Cumulative analysis of the association between the data of the gravitational wave detectors NAUTILUS and EXPLORER and the gamma ray bursts detected by BATSE and BeppoSAX

Abstract

The statistical association between the output of the Gravitational Wave (GW) detectors EXPLORER and NAUTILUS and a list of Gamma Ray Bursts (GRBs) detected by the satellite experiments BATSE and BeppoSAX has been analyzed using cumulative algorithms. GW detector data collected between 1991 and 1999 have been searched for an energy excess in a 10 s interval around the GRB flux peak times. The cumulative analysis of the data relative to a large number of GRBs (387) allows to push the upper bound for the corresponding GW burst amplitude down to h=2.5x10(-19)

Status report on the EXPLORER and NAUTILUS detectors and the present science run

“…A search for correlated excess of energy in the two detectors, within 10 s around the GRB flux peak times, was done. Using the data relative to 387 GRBs an upper bound for the corresponding GW burst amplitude of h = 2.5 × 10 −19 was given [14].…”

SGR 1806-20 and the gravitational wave detectors EXPLORER and NAUTILUS

“…In the past, this method has been applied to study correlations between EXPLORER and NAUTILUS data and gammaray bursts [24,25]. It has been also used and developed in the second, third and fourth LIGO science run data analysis [26], and more recently, in the enlarged LIGO-Virgo collaboration for gamma-ray burst search [27].…”

“…The second algorithm regards the crosscorrelation function calculated between the EXPLORER and NAUTILUS data streams, as shown in Sec. V. Following previous methods [24][25][26][27], cumulative analyses are performed on the sample of 73 measurements, obtaining several mismatches of the order of 1% probability or less from the background. The statistical significance is evaluated on the basis of the local probability and binomial tests of the resulting loudest measurements.…”

Gravitational waves and gamma-ray bursts

“…LIGO and Virgo have been carrying out electromagnetically triggered searches for GWs (Abbott et al 2005(Abbott et al , 2007Acernese et al 2007;Abbott et al 2008b,a;Acernese et al 2008b;Abbott et al 2009a;Abadie et al 2010b;Abbott et al 2010;Abadie et al 2011Abadie et al , 2012 over the past decade (for bar detectors electromagnetically triggered searches, see e.g. Astone et al 1999Astone et al , 2002Astone et al , 2005Baggio et al 2005). The LIGO Scientific Collaboration operates two LIGO observatories in the U.S. along with the GEO600 detector (Grote & LIGO Scientific Collaboration 2010) in Germany.…”