2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/773We study heterogeneous quantities that efficiently cross-correlate the lensing information encoded in CMB polarization and large-scale structures recovered from weak lensing galaxy surveys. These quantities allow us to take advantage of the special features of weak lensing effect on CMB B-polarization and of the high (40%) cross-correlation between the two data sets. We show that these objects are robust to filtering effects, have a low intrinsic cosmic variance (around 8% for small 100 square degrees surveys) and can be used as an original constraint on the vacuum energy density.4 pages, use moriond.sty, to appear in the proceedings of the XXXVth Rencontres de Moriond "Energy densities in the Universe"AstrophysicsCross-correlating CMB polarization with local large scale structurestext