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We cross-correlate foreground cleaned Planck Nominal Cosmic MicrowaveBackground (CMB) maps with two templates constructed from the Two-MicronAll-Sky Redshift Survey of galaxies. The first template traces the large-scalefilamentary distribution characteristic of the Warm-Hot Intergalactic Medium(WHIM) out to ~90 Mpc/h. The second traces preferentially the virialized gas inunresolved halos around galaxies. We find a marginal signal from thecorrelation of Planck data and the WHIM template with a signal-to-noise from0.84 to 1.39 at the different Planck frequencies, and with a frequencydependence compatible with the thermal Sunyaev-Zel'dovich (tSZ) effect. When werestrict our analysis to the 60% of the sky outside the plane of the Galaxy andknown point sources and galaxy clusters, the cross-correlation at zero lag is0.064 +/- 0.051 muK. The correlation extends out to ~6 deg, which at the mediandepth of our template corresponds to a physical length of ~ 6-8 Mpc/h. On thesame fraction of the sky, the cross-correlation of the CMB data with the secondtemplate is <0.17 muK (95% C.L.), providing no statistically significantevidence of a contribution from bound gas to the previous result. This limittranslates into a physical constraint on the properties of the shock-heatedWHIM of a log-normal model describing the weakly nonlinear density field. Wefind that our upper limit is compatible with a fraction of 45% of all baryonsresiding in filaments at overdensities ~1-100 and with temperatures in therange 10^4.5-10^7.5 K, in agreement with the detection at redshift z~0.5 of vanWaerbeke et al. (2014).

Constraining the baryon fraction in the Warm Hot Intergalactic Medium at low redshifts with PLANCK data