Binary-lens Microlensing Degeneracy: Impact on Planetary Sensitivity and Mass-ratio Function

Fuente: arXiv
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Autori principali: Shang, Yuxin, Yang, Hongjing, Zhang, Jiyuan, Mao, Shude, Gould, Andrew, Zang, Weicheng, Qian, Qiyue, Yee, Jennifer C.
Natura: Preprint
Pubblicazione: 2025
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author Shang, Yuxin
Yang, Hongjing
Zhang, Jiyuan
Mao, Shude
Gould, Andrew
Zang, Weicheng
Qian, Qiyue
Yee, Jennifer C.
author_facet Shang, Yuxin
Yang, Hongjing
Zhang, Jiyuan
Mao, Shude
Gould, Andrew
Zang, Weicheng
Qian, Qiyue
Yee, Jennifer C.
contents Gravitational microlensing is a unique method for discovering cold planets across a broad mass range. Reliable statistics of the microlensing planets require accurate sensitivity estimates. However, the impact of the degeneracies in binary-lens single-source (2L1S) models that affect many actual planet detections is often omitted in sensitivity estimates, leading to potential self-inconsistency of the statistics studies. In this work, we evaluate the effect of the 2L1S degeneracies on planetary sensitivity by simulating a series of typical microlensing events and comprehensively replicating a realistic planet detection pipeline, including the anomaly identification, global 2L1S model search, and degenerate model comparison. We find that for a pure-survey statistical sample, the 2L1S degeneracies reduce the overall planetary sensitivity by $5\sim10\%$, with the effect increasing at higher planet-host mass ratios. This bias leads to an underestimation of planet occurrence rates and a flattening of the inferred mass-ratio function slope. This effect will be critical for upcoming space-based microlensing surveys like the Roman or Earth 2.0 missions, which are expected to discover $\mathcal{O}(10^3)$ planets. We also discuss the computational challenges and propose potential approaches for future applications.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16191
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Binary-lens Microlensing Degeneracy: Impact on Planetary Sensitivity and Mass-ratio Function
Shang, Yuxin
Yang, Hongjing
Zhang, Jiyuan
Mao, Shude
Gould, Andrew
Zang, Weicheng
Qian, Qiyue
Yee, Jennifer C.
Earth and Planetary Astrophysics
Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
Solar and Stellar Astrophysics
Gravitational microlensing is a unique method for discovering cold planets across a broad mass range. Reliable statistics of the microlensing planets require accurate sensitivity estimates. However, the impact of the degeneracies in binary-lens single-source (2L1S) models that affect many actual planet detections is often omitted in sensitivity estimates, leading to potential self-inconsistency of the statistics studies. In this work, we evaluate the effect of the 2L1S degeneracies on planetary sensitivity by simulating a series of typical microlensing events and comprehensively replicating a realistic planet detection pipeline, including the anomaly identification, global 2L1S model search, and degenerate model comparison. We find that for a pure-survey statistical sample, the 2L1S degeneracies reduce the overall planetary sensitivity by $5\sim10\%$, with the effect increasing at higher planet-host mass ratios. This bias leads to an underestimation of planet occurrence rates and a flattening of the inferred mass-ratio function slope. This effect will be critical for upcoming space-based microlensing surveys like the Roman or Earth 2.0 missions, which are expected to discover $\mathcal{O}(10^3)$ planets. We also discuss the computational challenges and propose potential approaches for future applications.
title Binary-lens Microlensing Degeneracy: Impact on Planetary Sensitivity and Mass-ratio Function
topic Earth and Planetary Astrophysics
Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2509.16191