Source blending effects on microlensing time-histograms and optical depth determination

Details Source blending effects on microlensing time-histograms and optical depth determination Source blending effects on microlensing time-histograms and optical depth determination

2005-07-07

arxiv.org/abs/astro-ph/0507179v1

Astronomy and Astrophysics

Astrophysics

Accepted in Astronomy Astrophysics. Note that these calculations were conducted in 2001, prior to the recent DIA analyses ment

Scientific paper

10.1051/0004-6361:20053462

Source blending in microlensing experiments is known to modify the Einstein time of the observed events. In this paper, we have conducted Monte-Carlo calculations, using the analytical relationships derived by Han (1999) to quantify the effect of blending on the observed event time distribution and optical depth. We show that short-time events are affected significantly by source blending and that, for moderately blended sources, the optical depth $\tau$ is globally overestimated, because of an underestimation of the exposure. For high blending situations, on the opposite, blending leads to an {\it under}estimation of the optical depth. Our results are in agreement with the most recent optical depth determinations toward the Galactic Center of the MACHO collaboration (Popowski et al. 2004) and the OGLE-II collaboration (Sumi et al. 2005) that use clump giants (less affected by the blending effect) as sources. The blending-corrected, lower optical depth toward the Galactic Bulge is now in good agreement with the value inferred from galactic models, reconciling theoretical and observational determinations.

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