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This study investigates the correlation between Milagro sources and EGRET catalogs, focusing on the overlap probabilities of detected gamma-ray sources in a specific region of the Galaxy. We analyze several Milagro candidates, such as MGRO J2031+41 and MGRO J2019+37, and assess their proximity to EGRET sources. By employing Monte Carlo simulations and combinatorial techniques, we evaluate the statistical significance of overlap. The findings suggest the need for careful consideration of diffuse models in source identification and the significance of claims made regarding new discoveries in high-energy astrophysics.
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MGRO J2031+41 (GeV J2035+4214) MGRO J2005+33 (high matter density?) MGRO J2226+60 (Boomerang PWN) MGRO J2019+37 (GeV J2020+3658) MGRO J2044+36 (no counterpart) MGRO J1908+06 (GeV J1907+0557) MGRO J2031+36 (extension of J2019?) MGRO J0634+17 (Geminga) Crab nebula Milagro-EGRET Correlation
Milagro/EGRET Overlap Probability • 14 EGRET sources in the GeV catalog (in this region of the Galaxy) • N(=6,7,8?) Milagro sources • 5 EGRET sources are “close” to Milagro candidates • “close” = falls within a 3x3 bin drawn around each Milagro candidate • What is the probability of this? • Monte Carlo • Analytic (not quite correct)
Monte Carlo 20 190
8 Milagro Sources 8 x 10-6 chance that 5 of 8 overlap w/EGRET
6 Milagro Sources 2 x 10-6 chance that 5 of 6 overlap w/EGRET
Analytic Method • Place 8 (6?) Milagro sources with 3x3 degree bins around each within a 190x20 degree region. • Throw 1 EGRET source • Probability (P1) to land in a Milagro region • Nsources x Bin Area/ Regional Area • 8 x 9 / (190x20) = 0.019 • 6 x 9 / (190x20) = 0.014
Combinatorics • 14 Choose j (= # overlaps) possible combinations (not quite correct, there are more). • Then sum to get probability of N overlaps or more
3 4 5 6 7 8 N of 8 Milagro Sources Overlap 5 x 10-6 chance that 5 of 8 overlap w/EGRET
N of 6 Milagro Sources Overlap 3 4 5 6 1 x 10-6 chance that 5 of 6 overlap w/EGRET
MGRO J2019+37 MGRO J2032+41 MGRO J2005+33 MGRO J2031+36 MGRO J2044+36 Diffuse vs. Point Source
Post Trial Significance 0. 4.2% 0. 30% 0. 9.e-3 4.2e-7 .003 30% Assume 150,000 trials
Conclusion • We need to know what we are claiming to see • We need to know what we mean by “close to” • Given my assumptions overlap probability (5 of 8 Milagro candidates) is 8 x 10-6 (4.3 ) • We should incorporate diffuse model in source search • We should be careful about claiming discovery with marginal significance and a posteriori hypotheses