Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-05-03
Astron.Astrophys.462:841-849,2007
Astronomy and Astrophysics
Astrophysics
10 pages, 5 figues, minor changes, matches the published version (A&A in press)
Scientific paper
10.1051/0004-6361:20065532
Aims. One of the main probes for systematic errors in the cosmic shear signal are the division of the shear field into E- and B-mode shear, where gravitational lensing only produces the former. As shown in a recent note, all currently used E-/B-mode separation methods for the shear correlation functions xi_pm require them to be measured to arbitrarily small and/or large separations which is of course not feasible in practice. Methods. We derive second-order shear statistics which provide a clean separation into E- and B-modes from measurements of xi_pm(theta) over a finite interval only. We call these new statistics the circle and ring statistics, respectively; the latter is obtained by an integral over the former. The mathematical properties of these new shear statistics are obtained, as well as specific expressions for applying them to observed data. Results. It is shown that an E-/B-mode separation can be performed on measurements of xi_pm over a finite interval in angular separation, using the ring statistics. We furthermore generalize this result to derive the most general class of second-order shear statistics which provide a separation of E- and B-mode shear on a given angular interval theta_min <= theta <= theta_max. Our results will be of practical use particularly for future cosmic shear surveys where highly precise measurements of the shear will become available and where control of systematics will be mandatory.
Kilbinger Martin
Schneider Peter
No associations
LandOfFree
The ring statistics - how to separate E- and B-modes of cosmic shear correlation functions on a finite interval does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The ring statistics - how to separate E- and B-modes of cosmic shear correlation functions on a finite interval, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ring statistics - how to separate E- and B-modes of cosmic shear correlation functions on a finite interval will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-308011