C&A 8 May 06 1 Point Source Localization: Optimizing the CTBCORE cut Toby Burnett University of Washington.

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Presentation transcript:

C&A 8 May 06 1 Point Source Localization: Optimizing the CTBCORE cut Toby Burnett University of Washington

C&A 8 May 06 2 Recall the Simple PSF parameterization LATDOC AM-04355: We define a PDF in the angular deviation  with two parameters:  : a scale  : the power law Corner: defined by  Tail defined by  An example fit using allgamma

C&A 8 May 06 3 The Classification Tree Analysis Recall that there are four trees, one for front and back, and whether a single track or vertex predicts a better PSF. They are combined in a single variable CTBCORE. The DC2 event class “class A” is defined by CTBCORE>0.35. This cut was not optimized: while increasing it reduces the effective area, it also dramatically improves the PSF, as Bill has shown:  Can we improve the pointing resolution by restricting CTBCORE? All gamma, class A Class A cut

C&A 8 May 06 4 Spectrum of source MRF0141_v1r2 at ra, dec= , level events sig fraction TS / / / / / / / / Gradient delta ra dec error Ts *** good fit *** Localization Analysis Presented last week: –Based on UW simple likelihood function: the simple PSF + uniform background, one parameter describing the signal fraction in each of 8 energy bands. –Localization done by maximizing the total likelihood (or TS) with respect to position. –Output from /users/burnett/tools: two stages: spectrum, position Initial position for signal fraction fits Total TS: just add TS for each band Maximize total TS by varying position (fractions fixed) Projected error (deg) from likelihood curvature

C&A 8 May 06 5 Expected position Resolution See the LATDOC: projected resolution varies with , , and the efficiency  as Note that for the Gaussian case, , it becomes  /  N, where N is the total number of events (This ignores the effect of background, which degrades the resolution) So, as we increase CTBCORE, we expect  to increase, but  to decrease: is there an optimum?

C&A 8 May 06 6 Measurements from AllGamma The following plot was derived from PSF fits to class A front, integrating over all angles for each of the 8 energy bands, weighed for a E -2 signal. The effect is spectacular! The variation of  is flat. So, what about the counting factor  ?

C&A 8 May 06 7 The bottom Line CTBCORE>0.35 looks just fine: super job, Bill !