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We detect the diffuse thermal Sunyaev-Zeldovich (tSZ) effect from the gasfilaments between the Luminous Red Galaxy (LRG) pairs using a new approachrelying on stacking the individual frequency maps. We apply and demonstrate ourmethod on ~88000 LRG pairs in the SDSS DR12 catalogue selected with an improvedselection criterion that ensures minimal contamination by the Galactic COemission as well as the tSZ signal from the clusters of galaxies. We firststack the Planck channel maps and then perform the Internal Linear Combinationmethod to extract the diffuse $y_{\rm sz}$ signal. Our $Stack$ $First$ approachmakes the component separation a lot easier as the stacking greatly suppressesthe noise and CMB contributions while the dust foreground becomes homogeneousin spectral-domain across the stacked patch. Thus one component, the CMB, isremoved while the rest of the foregrounds are made simpler even beforecomponent separation algorithm is applied. We obtain the WHIM signal of $y_{\rmwhim}=(3.78\pm 0.37)\times 10^{-8}$ in the gas filaments, accounting for theelectron overdensity of $\sim 13$. We estimate the detection significance to be$\gtrsim 10.2\sigma$. This excess $y_{\rm sz}$ signal is tracing the warm-hotintergalactic medium and it could account for most of the missing baryons ofthe Universe. We show that the $Stack$ $First$ approach is more robust tosystematics and produces a cleaner signal compared to the methods relying onstacking the $y$-maps to detect weak tSZ signal currently being used by thecosmology community.

Detection of WHIM in the Planck data using Stack First approach