Nonperturbative and higher order perturbative effects in deep inelastic ντ/ν¯τ -nucleon scattering

Evolution of the electroweak structure functions of nucleons

“…Higher-twist corrections are most important at large x and low Q 2 , in the region where W 2 GeV, for F ν,CC 1 and F ν,CC 2 . As an example of the scale of the higher-twist correction, with the higher-twist model of Dasgupta and Webber [99] and NLO QCD at Q 2 = 2 GeV 2 , the higher twist correction to F ν,CC 2 for x = 0.3 is < 1%, while for x = 0.8, it is a ∼ 35% correction [48]. Higher twist corrections extend to lower x values for F ν,CC…”

“…The structure function F 5 makes important contributions to the tau neutrino charged current cross section. At E = 100 GeV, F 5 contributes ∼ 10% (∼ 30%) of the ν τ N (ν τ N ) cross section, with even larger contributions for lower incident neutrino energies [47,48]. For ν τ N and ν τ N CC scattering with E = 10 GeV, Q 2 is in the range Q 2 1 − 15 GeV 2 and x 0.1 where corrections to the Albright-Jarlskog relation of Eq.…”

“…A slightly larger fraction, ∼ 4%, is obtained for tau anti-neutrinos incident with 10 GeV. By 100 GeV energies, the contribution of F 4 is completely negligible [47,48]. In the massless quark limit, the second Albright-Jarlskog relation 2xF…”

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

“…The extraction of ν τ −nucleon interaction observables like the total and differential scattering cross sections as well as the oscillation parameters in the ν τ sector would have systematic uncertainty arising due to the model dependence of the ν τ −nucleus cross sections in treating the nuclear medium effects. This will be in addition to the uncertainties in high energy ν τ −nucleon cross sections present inherently in the case of free nucleon targets, some of which are discussed in the literature [1,[20][21][22][23]. The need for studying the nuclear medium effects in the ν τ −nucleus interactions has been emphasized earlier in some experimental and theoretical papers in the context of τ −lepton production induced by the tau neutrinos [20,23].…”

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The nuclear medium effects are studied in the ντ /ντ interactions from nuclei in the deep inelastic scattering (DIS) region and applied to the 40 Ar nucleus to obtain the scattering cross sections in the energy region of the proposed DUNE experiment. The free nucleon structure functions (FiN (x, Q 2 ); (i = 1 − 5)) have been calculated at the next-to-leading order (NLO) using Martin-Motylinski-Harland Lang-Thorne (MMHT) 2014 as well as The Coordinated Theoretical-Experimental Project on QCD (CTEQ6.6) parameterizations for parton distribution functions (PDFs) and including the effect of perturbative and nonperturbative QCD corrections [1]. These free nucleon structure functions are then convoluted with the nucleon spectral function in the nucleus to obtain the nuclear structure functions (FiA(x, Q 2 ); (i = 1 − 5)).

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