Abstract
The cross sections and polarization components of the $\tau$ leptons produced in the charged current induced quasielastic $\nu_\tau~(\bar\nu_\tau) - N$ scattering have been studied. The theoretical uncertainties arising due to the use of different vector form factors and the axial dipole mass in the axial vector form factor have been investigated. Due to the high mass of $\tau$ lepton, the contributions from the term containing pseudoscalar and second class current form factors are non-negligible and contribute to the uncertainty in the cross section and polarization observables as these form factors are not well known. In view of the currently proposed experiments by DUNE, SHiP and DsTau collaborations to study the production of $\tau$ lepton, an updated calculation of the cross sections and polarizations of tau leptons in the case of quasielastic production have been done and the numerical results have been presented along with a discussion of the theoretical uncertainties.
Highlights
The production of τ leptons in the ντðντÞ–nucleon interactions induced by the charged current is of considerable topical interest in the study of neutrino oscillations
We study the effect of using various parametric forms of the weak vector and axial vector form factors as well as the effect of pseudoscalar and second class current form factors in the axial vector sector on the total cross section, differential cross section and the polarization components of τ leptons produced in the quasielastic ντðντÞ–nucleon scattering following our earlier works in the case of νμðνμÞ–nucleon and electron-nucleon scattering [17,42,43,44,45]
According to the classification of G-invariance introduced by Weinberg [46], the hadronic current associated with the form factors f1;2ðQ2Þ and g1;3ðQ2Þ correspond to the first class currents, while the hadronic current associated with the form factors f3ðQ2Þ and g2ðQ2Þ correspond to the second class currents (SCC)
Summary
The production of τ leptons in the ντðντÞ–nucleon interactions induced by the charged current is of considerable topical interest in the study of neutrino oscillations. In the low and medium energy region in which the quasielastic and inelastic processes play a significant role, the knowledge of τ polarization, in addition to the cross section is an important parameter to determine the rate and the topological characteristics of the final leptons and pions coming from the τ decays, in order to reconstruct the genuine τ lepton events produced in the ντ– nucleon interactions. It is, important to study the theoretical uncertainties in the prediction of the cross section and the polarization of the τ produced in the ντ– nucleon and in the ντ–nucleus interactions as all the present and future experiments are using nuclear targets.
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