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The future experiments like SHiP, DsTau, and DUNE are proposed to study the properties and the production cross sections of the $\tau$ lepton and its corresponding neutrino ($\nu_{\tau}$). Recently we have performed [1,2,3], a theoretical study of the production cross section as well as the polarization observables of the $\tau$ lepton and the final nucleon/hyperon produced in the quasielastic $\nu_{\tau} (\bar{\nu}_{\tau})-N$ scattering in the few GeV energy region relevant to the above experiments. The $\tau$ lepton produced in $\nu_{\tau}-N$ scattering decays to leptons and pions through the leptonic and hadronic decay modes. In this energy region, the production cross section of $\tau$, its decay and the characteristics of the decay products depend significantly on the $\tau$ polarization. The production cross section and polarization of $\tau$ lepton are calculated using weak nucleon form factors which are determined using various symmetry properties of the weak currents in the vector and axial vector sectors, assuming G and T invariances. We have studied the effect of G and T violating terms in the transition matrix element on the cross sections and the $\tau$ polarization in quasielastic $\nu_{\tau}(\bar{\nu}_{\tau})-N$ scattering induced by $\Delta S=0$ and $\Delta S=1$ weak currents. In the case of $\Delta S=1$ reactions, we have also studied the SU(3) symmetry breaking effects.

[1] A. Fatima, M. Sajjad Athar and S. K. Singh, Phys. Rev. D 102, 113009 (2020).

[2] A. Fatima, M. Sajjad Athar and S. K. Singh, [arXiv:2106.14590 [hep-ph]].

[3] A. Fatima, M. Sajjad Athar and S. K. Singh, Phys. Rev. D 98, 033005 (2018).

What is your topic? | CP and T violation |
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