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KMT-2019-BLG-0371 and the Limits of Bayesian Analysis

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 Added by Yun Hak Kim
 Publication date 2021
  fields Physics
and research's language is English




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We show that the perturbation at the peak of the light curve of microlensing event KMT-2019-BLG-0371 is explained by a model with a mass ratio between the host star and planet of $q sim 0.08$. Due to the short event duration ($t_{rm E} sim 6.5 $ days), the secondary object in this system could potentially be a massive giant planet. A Bayesian analysis shows that the system most likely consists of a host star with a mass $M_{rm h} = 0.09^{+0.14}_{-0.05}M_{odot}$ and a massive giant planet with a mass $M_{rm p} = 7.70^{+11.34}_{-3.90}M_{rm Jup}$. However, the interpretation of the secondary as a planet (i.e., as having $M_{rm p} < 13 M_{rm Jup}$) rests entirely on the Bayesian analysis. Motivated by this event, we conduct an investigation to determine which constraints meaningfully affect Bayesian analyses for microlensing events. We find that the masses inferred from such a Bayesian analysis are determined almost entirely by the measured value of $theta_{rm E}$ and are relatively insensitive to other factors such as the direction of the event $(ell, b)$, the lens-source relative proper motion $mu_{rm rel}$, or the specific Galactic model prior.



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We investigate the gravitational microlensing event KMT-2019-BLG-1715, of which light curve shows two short-term anomalies from a caustic-crossing binary-lensing light curve: one with a large deviation and the other with a small deviation. We identify five pairs of solutions, in which the anomalies are explained by adding an extra lens or source component in addition to the base binary-lens model. We resolve the degeneracies by applying a method, in which the measured flux ratio between the first and second source stars is compared with the flux ratio deduced from the ratio of the source radii. Applying this method leaves a single pair of viable solutions, in both of which the major anomaly is generated by a planetary-mass third body of the lens, and the minor anomaly is generated by a faint second source. A Bayesian analysis indicates that the lens comprises three masses: a planet-mass object with $sim 2.6~M_{rm J}$ and binary stars of K and M dwarfs lying in the galactic disk. We point out the possibility that the lens is the blend, and this can be verified by conducting high-resolution followup imaging for the resolution of the lens from the source.
We present the analysis of a very high-magnification ($Asim 900$) microlensing event KMT-2019-BLG-1953. A single-lens single-source (1L1S) model appears to approximately delineate the observed light curve, but the residuals from the model exhibit small but obvious deviations in the peak region. A binary lens (2L1S) model with a mass ratio $qsim 2times 10^{-3}$ improves the fits by $Deltachi^2=181.8$, indicating that the lens possesses a planetary companion. From additional modeling by introducing an extra planetary lens component (3L1S model) and an extra source companion (2L2S model), it is found that the residuals from the 2L1S model further diminish, but claiming these interpretations is difficult due to the weak signals with $Deltachi^2=16.0$ and $13.5$ for the 3L1S and 2L2L models, respectively. From a Bayesian analysis, we estimate that the host of the planets has a mass of $M_{rm host}=0.31^{+0.37}_{-0.17}~M_odot$ and that the planetary system is located at a distance of $D_{rm L}=7.04^{+1.10}_{-1.33}~{rm kpc}$ toward the Galactic center. The mass of the securely detected planet is $M_{rm p}=0.64^{+0.76}_{-0.35}~M_{rm J}$. The signal of the potential second planet could have been confirmed if the peak of the light curve had been more densely observed by followup observations, and thus the event illustrates the need for intensive followup observations for very high-magnification events even in the current generation of high-cadence surveys.
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