Description
The high statistics and excellent resolution capabilities of DUNE's $^{40}$Ar detector will allow us to make precise studies about phenomena that have, until now, seemed too complex to measure, like tau neutrinos $(\nu_{\tau})$ detection and therefore, provide completion of the 3-flavor neutrino paradigm. Quasi-elastic scattering (QE), $\Delta$ resonance production (RES), and deep inelastic scattering (DIS) processes are known to give dominant contributions in the medium and high neutrino energy to the total cross-section of $\nu_{\tau}$(N) and $\bar{\nu}_{\tau}$(N) cross-sections. These cross-sections have large systematic uncertainties compared to the ones for $\nu_{\mu}$ and $\nu_{e}$. Studies point out that the reason for these differences is due to the model dependence of the $\nu_{\tau}$(N) cross-sections in treating the nuclear medium effects described by the nucleon structure functions, $F_{1N,...,3N}(x, Q^{2})$ for $\nu_{\mu}$ and $\nu_{e}$. These nucleon structure functions are used to calculate DIS cross-section by including kinematical corrections, but due to the addition of the $\tau$-lepton mass another two additional nucleon structure functions become non-negligible, $F_{4N}(x, Q^{2})$ and $F_{5N}(x, Q^{2})$. There is a special interest in the DIS processes originated by charged leptons and (anti)neutrinos on nucleons and nuclear targets as they play an instrumental role in the quark-parton structure of the free nucleons and nucleons when they are bound in a nucleus. This poster will show the semi-theoretical and experimental approach to the estimation of the $\nu_{\tau}$(N) and $\bar{\nu}_{\tau}$(N) cross-sections in DUNE for the DIS region. We aim to look over changes in Q$^{2}$, and the contributions of the additional nucleon structure functions $F_{4N}(x, Q^{2})$ and $F_{5N}(x, Q^{2})$.
| Collaboration | DUNE |
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