Weak Pion Production off the Nucleon

Abstract

We develop a model for the weak pion production off the nucleon, which besides the Delta pole mechanism (weak excitation of the $\Delta (1232)$ resonance and its subsequent decay into $N\pi$), includes also some background terms required by chiral symmetry. We re-fit the $C_5^A(q^2)$ form factor to the flux averaged ${\nu }_{\mu }p\to {\mu }^{-}p{\pi }^{+}$ ANL $q^2-$differential cross section data, finding a substantially smaller contribution of the Delta pole mechanism than traditionally assumed in the literature. Within this scheme, we calculate several differential and integrated cross sections, including pion angular distributions, induced by neutrinos and antineutrinos and driven both by charged and neutral currents. In all cases we find that the background terms produce quite significant effects and that they lead to an overall improved description of the data, as compared to the case where only the Delta pole mechanism is considered. We also show that the interference between the Delta pole and the background terms produces parity-violating contributions to the pion angular differential cross section, which are intimately linked to $T-$odd correlations in the contraction between the leptonic and hadronic tensors. However, these latter correlations do not imply a genuine violation of time reversal invariance because of the existence of strong final state interaction effects.

Typos corrected; comments added

References in corpus (15)

• Inclusive Quasi-Elastic Charged-Current Neutrino-Nucleus Reactions
• $Q^2$ Dependence of Quadrupole Strength in the ${\gamma }^{\ast }p\to {\Delta }^{+}(1232)\to p{\pi }^0$ Transition
• Charged Current Neutrino Nucleus Interactions at Intermediate Energies
• Resonance production by neutrinos: The second resonance region
• Dynamical Model of Weak Pion Production Reactions
• Resonance production by neutrinos: I. J=3/2 Resonances
• Inclusive Nucleon Emission Induced by Quasi--Elastic Neutrino--Nucleus Interactions
• Neutrino Production of Resonances
• Measurement of single pi0 production in neutral current neutrino interactions with water by a 1.3 GeV wide band muon neutrino beam
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops
• The axial N to Delta transition form factors from Lattice QCD
• Theoretical uncertainties on quasielastic charged-current neutrino-nucleus cross sections
• Charged current anti-neutrino reactions from ${}^{12}$C at MiniBooNE energies
• Improved Unitarized Heavy Baryon Chiral Perturbation Theory for pion-nucleon Scattering to fourth order
• Can One Distinguish Tau Neutrinos from Antineutrinos in Neutral-Current Pion Production Processes?

Cited by in corpus (134)

• Transport-theoretical Description of Nuclear Reactions
• Inclusive Charged--Current Neutrino--Nucleus Reactions
• A unified approach for nucleon knock-out, coherent and incoherent pion production in neutrino interactions with nuclei
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Atmospheric neutrino oscillation analysis with sub-leading effects in Super-Kamiokande I, II, and III
• Atmospheric neutrino oscillation analysis with external constraints in Super-Kamiokande I-IV
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Limits on sterile neutrino mixing using atmospheric neutrinos in Super-Kamiokande
• Progress and open questions in the physics of neutrino cross sections
• Neutrino Energy Reconstruction and the Shape of the CCQE-like Total Cross Section
• Reanalysis of bubble chamber measurements of muon-neutrino induced single pion production
• Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments
• $C_5^A$ axial form factor from bubble chamber experiments
• Study of Non-Standard Neutrino Interactions with Atmospheric Neutrino Data in Super-Kamiokande I and II
• Dynamical coupled-channels model for neutrino-induced meson productions in resonance region
• Two Particle-Hole Excitations in Charged Current Quasielastic Antineutrino--Nucleus Scattering
• Constraining the GENIE model of neutrino-induced single pion production using reanalyzed bubble chamber data
• N-Delta(1232) axial form factors from weak pion production
• Atmospheric Neutrino Oscillation Analysis With Improved Event Reconstruction in Super-Kamiokande IV
• Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
• Event Generators for High-Energy Physics Experiments
• Neutrino-nucleus cross section within the extended factorization scheme
• Single pion production in neutrino nucleus scattering
• Nuclear effects in electron- and neutrino-nucleus scattering within a relativistic quantum mechanical framework
• One pion production in neutrino reactions: including non-resonant background
• Form Factors in the Quark Resonance Model
• Dynamical Model of Coherent Pion Production in Neutrino-Nucleus Scattering
• Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies
• Photon emission in neutral current interactions at intermediate energies
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Electron- versus neutrino-nucleus scattering
• Single pion production in neutrino-nucleon Interactions
• Neutral current coherent pion production
• Watson's theorem and the $N\Delta (1232)$ axial transition
• Neutrino event generators: foundation, status and future
• Measurement of ${\nu }_{\mu }$ charged-current single ${\pi }^0$ production on hydrocarbon in the few-GeV region using MINERvA
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Electroweak single-pion production off the nucleon: from threshold to high invariant masses
• Weak Kaon Production off the Nucleon
• Seagull and pion-in-flight currents in neutrino-induced $1N$ and $2N$ knockout
• First Measurement of Neutrino and Antineutrino Coherent Charged Pion Production on Argon
• ACHILLES: A novel event generator for electron- and neutrino-nucleus scattering
• Detectors and flux instrumentation for future neutrino facilities
• Can neutrino-induced photon production explain the low energy excess in MiniBooNE?
• Incoherent Pion Production in Neutrino - Deuteron Reactions
• Neutrino induced pion production at MiniBooNE and K2K
• Pion production within the hybrid relativistic plane wave impulse approximation model at MiniBooNE and MINERvA kinematics
• Neutrino Induced Coherent Pion Production off Nuclei and PCAC
• Weak charged and neutral current induced one pion production off the nucleon
• Angular distributions in electroweak pion production off nucleons: odd parity hadron terms, strong relative phases and model dependence
• The influence of the nuclear medium on inclusive electron and neutrino scattering off nuclei
• Emission of neutron-proton and proton-proton pairs in neutrino scattering
• Towards a Unified Model of Neutrino-Nucleus Reactions for Neutrino Oscillation Experiments
• Neutrino-induced one-pion production revisited: the ${\nu }_{\mu }n\to {\mu }^{-}n{\pi }^{+}$ channel
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Lepton mass effects in weak CC single pion production
• Electroweak Form Factors of the $\Delta$(1232) Resonance
• Neutrino-induced coherent pion production off nuclei reexamined
• On Recent Weak Single Pion Production Data
• Electroweak pion-production on nuclei within the extended factorization scheme
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Muon-neutrino-induced charged current pion production on nuclei
• Neutrino induced threshold production of two pions and N^*(1440) electroweak form factors
• Further tests of lepton flavour universality from the charged lepton energy distribution in $b\to c$ semileptonic decays: The case of ${\Lambda }_b\to {\Lambda }_c\ell {\bar{\nu }}_{\ell }$
• Neutrino-induced pion production from nuclei at medium energies
• Neutrino-induced forward meson-production reactions in nucleon resonance region
• Exclusive final state hadron observables from neutrino-nucleus multi-nucleon knockout
• Pion Production in High-Energy Neutrino Reactions with Nuclei
• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
• Measurement of the muon neutrino charged-current single ${\pi }^{+}$ production on hydrocarbon using the T2K off-axis near detector ND280
• Modeling neutrino-induced charged pion production on water at T2K kinematics
• Methods to Determine Neutrino Flux at Low Energies:Investigation of the Low $\nu$ Method
• Antineutrino induced antikaon production off the nucleon
• Coherent pion production off nuclei at T2K and MiniBooNE energies revisited
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• New evaluation of axial nucleon form factor from electron- and neutrino-scattering data and impact on neutrino-nucleus cross-section
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• On Impact of Nuclear Effects on Weak Pion Production in Sub 1 GeV Energy Region
• Neutral-current weak pion production off the nucleon in covariant chiral perturbation theory
• Impact of final state interactions on neutrino-nucleon pion production cross sections extracted from neutrino-deuteron reaction data
• The frozen nucleon approximation in two-particle two-hole response functions
• One pion production in neutrino-nucleon scattering and the different parametrizations of the weak $N\to \Delta$ vertex
• Hyperon production from neutrino-nucleon reaction
• Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering
• Two-nucleon emission in neutrino and electron scattering from nuclei: the modified convolution approximation
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Quasi-elastic neutrino charged-current scattering off ${}^{12}$C: effects of the meson exchange currents and large nucleon axial mass
• Quark--hadron duality in lepton scattering off nuclei
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Polarization Transfer in Weak Pion Production off the Nucleon
• Angular Dependence of Coherent Pion Production by Neutrinos
• Charged-current quasielastic neutrino scattering from ${}^{12}$C in an extended superscaling model with two-nucleon emission
• Neutrino production of hadrons at low energy and in the small $Q^2$ region
• Single pion production in electron-proton interactions
• Photon induced K$\Lambda$ production on the proton in the low energy region
• MK single pion production model
• Summary of Workshop on Common Neutrino Event Generator Tools
• Spin asymmetry in single pion production induced by weak interactions of neutrinos with polarized nucleons
• Model dependence of the polarization asymmetries in weak pion production off the nucleon
• Inclusive electron scattering off ${}^{12}$C, ${}^{40}$Ca, and ${}^{40}$Ar: effects of the meson exchange currents
• On the measurement of Adler angles in charge current single pion neutrino-nucleusinteractions
• Neutral Current induced ${\pi }^0$ production and neutrino magnetic moment
• Meson-exchange currents in quasielastic electron scattering in a generalized superscaling approach
• Semi-inclusive two-nucleon emission in (anti) neutrino CC scattering within the relativistic mean field framework
• The Ghent Hybrid Model in NuWro: a new neutrino single-pion production model in the GeV regime
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Angular distributions in Monte Carlo event generation of weak single-pion production
• Electroweak Single Pion Production and Form Factors of the Δ(1232) Resonance
• Assessing the theory-data tension in neutrino-induced charged pion production: the effect of final-state nucleon distortion
• Production of Two Pions Induced by Neutrinos
• Charged current (anti)neutrino induced eta production off the nucleon
• Exploring semi-inclusive two-nucleon emission in neutrino scattering: a factorized approximation approach
• Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$
• Neutrino induced 1-pion production
• Neutrino induced weak pion production off the nucleon
• Snowmass 2021 LoI: Neutrino-induced Shallow- and Deep-Inelastic Scattering
• Weak pion-production and the second resonance region
• Neutrino-Nucleus scattering in the SuSA model
• Relativistic meson-exchange currents in semi-inclusive lepton scattering
• Weak Kaon Production off the nucleon and Watson's theorem
• Weak production of strange $\Xi$ baryons off the nucleon
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Pion production off the nucleon
• Present Status of Single Pion Production in Neutrino-Nucleus Reactions
• Weak Quasielastic Production of Hyperons and Threshold Production of Two Pions
• Status and Perspectives of Neutrino Physics
• Coherent pion production in neutrino-nucleus collisions
• Single pion-production and pion propagation in Achilles
• Resonance axial-vector mass from experiments on neutrino-hydrogen and neutrino-deuterium scattering
• Exclusive Hadron Observables in Neutrino Induced $2p2h$ Multinucleon Knockout
• Charged-current quasielastic-like neutrino scattering from ${}^{12}$C in the coherent density fluctuation model with two-nucleon emission
• Neutrino-induced single pion production and the reanalyzed bubble chamber data
• Nuclear effects in neutrino induced reactions
• Single Pion Production off Free Nucleons: Analysis of Photon, Electron, Pion and Neutrino Induced Processes