2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202607In the minimal SUGRA model the lighter tau slepton is expected to be the second lightest superparticle over a large parameter range at large $\tanβ$. Consequently one expects a viable SUGRA signal at LHC in the tau lepton channel coming from the decay of these tau sleptons. The model predicts the polarization of this tau lepton to be +1 to a very good accuracy. We show how this prediction can be tested by looking at the momentum fraction of the tau-jet, carried by the charged prong, in its 1-prong hadronic decay channel.13 pages, 3 figures. Minor changes and one reference added. Version to be published in PLB. Reprot: TIFR/TH/02-13High Energy Physics - PhenomenologyUsing Tau Polarization as a Distinctive SUGRA Signature at LHCtext