Kavli Affiliate: Claudio Ricci
| Summary:
The origin of high-energy astrophysical neutrinos remains a key open question in multimessenger astrophysics. A correlation between unabsorbed hard X-ray emission and high-energy neutrino luminosity has been reported in a sample of six active galactic nuclei with the highest individual IceCube significances, linking neutrino production to compact, photon-rich environments near supermassive black holes. In this work we study whether the threshold-near IceCube excesses associated with seven NuSTAR-observed blazars are statistically consistent with that established relation. Calibrating the relation between the neutrino and hard X-ray luminosities as $log L_ν= α+ βlog L_mathrmhX + mathcalN(0, σ_rm int^2)$ on the six published sources via a Bayesian regression with errors on both axes, the recovered slope is consistent with $β= 1$, and the intrinsic scatter is $sim 0.6$,dex. All seven new blazars are posterior-predictively consistent with this calibration ($χ^2_7 = 1.58$, $p = 0.98$) under the working hypothesis that the published IceCube best-fit neutrino numbers $hatn_s$ values reflect the signal. A null-injection test confirms that, given the present calibration sample size, the consistency test does not by itself adjudicate between signal and selected-background origins. A distance-free $L_mathrmhX/L_ν$ ratio diagnostic places both populations within the photohadronic prediction band, statistically indistinguishable. A flux-space permutation test on the 13-source joint sample, with construction-controlled $d_L^,2$ distance bias, rejects random pairing $L_mathrmhX$–$L_ν$ with $p = 6.3 times 10^-4$ ($3.23,σ$). We interpret these results as a conditional consistency check; a detection-level statement requires either an enlarged calibration set or an X-ray-weighted IceCube stacking likelihood with internal data.
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