To obtain accurate mass measurements for cold planets discovered by microlensing, it is usually necessary to combine light curve modeling with at least two lens mass-distance relations. The physical parameters of the planetary system OGLE-2014-BLG-0124L have been constrained thanks to accurate parallax effect between ground-based and simultaneous space-based Spitzer observations. Here, we resolved the source+lens star from sub-arcsecond blends in H-band using adaptive optics (AO) observations with NIRC2 mounted on Keck II telescope. We identify additional flux, coincident with the source to within 160 mas. We estimate the potential contributions to this blended light (chance-aligned star, additional companion to the lens or to the source) and find that 85% of the NIR flux is due to the lens star at H L =16.63±0.06 and K L =16.44±0.06. We combined the parallax constraint and the AO constraint to derive the physical parameters of the system. The lensing system is composed of a mid-late type G main sequence star of M L =0.9±0.05M e located at D L =3.5±0.2kpc in the Galactic disk. Taking the mass ratio and projected separation from the original study leads to a planet of M p =0.65±0.044M Jupiter at 3.48±0.22au. Excellent parallax measurements from simultaneous ground-space observations have been obtained on the microlensing event OGLE-2014-BLG-0124, but it is only when they are combined with ∼30 minutes of Keck II AO observations that the physical parameters of the host star are well measured.Key words: gravitational lensing: micro -planetary systems -planets and satellites: detection
Mass-Distance Relations for MicrolensingGravitational microlensing is unique in its sensitivity to exoplanets down to Earth mass beyond the snow line (Mao & Paczynski 1991;Gould & Loeb 1992), where the core accretion theory predicts that the most massive planets will form. However, the major limitation of most of the 51 exoplanetary microlensing analyses published to date has been the relatively low precision measurements of physical parameters of the system, owing to uncertainty of the host star mass and its distance. By contrast, the relative physical parameters (mass ratio, projected separation relative to the angular Einstein ring radius) are usually known with high precision. In the vast majority of microlensing events, the Einstein ring radius crossing time t E is the only measurable parameter constraining the lens mass, lens distance, and relative lens-source proper motion μ rel , which are therefore degenerate. For binary microlensing events, it is possible to accurately measure the mass ratio q and the projected separation d in units of Einstein ring radius. The source star often transits the caustic, providing the source radius crossing time t * . Moreover, the angular radius of the source star θ * can be estimated from the surface brightness relation (Kervella et al. 2004;Boyajian et al. 2013Boyajian et al. , 2014, so the measurement of t * yields the angular Einstein radius, Θ E =θ * t E...