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We study the correlation between far-infared/submm dust emission and atomicgas column density in order to derive the properties of the high Galacticlatitude, low density, Milky Way cirrus in the foreground of the Virgo clusterof galaxies. Dust emission maps from 60 to 850 um are obtained from SPIREobservations carried out within the Herschel Virgo Cluster Survey, complementedby IRAS-IRIS and Planck-HFI maps. Data from the Arecibo legacy Fast ALFA Surveyis used to derive atomic gas column densities for two broad velocitycomponents, low and intermediate velocity clouds. Dust emissivities are derivedfor each gas component and each far-infared/submm band. For the low velocityclouds, we measure an average emissivity 0.79 +/- 0.08 times 1E-20 MJy sr^-1cm^2 at 250 um. After fitting a modified blackbody to the available bands, weestimated a dust absorption cross-section 0.49 +/- 0.13 times 1E-25 cm^2 H^-1at 250 um (with dust temperature T = 20.4 +/- 1.5 K and spectral index beta =1.53 +/- 0.17). The results are in excellent agreement with those obtained byPlanck over a much larger coverage of the high Galactic latitude cirrus (50% ofthe sky vs 0.2% in our work). For dust associated with intermediate velocitygas, we confirm earlier Planck results and find a higher temperature and loweremissivity and cross-section. After subtracting the modelled components, wefind regions at scales smaller than 20' where the residuals deviatesignificantly from the average, cosmic-infrared-background dominated, scatter.These large residuals are most likely due to local variations in the cirrusdust properties (and/or the dust/atomic-gas correlation) or to high-latitudemolecular clouds with average N_H2 <~ 1E20 cm^-2. We find no conclusiveevidence for intracluster dust emission in Virgo.

The Herschel Virgo Cluster Survey. XX. Dust and gas in the foreground Galactic cirrus