# Emission Signatures from Sub-parsec Binary Supermassive Black Holes III: Comparison of Models with Observations

## TL;DR

This paper introduces a method to compare observed and modeled emission-line profiles of supermassive black hole binaries, inferring binary parameters and exploring their physical configurations, with implications for understanding binary evolution and detection.

## Contribution

The study develops a principal component analysis-based approach to infer binary parameters from emission-line profiles and assesses the physical configurations of candidate supermassive black hole binaries.

## Key findings

- Candidates favor a semi-major axis around log(a/M) ≈ 4.20
- Mass ratios q > 0.5 are preferred among candidates
- Mini-disks are equally likely to be coplanar or misaligned

## Abstract

We present a method for comparing the H$\beta$ emission-line profiles of observed supermassive black hole (SBHB) candidates and models of sub-parsec SBHBs in circumbinary disks. Using the approach based on principal component analysis we infer the values of the binary parameters for the spectroscopic SBHB candidates and evaluate the parameter degeneracies, representative of the uncertainties intrinsic to such measurements. We find that as a population, the SBHB candidates favor the average value of the semimajor axis corresponding to $\log(a/M) \approx 4.20\pm 0.42$ and comparable mass ratios, $q>0.5$. If the SBHB candidates considered are true binaries, this result would suggest that there is a physical process that allows initially unequal mass systems to evolve toward comparable mass ratios (e.g., accretion that occurs preferentially onto the smaller of the black holes) or point to some, yet unspecified, selection bias. Our method also indicates that the SBHB candidates equally favor configurations in which the mini-disks are coplanar or misaligned with the binary orbital plane. If confirmed for true SBHBs, this finding would indicate the presence of a physical mechanism that maintains misalignment of the mini-disks down to sub-parsec binary separations (e.g., precession driven by gravitational torques). The probability distributions of the SBHB parameters inferred for the observed SBHB candidates and our control group of AGNs are statistically indistinguishable, implying that this method can in principle be used to interpret the observed emission-line profiles once a sample of confirmed SBHBs is available but cannot be used as a conclusive test of binarity.