Interactive companion to Paper F. Interpolates the paper's shipped exclusion-fraction curves - the fraction of the paper's fixed-seed Monte Carlo ambient-density/temperature draws that a given IMBH mass would have been excluded under, for each accretion-family assumption (RIAF, jet, RIAF-with-no-radio-leg) - against the JWST/X-ray/radio non-detection.
Interpolation of shipped output, not a live re-run
Every value here is a log-log interpolation of Paper F's v0.3 fixed-seed Monte Carlo grid (N=40,000, seed=42) - no physics is recomputed in the browser. The result depends materially on the assumed ambient electron density n_e prior; Paper F states this dependence is roughly a factor of ~6 across the priors it considered. Treat exact epsilon_95 values as grid-interpolated, not independently derived. Full method and caveats: Paper F, full text · PDF.
Parameters
8,200 M☉
Log-mass slider, 1,000–100,000 M☉ (the paper's shipped grid range).
Exclusion-fraction curve
M_BH (M☉, log scale, 10³–10⁵) - cursor marks the current mass
Readout
epsilon_95 (interpolated)
n/a
Natural-flow exclusion fraction
n/a
Position vs. 50% crossing
n/a
Position vs. 90% crossing
n/a
What this tool does
Paper F ran a fixed-seed Monte Carlo (N=40,000, seed=42) over ambient electron density n_e, sound speed c_s, and density-slope priors for three accretion-family assumptions (RIAF, jet, RIAF-with-no-radio-leg), and recorded, for a grid of 40 IMBH masses from 1,000 to 100,000 M☉, what fraction of MC draws the joint X-ray/IR/radio non-detection would have excluded. This tool log-log interpolates that shipped grid (fF_expand_exclcurve.json, fF_v3_results.json) for an arbitrary mass on a slider - it does not re-run the Monte Carlo.
epsilon_95
epsilon_95 is the 95th-percentile radiative-efficiency threshold from the paper's grid at each mass and family - read directly off the shipped eps95_* arrays, log-log interpolated in mass. Lower epsilon_95 at a given mass means the non-detection excludes that mass more easily under the assumed accretion physics.
Crossings
M50 and M90 are the masses at which the exclusion-fraction curve crosses 50% and 90%, taken directly from the paper's shipped crossings block (no re-solving). RIAF-no-radio-leg does not reach a 90% crossing within the paper's mass grid.
Caveats (Paper F)
The n_e prior dominates the result: Paper F reports roughly a factor of ~6 spread in epsilon_95 across the n_e priors it tested.
The Bañares-Hernández et al. 2025 3σ upper limit (6,000 M☉) is a pulsar-timing bound, not derived from this accretion analysis - shown here only as a slider preset for comparison.
Distance references: D_REF_X = 5.2 kpc (X-ray), D_REF_IR ≈ 5.49 kpc (IR); dispersion values elsewhere on this site use the tools' 18.2 km/s convention while Paper F and this companion inherit the paper's own fiducials - see the paper page for the exact provenance of each number quoted here.