A Library of Synthetic X-ray Spectra for Fitting Tidal Disruption Events

TL;DR

This paper introduces a synthetic X-ray spectral library based on slim disk models for fitting tidal disruption events, enabling efficient parameter estimation of black hole properties from observational data.

Contribution

We developed a tabulated spectral library from relativistic slim disk models to improve fitting efficiency and accuracy for TDE X-ray spectra, including gravitational effects self-consistently.

Findings

Successful fitting of observed TDE spectra with the library.

Spectral constraints on black hole mass and spin improve with hotter disks and multiple epochs.

Parameter degeneracies can be partially broken using multi-epoch data and absorption modeling.

Abstract

We present a tabulated version of our slim disk model for fitting tidal disruption events (TDEs). We create a synthetic X-ray spectral library by ray-tracing stationary general relativistic slim disks and including gravitational redshift, Doppler, and lensing effects self-consistently. We introduce the library to reduce computational expense and increase access for fitting future events. Fitting requires interpolation between the library spectra; the interpolation error in the synthetic flux is generally $<10\%$ (it can rise to $40\%$ when the disk is nearly edge-on). We fit the X-ray spectra of the TDEs ASASSN-14li and ASASSN-15oi, successfully reproducing our earlier constraints on black hole mass $M_\bullet$ and spin $a_\bullet$ from full on-the-fly ray-tracing. We use the library to fit mock observational data to explore the degeneracies among parameters, finding that 1) hotter thermal disk and edge-on inclination angle spectra offer tighter constraints on $M_\bullet$ and $a_\bullet$; 2) the constraining power of spectra on $M_\bullet$ and $a_\bullet$ increases as a power-law with the number of X-ray counts, and the index of the power law is higher for hotter thermal disk spectra; 3) multi-epoch X-ray spectra partially break the degeneracy between $M_\bullet$ and $a_\bullet$; 4) the time-dependent level of X-ray absorption can be constrained from spectral fitting. The tabulated model and slim disk model are {\href{https://doi.org/10.25739/hfhz-xn60}{here.}