Nonperturbative and higher order perturbative effects in deep inelastic ${\nu }_{\tau }/{\bar{\nu }}_{\tau }-$nucleon scattering

Abstract

The effect of nonperturbative and higher order perturbative corrections to all the free nucleon structure functions ($F_{iN}(x,Q^2);i=1-5$) in the DIS of ${\nu }_{\tau }/{\bar{\nu }}_{\tau }$ on nucleon is studied. The target mass correction (TMC) and higher twist (HT) effects are incorporated following the works of Kretzer et al. and Dasgupta et al., respectively. The evaluation of the nucleon structure functions has been performed by using the MMHT 2014 parameterization of the parton distribution functions (PDFs). The calculations have been performed at the next-to-leading(NLO) order. These nucleon structure functions (SF) are used to calculate the DIS cross section by further including the kinematical corrections due to $\tau$-lepton mass. Due to the inclusion of lepton mass two additional structure functions $F_{4N}(x,Q^2)$ and $F_{5N}(x,Q^2)$ become non-negligible. The results for the nucleon structure functions, differential and total scattering cross sections are presented. The various effects considered in this work are effective in the different regions of $x$ and $Q^2$, and quite important in the energy region of $E_{{\nu }_{\tau }/{\bar{\nu }}_{\tau }}<15$ GeV. A comparative study of our results with the existing results in the literature for the cross sections is made in the energy region of interest for the DUNE, SHiP, DsTau and HyperK experiments proposed to be done in the near future.

arXiv comment16 pages, 8 figures, 1 table

References in corpus (33)

• Parton distributions for the LHC
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Implications of CTEQ global analysis for collider observables
• Observation of Tau Neutrino Interactions
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• The nuance Neutrino Simulation, and the Future
• Dynamical parton distributions of the nucleon and very small-x physics
• A ZEUS next-to-leading-order QCD analysis of data on deep inelastic scattering
• The Longitudinal Structure Function at the Third Order
• Discovery of tau neutrino appearance in the CNGS neutrino beam with the OPERA experiment
• A first measurement of the interaction cross section of the tau neutrino
• Neutrino Interactions In Oscillation Experiments
• Power Corrections and Renormalons in Deep Inelastic Structure Functions
• Measurement of Atmospheric Tau Neutrino Appearance with IceCube DeepCore
• Third-order QCD corrections to the charged-current structure function F_3
• Final results of the OPERA experiment on ${\nu }_{\tau }$ appearance in the CNGS beam
• Neural network determination of parton distributions: the nonsinglet case
• Evidence for the Appearance of Atmospheric Tau Neutrinos in Super-Kamiokande
• Evidence for ${\nu }_{\mu }\to {\nu }_{\tau }$ appearance in the CNGS neutrino beam with the OPERA experiment
• Tau neutrino deep inelastic charged current interactions
• New parton distributions from large-x and low-Q^2 data
• Simulations from a new neutrino event generator
• Tau Polarization in Tau-Neutrino Nucleon Scattering
• A Measurement of the Tau Neutrino Cross Section in Atmospheric Neutrino Oscillations with Super-Kamiokande
• Target Mass Corrections to Electro-Weak Structure Functions and Perturbative Neutrino Cross Sections
• Tau neutrino and antineutrino cross sections
• Observation of nu_tau appearance in the CNGS beam with the OPERA experiment
• DsTau: Study of tau neutrino production with 400 GeV protons from the CERN-SPS
• Atmospheric Tau Neutrinos in a Multi-kiloton Liquid Argon Detector
• Differential Distributions for NLO Analyses of Charged Current Neutrino-Production of Charm
• Weak structure functions in ${\nu }_l-N$ and ${\nu }_l-A$ scattering with nonperturbative and higher order perturbative QCD effects
• Nucleon and nuclear structure functions with non-perturbative and higher order perturbative QCD effects
• Neutrino-nucleon cross sections at energies of Megaton-scale detectors

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