J/ApJ/827/139 Microlensing optical depth & event rates from MOA-II (Sumi+, 2016)

Possible solution of the long-standing discrepancy in the microlensing optical depth toward the Galactic bulge by correcting the stellar number count. Sumi T., Penny M.T. <Astrophys. J., 827, 139-139 (2016)> =2016ApJ...827..139S 2016ApJ...827..139S (SIMBAD/NED BibCode)
ADC_Keywords: Milky Way ; Gravitational lensing ; Surveys Keywords: Galaxy: bulge; gravitational lensing: micro Abstract: We find that significant incompleteness in stellar number counts results in a significant overestimate of the microlensing optical depth τ and event rate per star per year Γ toward the Galactic bulge from the first two years of the MOA-II survey. We find that the completeness in red clump giant (RCG) counts fRC decreases proportional to the galactic latitude b, as fRC=(0.63±0.11)-(0.052±0.028)xb, ranging between 1 and 0.7 at b=-6°~-1.5°. The previous measurements using all sources by difference image analysis (DIA) by MACHO and MOA-I suffer the same bias. On the other hand, the measurements using an RCG sample by OGLE-II, MACHO, and EROS were free from this bias because they selected only the events associated with the resolved stars. Thus, the incompleteness both in the number of events and stellar number count cancel out. We estimate τ and Γ by correcting this incompleteness. In the central fields with |l|<5°, we find Γ=[18.74±0.91]x10-6exp[(0.53±0.05)(3-|b|)]/star/yr and τ200=[1.84±0.14]x10-6exp[(0.44±0.07)(3-|b|)] for the 427 events with tE≤200 days using all sources brighter than Is≤20mag. Our revised all-source τ measurements are about 2σ smaller than the other all-source measurements and are consistent with the RCG measurements within 1σ. We conclude that the long-standing problem on discrepancy between the high τ with all-source samples by DIA and low τ with RCG samples can probably be explained by the incompleteness of the stellar number count. A model fit to these measurements predicts Γ=4.60±0.25x10-5/star/yr at |b|~-1.4° and -2.25°<l<3.75° for sources with I≤20, where the future space mission, Wide Field Infrared Space Telescope, will observe. Description: We use the same data set as Sumi+ (2013, J/ApJ/778/150), which used the data taken in the 2006 and 2007 seasons by the MOA-II survey, with the 1.8m MOA-II telescope located at the Mt. John University Observatory, New Zealand. The centers of the 22 Galactic bulge (GB) fields of the MOA-II survey are listed in Table 1. The images were taken using the custom MOA-Red wide-band filter, which is equivalent to the sum of the standard Kron/Cousins R and I bands. Each field is divided into 80 subfields and each subfield is individually calibrated using the red clump giant (RCG) feature in each subfield CMD more precisely. The number of subfields used in the final analysis is 1536 in total and also given in Table 1 for each field. The coordinates and other properties of the subfields are listed in Table 4. The OGLE (Udalski 2003AcA....53..291U 2003AcA....53..291U) also conducts a microlensing survey toward the GB with the 1.3m Warsaw telescope at the Las Campanas Observatory in Chile. The median seeing is about 1.3 arcsec. Most observations are taken in the standard Kron-Cousin I band with occasional observations in the Johnson V band. File Summary: -------------------------------------------------------------------------------- FileName Lrecl Records Explanations -------------------------------------------------------------------------------- ReadMe 80 . This file table4.dat 145 1536 Average microlensing optical depth and event rates at the position of each subfield for the all-source sample -------------------------------------------------------------------------------- See also: J/ApJ/778/150 : Microlensing events toward the Bulge from MOA-II (Sumi+, 2013) J/A+A/549/A147 : Abundances of microlensed Bulge stars. V. (Bensby+, 2013) J/ApJ/711/L48 : 2008 OGLE Bulge microlensing alerts (Cohen+, 2010) J/A+A/454/185 : EROS-2 microlensing parameters (Hamadache+, 2006) J/ApJ/636/240 : OGLE II microlensing parameters (Sumi+, 2006) J/AcA/52/217 : OGLE II. VI photometry of Galactic Bulge (Udalski+, 2002) J/AcA/51/175 : OGLE-II DIA microlensing events (Wozniak+, 2001) J/AcA/50/1 : OGLE microlensing events in Galactic Bulge (Udalski+, 2000) http://ogle.astrouw.edu.pl/ogle4/ews/ews.html : OGLE-IV early warning system Byte-by-byte Description of file: table4.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 9 A9 --- Field The field-chip-subfield identifier 11- 18 F8.4 deg GLON Galactic longitude 20- 26 F7.4 deg GLAT Galactic latitude 28- 30 I3 --- Nsub [26/115] Number of subfields (1) 32- 39 I8 --- Nstar Number of stars in subfields (2) 41- 43 I3 --- Nev [2/118] Number of events in subsfields (2) 45- 52 F8.6 10-6 tau [0.1/8.6] Microlensing optical depth in 1e-6 (3) 54- 61 F8.6 10-6 s_tau [0.09/4.2] The 68% symmetric error in tau 63- 70 F8.6 10-6 e_tau Lower 68% error in tau 72- 79 F8.6 10-6 E_tau Upper 68% error in tau 81- 87 F7.4 10-6/yr Gamma [2/43] Event rate per star per year in 1e-6 89- 95 F7.4 10-6/yr s_Gamma [1/26] The 68% symmetric error in Gamma 97-103 F7.4 10-6/yr e_Gamma Lower 68% error in Gamma 105-111 F7.4 10-6/yr E_Gamma Upper 68% error in Gamma 113-120 F8.4 deg-2/yr Gammad [2/164] Event rate per square degree per year 122-128 F7.4 deg-2/yr s_Gammad [4/98] The 68% symmetric error in Gammad 130-137 F8.4 deg-2/yr e_Gammad Lower 68% error in Gammad 139-145 F7.4 deg-2/yr E_Gammad Upper 68% error in Gammad -------------------------------------------------------------------------------- Note (1): Used for estimating tE and ε within 1.0 degree around the subfields. Note (2): Used for estimating tau, Gamma, Gammad within 1.0 degree around the subfield Note (3): Averaged within 1.0 degree around the subfield. -------------------------------------------------------------------------------- History: From electronic version of the journal
(End) Prepared by [AAS], Emmanuelle Perret [CDS] 28-Nov-2016
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