />

This stretching and squeezing causes a phase<br />

change in the laser light resonating in the<br />

arms, which registers as an electronic signal<br />

at the output of the interferometer.<br />

In the weeks leading up to an observing run,<br />

many measurements are made at each <strong>LIGO</strong><br />

site which allow the calibration team to accurately<br />

convert this electrical signal in to<br />

the dimensionless gravitational wave unit<br />

- strain. This is defined as the change in the<br />

length of the detector arms caused by a gravitational<br />

wave divided by the length of the<br />

arms themselves.<br />

Strain data from each interferometer are<br />

transferred in close to real time to a central<br />

location, where several “low latency” data<br />

analysis algorithms are ready, waiting. Only<br />

when both <strong>LIGO</strong> detectors are operational<br />

at the same time do these algorithms begin<br />

searching through the data to find a gravita-<br />

Normalized spectrograms of GW150914 in <strong>LIGO</strong>-<br />

Hanford (top) and <strong>LIGO</strong>-Livingston (bottom).<br />

tional wave signature. These analyses search<br />

for modeled and unmodeled gravitational<br />

wave signals, and have their own methods for<br />

identifying a signal. However should any analysis<br />

identify a potentially interesting signal an<br />

alert is sent out to collaboration members.<br />

The collaboration has a team of scientists on<br />

standby, 24 hours a day, 7 days a week, waiting<br />

for any alert sent through this system.<br />

Mobile phone alerts and emails are sent to<br />

the rapid response team within minutes of a<br />

gravitational wave signal being recorded by<br />

each interferometer. This team immediately<br />

meets to decide if there are any reasons to<br />

suspect the validity of the signal. For example,<br />

a list of instrumental monitors are<br />

checked and discussions are had with experts<br />

on site to ensure the interferometers<br />

were operating nominally. If no problems are<br />

found, a further team then starts the process<br />

to notify astronomers of the possible identification<br />

of a gravitational wave signal so they<br />

can point their telescopes and capture any<br />

potential electromagnetic counterpart.<br />

The “low latency” algorithms give the collaboration<br />

a first glimpse into the parameters of<br />

a signal, such as the masses of the original<br />

compact objects or where the signal came<br />

from on the sky. Parameter estimation algorithms<br />

are then launched on the data around<br />

the signal to help pinpoint the parameters to<br />

a greater certainty. In addition, offline analyses<br />

use large periods of data to confirm and<br />

search for further gravitational wave signals.<br />

Typically the offline searches use at least 5<br />

days of coincident data which ensures any<br />

signal can be found to a statistically significant<br />

level to claim a detection.<br />

These offline analyses are conducted in a<br />

blind fashion, meaning that any gravitational<br />

wave signals an analysis might identify are<br />

not presented in the initial output of the<br />

analysis pipelines. Instead, these pipelines<br />

split the data between “foreground” and<br />

“background”. Foreground data may include a<br />

gravitational wave signal, and their results are<br />

placed in a so-called “closed box”. Background<br />

data are data which cannot possibly include<br />

a real gravitational wave signal, and is used<br />

to estimate the probability of anything in the<br />

foreground being of astrophysical origin. It is<br />

these data that scientists evaluate to check an<br />

analysis was conducted in the manner intended.<br />

Once these checks have been completed,<br />

the “box” can be opened. In practice this is<br />

simply changing permissions on a webpage,<br />

but this process is very exciting. This is usually<br />

done during a teleconference with the rest of<br />

the collaboration, where hundreds of scientists<br />

are constantly refreshing a webpage to<br />

see if any of the offline pipelines identified a<br />

signal to detection significance. In the case<br />

of this event, the box opening occurred on a<br />

Monday, 3 weeks after the signal initially arrived<br />

at the detectors. From this moment the<br />

signal was identified as a possible detection<br />

and the previously agreed procedure for a detailed<br />

analysis was started.<br />

- Laura Nuttall<br />

2016<br />

33

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