# Polarization of tau in quasielastic (anti)neutrino scattering: the role of spectral functions

## TL;DR

This paper investigates tau polarization in quasielastic (anti)neutrino-nucleus scattering using spectral functions, revealing that nuclear corrections significantly affect cross sections but have limited impact on tau polarization components.

## Contribution

It introduces a detailed analysis of tau polarization using spectral functions, comparing different nuclear models to assess nuclear correction effects.

## Key findings

- Spectral functions significantly influence differential cross section predictions.
- Nuclear corrections have minimal impact on tau polarization components.
- Results are relevant for neutrino-oscillation experimental analyses.

## Abstract

We present a study of the $\tau$ polarization in charged-current quasielastic (anti)neutrino-nucleus scattering. The spectral function formalism is used to compute the differential cross section and the polarization components for several kinematical setups, relevant for neutrino-oscillation experiments. The effects of the nuclear corrections in these observables are investigated by comparing the results obtained using two different realistic spectral functions, with those deduced from the relativistic global Fermi gas model, where only statistical correlations are accounted for. We show that the spectral functions, although they play an important role when predicting the differential cross sections, produce much less visible effects on the polarization components of the outgoing $\tau$.