Weak structure functions in νl−N and νl−A

Abstract

We study the effect of various perturbative and nonperturbative QCD corrections on the free nucleon structure functions (F W I iN (x, Q 2 ); i = 1 − 3) and their implications in the determination of nuclear structure functions. The evaluation of the nucleon structure functions has been performed by using the MMHT 2014 PDFs parameterization, and the TMC and HT effects are incorporated following the works of Schienbein et al. and Dasgupta et al., respectively. These nucleon structure functions are taken as input in the determination of nuclear structure functions. The numerical calculations for the ν l /ν l −A DIS process have been performed by incorporating the nuclear medium effects like Fermi motion, binding energy, nucleon correlations, mesonic contributions, shadowing and antishadowing in several nuclear targets such as carbon, polystyrene scintillator, iron and lead which are being used in MINERvA, and in argon nucleus which is relevant for the ArgoNeuT and DUNE experiments. The differential scattering cross sections d 2 σ W I A dxdy and ( dσ W I A dx / dσ W I CH dx ) have also been studied in the kinematic region of MINERvA experiment. The theoretical results are compared with the recent experimental data of MINERvA and the earlier data of NuTeV, CCFR, CDHSW and CHORUS collaborations. Moreover, a comparative analysis of the present results for the ratio ( dσ W I A dx / dσ W I CH dx ), and the results from the MC generator GENIE and other phenomenological models of Bodek and Yang, and Cloet et al., has been performed in the context of MINERvA experiment. The predictions have also been made forν l − A cross section relevant for MINERvA experiment.

Nuclear medium effects in the deep inelastic $ν_τ/\barν_τ-^{40}Ar$ scattering at DUNE energies

“…For the evaluation of the weak nuclear structure functions not much theoretical efforts have been made except that of Kulagin et al [40,41] and Athar et al (Aligarh-Valencia group) [30][31][32][33][34][35][36][37][38][39]. Aligarh-Valencia group has studied nuclear medium effects in the structure functions in a microscopic model which uses relativistic nucleon spectral function to describe the target nucleon momentum distribution incorporating the effects of Fermi motion, binding energy and nucleon correlations in a field theoretical model.…”

“…W 6A (ν A , Q 2 ) does not contribute to the cross section as it vanishes when contracted with the leptonic tensor L µν . The nuclear structure functions W iA (ν A , Q 2 ) (i = 1 − 5) are written in terms of the dimensionless nuclear structure functions F iA (x A ); (i = 1 − 5) as [39,45]:…”

“…However, some recent work has been done to discuss the nuclear medium effects in the cross sections and polarization of τ leptons produced in the ν τ induced quasielastic scattering [28,29] but not in the case of deep inelastic scattering induced by ν τ . This is in contrast to the study of the deep inelastic scattering induced by the electron neutrinos (ν e ) and muon neutrinos (ν µ ) from nuclei in which the nuclear medium effects have been studied extensively [30][31][32][33][34][35][36][37][38][39][40][41]. Our aim in this paper is to study the nuclear medium effects in the deep inelastic scattering of tau neutrinos off nucleus in general and apply it to the 40 Ar nucleus in the energy region relevant for the DUNE experiment.…”

Evolution of the electroweak structure functions of nucleons

“…. It has been shown that weak interaction CC structure functions F ν,CC 1 and F ν,CC 2 at NLO with TMC and higher-twist corrections have only small differences (< 1%) from the same structure functions evaluated at NNLO with TMC, without additional higher twist corrections, though somewhat large differences arise for F ν,CC 3 (e.g., an 8% correction for Q 2 = 1.8 GeV 2 and x = 0.225) [100]. We have not considered dynamical higher twists in our discussion here.…”

“…Finally, we note that modeling nuclear corrections to structure functions is much more complex in this regime [100,[117][118][119][120] and may be different for electromagnetic and weak scattering. The MINERvA experiment [121] measurements of neutrino DIS scattering on multiple nuclear targets shows what can be interpreted as the onset of nuclear shadowing in the axial-vector current.…”