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We study the source-subtracted near-infrared and X-ray backgroundfluctuations of the COSMOS field using data from the Spitzer SPLASH program($\sim$1272 hours) and Chandra COSMOS Legacy Survey (4.6 Ms). The new autopower spectra of the cosmic infrared and X-ray background fluctuations reachmaximum angular scales of $\sim$ 3000$''$ and $\sim$ 5000$''$, respectively. Wemeasure the cross power spectra between each infrared and X-ray band andcalculate the mean power above 20$''$. We find that the soft X-ray band iscorrelated with 3.6 and 4.5$\mu$m at $\sim$ 4 $\sigma$ significance level. Thesignificance between hard X-ray and the 3.6$\mu$m (4.5$\mu$m) band is $\sim$2.2$\sigma$ ($\sim$3.8$\sigma$). The combined infrared (3.6 + 4.5$\mu$m) data arecorrelated with the X-ray data in soft ([0.5-2] keV), hard ([2-7] keV) andbroad ([0.5-7] keV) bands at $\sim$5.6$\sigma$, $\sim$4.4$\sigma$ and$\sim$6.6$\sigma$ level, respectively. We compare the new measurements withexisting models for the contributions from known populations at $z$$<$7, whichare not subtracted. The model predictions are consistent with the measurementsbut we cannot rule out contributions from other components, such as DirectCollapse Black Holes (DCBH). However, the stacked cross-power spectra,combining other available data, show excess fluctuations about an order ofmagnitude on average at $\sim$4$\sigma$ confidence at scales within$\sim$300$''$. By studying the X-ray SED of the cross-power signal, assuming nosignificant variation from the infrared, we find that its shape is consistentwith DCBHs.

The SPLASH and Chandra COSMOS Legacy Survey: the Cross Power Between Near-Infrared and X-Ray Background Fluctuations