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We have studied the tau-lepton polarization in the charged current$\nu_\tau/\bar\nu_\tau$ induced deep inelastic scattering (DIS) from the freenucleon as well as off the nuclear targets that are being used in ongoing andproposed experiments such as IceCube, DUNE, etc. For the free nucleon target,the differential scattering cross sections are obtained by taking into accountthe non-perturbative effect like target mass corrections (TMC) and theperturbative effect like the evolution of the parton densities at thenext-to-leading order (NLO) in the four flavor $\overline{\textrm{MS}}-$scheme.In the case of nucleons bound inside a nuclear target, we have incorporated thenuclear medium effects such as Fermi motion, binding energy and nucleoncorrelations, through the use of nucleon spectral function. We shall presentthe results for the differential scattering cross sections and the longitudinaland transverse components of the tau-lepton polarization assuming time reversalinvariance.

Nuclear effects on tau lepton polarization in charged current deep inelastic $\nu_\tau/\bar\nu_\tau-A$ scattering