Quark-hadron duality in lepton scattering off nucleons

Quark-hadron (QH) duality in lepton scattering off nucleons is studied with the resonance quark model. It is shown that in the case of neutrino scattering off an isoscalar target the duality is simultaneously observed for charged and neutral currents $xF_1^{\nu N}$, $F_2^{\nu N}$, and $xF_3^{\nu N}$ weak structure functions. We demonstrate that the QH duality can be useful property for modeling structure functions in the so-called resonance region. As an example it is shown that combining relativistic quark model predictions with duality arguments allows a construction of the inclusive resonance $F_2^{ep}$ structure function.Comment: 5 pages, 3 figures. Talk given at NuFact09, 11th International Workshop on Neutrino Factories, Superbeams and Beta Beams, July 20-25, 2009; IIT Chicago, US

Relevance of Two Boson Exchange Effect in Quasi-Elastic Charged Current Neutrino-Nucleon Interaction

Two boson exchange (TBE) correction to the cross section for the quasi-elastic charged current $\nu n$ and $\bar{\nu} p$ scattering is evaluated. The TBE is given by $W\gamma$ box diagrams. The calculations are performed for 1 GeV neutrinos. The averaged TBE correction is of the order of $2\div4$ (with respect to Born contribution) in the case of $\nu_e$ and $\bar{\nu}_e$ and $1\div2$ in the case of $\nu_\mu$ and $\bar{\nu}_\mu$. The impact of the TBE effect on the systematic discrepancy between the $\nu_e$ and $\nu_\mu$ cross sections is discussed.Comment: 6 pages, 7 figure

Electroweak Single Pion Production and Form Factors of the \Delta(1232) Resonance

We extend and review our analysis of the nucleon \to \Delta(1232) transition electroweak form factors from Ref. [1]. New fit of the \Delta(1232) vector form factors to electron-proton scattering F_2 structure function is introduced as well, leading to results different from the popular parametrization of Ref. [2]. A clear model dependence of the extracted parameters emerges. Fit to neutrino scattering data is performed in all available isospin channels. The resulting axial mass is M_{A\Delta}=0.85^{+0.09}_{-0.08} (GeV) and $C_5^A(0) = 1.10^{+0.15}_{-0.14}. The latter value is in accordance with Goldberger-Treiman relation as long as the deuteron effects are included.Comment: 10 pages, 5 figures. Proceedings of the CETUP*2014 workshop "Neutrino Interactions", corrected versio

Tau polarization in charge current neutrino-nucleon Deep Inelastic Scattering

Numerical results for the degree of polarization of \tau^- produced in (CC) neutrino - nucleon Deep Inelastic Scattering (DIS) are presented. Calculations are done in the threshold region, where the \tau^- scattered by the small angles and can be partially polarized. The cross sections and polarization are calculated by using the GRV98 parton distributions functions (PDF's) and the GRV98 with modifications of A. Bodek at.al.Comment: 4 pages, 2 figures, Poster Session of the NuInt04 Conference, Gran Sasso 200

Appearance of quark-hadron duality in the Rein-Sehgal model

Quark-hadron duality in neutrino-nucleon reactions is investigated under the assumption that cross sections in the resonance region are given by the Rein-Sehgal model. The quantitative analysis of the duality is done by means of appropriate integrals of the structure functions in the Nachtmann variable. We conclude that with the definition of the resonance region $W\in (M+m_{\pi}, 2$ GeV) the duality holds for neutrino-proton reaction $F_2$ structure function for $Q^2\in (0.5, 3)$ GeV$^2$ and it is absent for neutrino-neutron reaction.Comment: 4 pages, 7 figures, presented at NuInt05 conference, Okayama, Sept. 26-29, 200