Abstract The current studies of microlensing planets are limited by small number statistics. Follow-up observations of high-magnification microlensing events can efficiently form a statistical planetary sample. Since 2020, the Korea Microlensing Telescope Network (KMTNet) and the Las Cumbres Observatory (LCO) global network have been conducting a follow-up program for high-magnification KMTNet events. Here, we report the detection and analysis of a microlensing planetary event, KMT-2023-BLG-1431, for which the subtle (0.05 mag) and short-lived (5 hr) planetary signature was characterized by the follow-up from KMTNet and LCO. A binary-lens single-source (2L1S) analysis reveals a planet/host mass ratio ofq= (0.72 ± 0.07) × 10−4, and the single-lens binary-source (1L2S) model is excluded by Δχ2= 80. A Bayesian analysis using a Galactic model yields estimates of the host star mass of , the planetary mass of , and the lens distance of kpc. The projected planet-host separation of au or au, subject to the close/wide degeneracy. We also find that without the follow-up data, the survey-only data cannot break the degeneracy of central/resonant caustics and the degeneracy of 2L1S/1L2S models, showing the importance of follow-up observations for current microlensing surveys.
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A Mathematical Treatment of the Offset Microlensing Degeneracy
Abstract The offset microlensing degeneracy, recently proposed by Zhang et al., has been shown to generalize the close–wide and inner–outercausticdegeneracies into a unified regime ofmagnificationdegeneracy in the interpretation of two-body planetary microlensing observations. While the inner–outer degeneracy expects the source trajectory to pass equidistant to the planetary caustics of the degenerate lens configurations, the offset degeneracy states that the same mathematical expression applies to any combination of the close, wide, and resonant caustic topologies, where the projected star–planet separations differ by an offset (sA≠sB) that depends on where the source trajectory crosses the lens axis. An important implication is that thesA= 1/sBsolution of the close–wide degeneracy never strictly manifests in observations except when the source crosses a singular point near the primary. Nevertheless, the offset degeneracy was proposed upon numerical calculations, and no theoretical justification was given. Here, we provide a theoretical treatment of the offset degeneracy, which demonstrates its nature as a mathematical degeneracy. From first principles, we show that the offset degeneracy formalism is exact to zeroth order in the mass ratio (q) for two cases: when the source crosses the lens axis inside of caustics, and for when crossing outside of caustics. The extent to which the offset degeneracy persists in oblique source trajectories is explored numerically. Finally, it is shown that the superposition principle allows for a straightforward generalization toN-body microlenses withN− 1 planetary lens components (q≪ 1), which results in a 2N−1-fold degeneracy.
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- Award ID(s):
- 2206744
- PAR ID:
- 10546847
- Publisher / Repository:
- AAS Journals
- Date Published:
- Journal Name:
- The Astrophysical Journal Letters
- Volume:
- 936
- Issue:
- 2
- ISSN:
- 2041-8205
- Page Range / eLocation ID:
- L22
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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