Analysis Of Gravitational-wave Data

This page intentionally left blank ANALYSIS OF GRAVITATIONAL-WAVE DATA Research in this field has grown considerably in recent years due to the commissioning of a world-wide network of large-scale detectors. This network collects a very large amount of data that is currently being analyzed and interpreted. This book introduces researchers entering the field, and researchers currently analyzing the data, to gravitational-wave data analysis. An ideal starting point for studying the issues related to current gravitational-wave research, the book contains detailed derivations of the basic formulae related to the detectors’ responses and maximumlikelihood detection. These derivations are much more complete and more pedagogical than those found in current research papers, and will enable readers to apply general statistical concepts to the analysis of gravitational-wave signals. It also discusses new ideas on devising the efficient algorithms needed to perform data analysis. Piotr Jaranowski is an Associate Professor in the Faculty of Physics at the University of Bia lystok, Poland. He has been a visiting scientist at the Max Planck Institute for Gravitational Physics and the Friedrich Schiller University of Jena, both in Germany, and the Insti´ tut des Hautes Etudes Scientifiques, France. He currently works in the field of gravitational-wave data analysis and general-relativistic problem of motion. ´ lak is a Professor in the Institute of Mathematics at Andrzej Kr o the Polish Academy of Sciences, Poland. He has twice been awarded the Second Prize by the Gravity Research Foundation (once with Bernard Schutz). He has been a visiting scientist at the Max Planck Institute for Gravitational Physics, Germany, and the Jet Propulsion Laboratory, USA. His field of research is gravitational-wave data analysis and general theory of relativity, and the phenomena predicted by this theory such as black holes and gravitational waves. CAMBRIDGE MONOGRAPHS ON PARTICLE PHYSICS, NUCLEAR PHYSICS AND COSMOLOGY General Editors: T. Ericson, P. V. Landshoff 1. K. Winter (ed.): Neutrino Physics 2. J. F. Donoghue, E. Golowich and B. R. Holstein: Dynamics of the Standard Model 3. E. Leader and E. Predazzi: An Introduction to Gauge Theories and Modern Particle Physics, Volume 1: Electroweak Interactions, the ‘New Particles’ and the Parton Model 4. E. Leader and E. Predazzi: An Introduction to Gauge Theories and Modern Particle Physics, Volume 2: CP-Violation, QCD and Hard Processes 5. C. Grupen: Particle Detectors 6. H. Grosse and A. Martin: Particle Physics and the Schr¨ odinger Equation 7. B. Anderson: The Lund Model 8. R. K. Ellis, W. J. Stirling and B. R. Webber: QCD and Collider Physics 9. I. I. Bigi and A. I. Sanda: CP Violation 10. A. V. Manohar and M. B. Wise: Heavy Quark Physics 11. R. K. Bock, H. Grote, R. Fr¨ u hwirth and M. Regler: Data Analysis Techniques for High-Energy Physics, Second edition 12. D. Green: