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Simultaneous radio, optical and X-ray monitoring of hard X-ray selected AGN: a variability study

T0 review · 5 major / 5 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read This paper claims that variability-induced shifts account for only ~2% of the Fundamental Plane's scatter in a sample of 14 AGN, even though 86% of them vary significantly across radio, optical and X-ray.

desk verdict Solid observational campaign with a useful new variability census; the radio-stability conclusion is sample-dependent and the FP scatter estimate is softer than the abstract suggests. read the letter →

arxiv 2607.16423 v1 pith:GRHXWAT2 submitted 2026-07-17 astro-ph.HE astro-ph.GA

L. Hernández-García , F. Panessa , D. Williams-Baldwin , P. Arévalo , A. M. Muñoz Arancibia This is my paper · ORCID
classification astro-ph.HEastro-ph.GA
keywords activegalacticnucleiAGNvariabilityFundamentalPlaneofblackholeactivityradioloudnessaccretion-ejectioncouplingrednoisemulti-wavelengthmonitoringX-raycorona
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish how and where AGN variability arises by tracking 14 hard X-ray selected AGN for two years at 15 GHz, in the optical g and r bands, and in X-rays, all at roughly the same times. It finds that 86% of the sources vary significantly, with a clean amplitude hierarchy — X-rays wiggle most (median ~30%), then optical g (~19%), then radio and optical r (~10% and ~8.5%) — and that the power grows from 70-day to 200-day timescales, a classic red-noise signature. The load-bearing result concerns the Fundamental Plane of black hole activity: although individual sources wander along the relation, the variability-induced dispersion (0.118 dex) amounts to only ~2% of the plane's total scatter. If true, this means that using archival, non-simultaneous radio and X-ray data to build the plane does not materially inflate its scatter, and that the compact 15 GHz core is a stable feature — likely a jet base or magnetized corona — rather than an incidental extended structure.

What carries the argument

The central machinery is the multi-band light-curve analysis, specifically the normalized excess variance and fractional rms amplitude (F_var) as intrinsic variability estimators, and the Mexican Hat filter — a time-domain wavelet filter that isolates the variance at selected timescales (here 70 and 200 days) without red-noise leakage. The argument that variability barely affects the Fundamental Plane rests on the variance-propagation formula S_var = sqrt((ξ σ_X)^2 + σ_R^2), where σ_X and σ_R are the X-ray and radio fractional variability amplitudes and ξ is the X-ray slope of the plane, here fixed at 0.6, the classical value. This formula converts the observed per-band flicker into an expec

What would settle it

Measure the joint X-ray-radio covariance on the same epochs; if the covariance term is substantial or using a flatter plane slope (0.38) raises the variability contribution above ~10%, the claim that variability contributes only ~2% fails.

Watch

Extended reading notes

Core claim

Across a sample of 14 hard X-ray selected AGN monitored quasi-simultaneously in the radio (15 GHz), optical (g and r), and X-ray (2-10 keV) bands over 2018-2020, significant intrinsic variability is detected in 86% of the sample. The fractional rms amplitude is stratified by band: X-ray ~30% (range 11-67%), optical g ~19% (2-33%), optical r ~8.5% (0.2-24%), and radio ~10% (4-23%). The Mexican Hat wavelet filter shows variance increasing from the 70-day to the 200-day scale in all bands, indicating red-noise, long-term-dominated power spectra. Placing the sources on the Fundamental Plane of black hole activity (radio luminosity vs. X-ray luminosity and black hole mass) shows the sample follow

Load-bearing premise

The estimate that variability adds only about 2% of the plane's scatter assumes the X-ray and radio signals flicker independently and obey a particular scaling slope; if they flicker together, or the true slope is flatter, the contribution could be much larger.

Editorial extensions

If this is right

  • If the ~2-3% variability contribution is general, non-simultaneous archival radio and X-ray measurements can be combined to build the Fundamental Plane without a major scatter penalty, extending its use to larger samples.
  • The amplitude hierarchy (X-ray > optical g > radio and optical r) and its red-noise character imply physically distinct emission regions: a compact X-ray corona, an extended accretion disk smoothing optical fluctuations, and a stable compact radio core.
  • The stability of the 15 GHz core over a two-year baseline supports models where radio emission in radio-quiet AGN comes from a jet base or corona rather than large-scale outflows or star-forming regions.
  • The diversity in variability patterns — correlated multi-band flicker in some sources, decoupled radio or X-ray in others — suggests that AGN occupy a range of corona-jet coupling strengths, and that radio-loudness alone is not sufficient to predict that coupling.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the 2% estimate holds up, it implies the Fundamental Plane's ~0.8-dex scatter is dominated by intrinsic physical differences (e.g., black hole spin, magnetic field topology, accretion state), not by measurement timing — a conclusion that would refocus theoretical work on explaining that intrinsic spread.
  • A sharper test would be to compute the joint radio-X-ray covariance at each epoch; the current analysis treats the bands as independent, so any correlated behavior would change the variance budget. If correlated fluctuations are present, the variability contribution could be higher than reported, and the plane might not be as robust as claimed.
  • Applied to larger samples with denser cadence, this variance-decomposition method could identify which sources are genuinely off-plane because of state changes, versus those that are simply flickering, turning the plane into a tool for classifying accretion-ejection states.
  • Since the Mexican Hat shows red noise with power still rising at 200 days, longer monitoring campaigns should reveal even larger long-timescale excursions; if those excursions are correlated across bands, the 2% figure may be a lower bound for the variability contribution.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 5 minor

Summary. The paper presents a two-year multi-wavelength monitoring campaign of 14 hard X-ray selected AGN drawn from the INTEGRAL/IBIS catalog, using AMI-LA at 15 GHz, ZTF g/r photometry, and Swift/XRT. Variability is quantified with normalized excess variance, fractional rms amplitude, and Mexican Hat variances at 70 and 200 days. The authors report significant variability in 86% of the sample, an amplitude hierarchy (X-ray ~30%, optical g ~19%, optical r ~8.5%, radio ~10%), a red-noise power spectrum, and a Fundamental Plane (FP) analysis in which variability-induced dispersion accounts for only ~2–3% of the total FP scatter. They conclude that the 15 GHz emission is core-dominated and that non-simultaneity is not a dominant source of FP scatter.

Significance. If the results hold, this is a useful multi-band variability census of hard-X-ray-selected AGN, with the notable strength of quasi-simultaneous radio, optical, and X-ray coverage over a two-year baseline. The paper is transparent about the red-noise limitation in §4 and performs a careful RISS check in §6.2. However, the central claims — the radio-stability hierarchy and the small FP variability contribution — are currently weakened by sample-selection choices and by the FP propagation calculation. The dataset and methodology are valuable, and the stated caveats show good faith, but the headline numbers need revision or more careful qualification before the conclusions can be accepted.

major comments (5)
  1. [§2; Table 2; §7 item 1] The sample selection excludes BL Lacs, blazars, QSOs, and sources with previous radio monitoring or 15 GHz upper limits. These exclusions preferentially remove the most radio-variable AGN classes and known radio variables. The reported radio detection fraction (43% in the text, but 5/14 in Table 2) and the conclusion that 15 GHz emission is stable and core-dominated are therefore lower limits conditioned on censoring the most variable sources. Please quantify the impact of the excluded objects or explicitly restrict the conclusion to the selected sample.
  2. [§5.4; Eq. (1)] The variability-induced FP dispersion is computed as S_var = sqrt((ξ σ_X)^2 + σ_R^2) with ξ=0.6 taken from Merloni et al. (2003), the very relation being tested. For a mostly radio-quiet sample, the Bariuan et al. (2022) RQ slope (ξ=0.38) may be more appropriate; moreover, the radio and X-ray fluctuations are treated as independent, but no per-epoch covariance is reported. The conclusion that variability contributes only ~2–3% of the FP scatter depends directly on these choices. Please provide a sensitivity analysis and report the covariance or justify the independence assumption.
  3. [§4; §5.1] The paper states that the additional scatter from red-noise stochasticity 'cannot be formally quantified' without simulations, yet §5.1 adopts a 3σ threshold on S = σ^2_NXS/σ^2_NXS,err and bases the 86% detection rate and the amplitude hierarchy on these thresholds. For red-noise light curves, the measurement-noise-only error understates the true uncertainty, so the detection significance is likely overestimated. The headline detection fraction should either be accompanied by simulation-based significance estimates or explicitly labeled as provisional modulo red-noise uncertainty.
  4. [Table 2; §7 item 1] There is an internal inconsistency in the radio variability count. Table 2 shows Y in the radio column for 5 sources (QSO B0241+62, LEDA 168563, MCG+08-11-11, NGC 4388, NGC 5252), while §7 states '6 (43%) in the radio.' The Table 2 Var. string format is also ambiguous (e.g., 'N - N - Y'). Please correct the count and clarify the column layout.
  5. [Appendix B; Table B.1] The ZTF variability threshold R≥3 is calibrated using NGC 4388 and IGR J23308+7120 as empirical noise baselines, and the same sources are then classified as non-variable in the optical. This circularity guarantees their optical non-variability and propagates into the statement that these two objects show no variability in any band. An independent noise sample (e.g., stars or non-varying sources in the field) or simulations should be used to set the threshold.
minor comments (5)
  1. [Abstract; §5.4] The abstract and conclusions quote '~3%' for the variability-induced FP dispersion, while §5.4 states 2.16%; unify the numbers.
  2. [Table 2] The header 'Var.' is described as 'ot' in the printed line; fix the typo.
  3. [§4; §5.3] The symbol R is used both for the ZTF variability ratio (Appendix B) and for the radio-loudness parameters R_opt and R_X; rename one to avoid confusion.
  4. [§5.1; Appendix B] The text says Mkn 3 'had no useful optical data' but Appendix B explains it was excluded because of error underestimation; please align these descriptions.
  5. [Fig. 3] The radio data points have very large uncertainties; consider using weighted means or a separate panel to show the trend more clearly.

Circularity Check

2 steps flagged · score 4.0 of 10

Central variability hierarchy is measured directly, but the ZTF noise-floor calibration and the FP variability-dispersion estimate each import their own conclusions as inputs.

  1. fitted input called prediction [Appendix B / Table B.1 / Section 5.1]
    "“The selection of thresholds for R was calibrated using the Seyfert 2 objects in the sample (NGC 4388 and IGR J23308+7120) to serve as empirical ‘noise baselines’; their lack of optical variability allows us to map the distribution of R values produced by pure photometric noise.” ... “Non-Variable (R<2): The dispersion is fully consistent with the noise floor defined by the Seyfert 2 sources.”"

    The R<2 threshold is defined using exactly NGC 4388 and IGR J23308+7120 as the noise floor, and those same two sources are then reported as non-variable in Table B.1. IGR J23308+7120 has R_r=1.96, just below the calibrated cutoff, and is later included in the claim that only two sources showed no significant variability across the monitored period. Its non-variability is therefore an input to the calibration rather than an independent measurement; if a slightly different threshold had been chosen, the reported 86% (12/14) variability fraction would change by one source.

  2. other [Section 5.4, Fundamental Plane]
    "“We defined the variability-induced dispersion as S_var = sqrt((ξ σ_X)^2 + σ_R^2), where ξ=0.6 is the scaling coefficient from Merloni et al. (2003).” ... “Our results indicate that the Merloni et al. (2003) relation provides the most accurate description of our sample.”"

    The estimate that variability-induced dispersion accounts for only ~2-3% of the Fundamental Plane scatter is computed using ξ=0.6, the X-ray slope of the very Merloni et al. relation under test. The conclusion that non-simultaneity is not a dominant source of scatter therefore assumes the slope of the plane it is meant to validate. With the Bariuan et al. RQ slope ξ=0.38 quoted later in the same section, the relative weighting of X-ray versus radio fluctuations and the resulting variance fraction would change. This is not a strict identity, but the quantitative FP-scatter conclusion is not independent of the relation being evaluated.

full rationale

The paper's central variability results are direct measurements from the light curves: F_var, excess variance, chi-squared statistics, and Mexican Hat variances are computed epoch-by-epoch without fitting the conclusions to the same data. The amplitude hierarchy (X-ray ~30%, optical g ~19%, optical r ~8.5%, radio ~10%) and the red-noise signature therefore stand on independent observational ground. The two circularity concerns are local rather than pervasive. First, the ZTF variability classification calibrates its R<2 'non-variable' threshold using two Seyfert 2 sources in the sample and then reports those same sources as non-variable; this is a fitted-input-called-prediction for those objects, though it does not invalidate the directly measured variability of the other sources. Second, the Fundamental Plane variability-dispersion calculation imports ξ=0.6 from the Merloni relation it is testing, so the '~2-3% of the scatter' figure is partially assumption-dependent; this is a sensitivity estimate rather than a derivation from first principles. The sample-selection exclusion of previously radio-monitored sources, blazars, and QSOs is a legitimate selection-effect concern but is not circularity: it biases the radio variability statistics without making the measured radio amplitudes equal to the model inputs. No load-bearing self-citation chain or uniqueness argument is used, and the paper does not rename a known result as a new prediction. Overall score 4 reflects the partial circularity in the ZTF noise-floor calibration and the FP slope assumption, while the main variability hierarchy remains independently measured.

Assumptions & free parameters 3 free parameters · 6 assumptions · 0 invented entities

The central claims rest on standard AGN emission assumptions, literature FP calibrations, and a handful of adopted parameters. No new entities are introduced. The most consequential choices are the Merloni xi=0.6 used in the variability-dispersion estimate and the sample-calibrated ZTF variability threshold.

free parameters (3)
  • ZTF variability classification threshold R = R=3 (significant), 2<=R<3 (doubtful)
    Calibrated using the two Seyfert 2 sources in the sample (NGC 4388 and IGR J23308+7120) as empirical noise baselines, then applied to classify the same sources.
  • FP variability propagation slope xi = 0.6
    Taken from Merloni et al. (2003) and used in S_var = sqrt((xi*sigma_X)^2 + sigma_R^2) to estimate variability-induced dispersion; this is the same relation whose scatter is being evaluated.
  • Bolometric correction kappa_2-10keV = 20
    Adopted from literature to estimate L_bol and lambda_Edd; affects secondary correlation analysis, not the central variability claims.
assumptions (6)
  • domain assumption AGN optical emission arises from the accretion disk and X-ray from inverse-Compton corona.
    Used throughout to interpret the variability hierarchy; standard AGN paradigm, not proven here.
  • domain assumption 15 GHz flux density with flat spectra (alpha ~ 0) is a proxy for 5 GHz core emission when applying radio-loudness thresholds and Merloni FP.
    Section 5.3; the classical R_opt criterion calibrated at 5 GHz is applied at 15 GHz assuming a flat-spectrum compact core; the authors note steep-spectrum sources give lower limits.
  • domain assumption Refractive interstellar scintillation at 15 GHz has characteristic timescale t_r ~ 2(nu0/nu)^{11/5} hours (Walker 1998) and cannot produce month-long coherent trends.
    Section 6.2; used to conclude that observed radio variability is intrinsic. Depends on NE2001 transition frequencies.
  • domain assumption The Merloni et al. (2003) fundamental plane scaling coefficients are the correct projection for this sample.
    Section 5.4; residuals and variability-induced dispersion are measured relative to this calibration; alternative Bariuan et al. (2022) calibrations give large offsets.
  • domain assumption The hard-X-ray-selected parent sample is relatively unbiased by obscuration and the 14-source subset remains representative.
    Section 2; the sample is drawn from a volume-limited hard-X-ray catalog, but the final 14 exclude previously monitored and upper-limit-only sources.
  • domain assumption ZTF forced photometry recovers the nuclear flux without significant host-galaxy dilution after cleaning.
    Sections 3.3 and 4; variability amplitudes are interpreted as nuclear, but the authors state no host decomposition was applied and note r-band may be host-dominated for some sources.

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Cite this review

Pith. "Pith review of Simultaneous radio, optical and X-ray monitoring of hard X-ray selected AGN: a variability study." pith.science (2026). https://pith.science/paper/GRHXWAT2

@misc{pith2026260716423,
  author       = {Pith},
  title        = {Pith review of: Simultaneous radio, optical and X-ray monitoring of hard X-ray selected AGN: a variability study},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/GRHXWAT2}},
  note         = {Machine review of arXiv:2607.16423}
}
read the original abstract

AGN emission is intrinsically variable across the electromagnetic spectrum. Mapping the coupling between the accretion disk, the X-ray corona, and ejection flows is key to understanding the energy flow within the central engine. We characterize the multi-wavelength variability of 14 hard X-ray selected AGN from the INTEGRAL/IBIS catalog in the radio, optical, and X-ray bands, to determine the coupling between these frequencies and how variability relates to the physical properties of the central engine, with emphasis on the radio band. We analyzed multi-epoch observations from AMI-LA at 15 GHz, ZTF in the g and r bands, and Swift/XRT over 2018--2020. Variability was quantified using the normalized excess variance, the fractional variability amplitude, and the Mexican Hat filter at 70- and 200-day timescales. We also characterized the radio-loudness of the sample and evaluated the impact of variability on the Fundamental Plane of black hole activity by comparing time-averaged with strictly simultaneous data. Significant variability is detected in 86% of the sample, with a clear amplitude stratification: the fractional rms amplitude is highest in X-rays, with a median of 30% (11-67%), followed by the optical g and r bands at 19% (2-33%) and 8.5% (0.2-24%), and the radio band at 10% (4-23%). The Mexican Hat analysis reveals a red-noise power spectrum dominated by long-term fluctuations. The sample follows the expected Fundamental Plane scaling; although individual sources shift within the relation due to stochastic fluctuations, this dispersion accounts for only ~3% of the total scatter. Our findings support a core-dominated origin for the 15 GHz emission, likely a compact jet base or a magnetized corona, while differences in variability patterns, radio-loudness, and Fundamental Plane location point toward distinct accretion/ejection processes and degrees of corona-jet coupling.

Figures

Figures reproduced from arXiv: 2607.16423 by the authors.

Figure 1
Figure 1. Distribution of the main physical properties for the 14 AGN in our sample. The panels show: (a) redshift ( [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Distributions of variability features for the AGN sample across di [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Comparison of the Mexican Hat wavelet variance at two [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: Comparison between optical, Ropt, and X-ray, RX, radio￾loudness parameters for the sources in the sample. The vertical dashed line at log Ropt = 1 marks the conventional boundary be￾tween RL and RQ sources in the optical definition, whereas the horizontal dashed line a…
Figure 5
Figure 5. Figure 5: Fundamental Plane of black hole activity for the AGN sample. Left: comparison with Merloni et al. (2003) scaling. Right: [PITH_FULL_IMAGE:figures/full_fig_p010_5.png]

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