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Register a new userImproved low Q2 model for neutrino and electron nucleon cross sections in few GeV region
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We present an improved model on neutrino- and electron-nucleon scattering cross sections using effective leading order PDFs with a new scaling variable xi_w. Non-perturbative QCD effects at low Q^2 are separately treated for u and d valence quarks, and sea quarks. The improved model uses all inelastic charged lepton F_2 data (SLAC/BCDMS/NMC/HERA), and photoproduction data on proton and deuterium. In this way, we obtain an improved model which describes all inelastic scattering charged lepton data, JLAB resonance data, and neutrino data. This improved model is expected to be better for neutrino oscillation experiments at few GeV region.
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Separate samples of charged-current pion production events representing two semi-inclusive channels $ u_mu$-CC($pi^{+}$) and $bar{ u}_{mu}$-CC($pi^{0}$) have been obtained using neutrino and antineutrino exposures of the MINERvA detector. Distributions in kinematic variables based upon $mu^{pm}$-track reconstructions are analyzed and compared for the two samples. The differential cross sections for muon production angle, muon momentum, and four-momentum transfer $Q^2$, are reported, and cross sections versus neutrino energy are obtained. Comparisons with predictions of current neutrino event generators are used to clarify the role of the $Delta(1232)$ and higher-mass baryon resonances in CC pion production and to show the importance of pion final-state interactions. For the $ u_mu$-CC($pi^{+}$) ($bar{ u}_{mu}$-CC($pi^{0}$)) sample, the absolute data rate is observed to lie below (above) the predictions of some of the event generators by amounts that are typically 1-to-2 $sigma$. However the generators are able to reproduce the shapes of the differential cross sections for all kinematic variables of either data set.
Unitarity relates the total cross section for neutrino-nucleon scattering to the neutrino-nucleon forward scattering amplitude. Assuming the validity of the perturbative expansion of the forward amplitude in the {em weak} coupling constant, we derive a unitarity bound on the inelastic cross section. The inelastic cross section saturates this bound at a typical neutrino energy $E_ u simeq 10^8 {rm GeV}$. This implies that calculations of the inelastic cross section that use current parton distribution functions and lowest order weak perturbation theory are unreliable above this energy.
We present results using a new scaling variable, xi_w in modeling electron- and neutrino-nucleon scattering cross sections with effective leading order PDFs.Our model uses all inelastic charged lepton F_2 data (SLAC/BCDMS/NMC/HERA), and photoproduction data on hydrogen and deuterium. We find that our model describes all inelastic scattering charged lepton data, the average of JLAB resonance data, and neutrino data at all Q2. This model is currently used by current neutrino oscillation experiments in the few GeV region.
An updated set of (anti)neutrino-nucleon charged and neutral current cross sections at $3~{rm GeV} lesssim E_ u lesssim 100~{rm GeV}$ is presented. These cross sections are of particular interest for the detector optimization and data processing and interpretation in the future Megaton-scale experiments like PINGU, ORCA, and Hyper-Kamiokande. Finite masses of charged leptons and target mass corrections in exclusive and deep inelastic $(bar u) u N$ interactions are taken into account. A new set of QCD NNLO parton density functions, the ABMP15, is used for calculation of the DIS cross sections. The sensitivity of the cross sections to phenomenological parameters and to extrapolations of the nucleon structure functions to small $x$ and $Q^2$ is studied. An agreement within the uncertainties of our calculations with experimental data is demonstrated.
We carry out a relativistic calculation of the cross sections of electron-16O and -12C quasi-elastic scattering and quasi-free Delta production and compare with the (e,e) data systematically in the wide energy range of 0.5 - 1.5 GeV. Using the same formalism, we examine the mu-neutrino quasi-elastic scattering from 16O. The model incorporating the nuclear correlation effects agrees better with the electron-nucleus scattering data than a uniform Fermi-Gas model. In the neutrino quasi-elastic scattering, the nuclear correlation has an appreciable effect on the cross section of high-energy scattered leptons, and it may have an important consequence in the neutrino oscillation measurements aiming at a few % precision.
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