Coherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei

Abstract

In this paper we study coherent neutrinoproduction of photons [neutral current (NC)] and pions [charged current (CC) and NC] with $E_{\nu }⩽0.5$ GeV. The production from nucleons and incoherent production with $E_{\nu }⩽0.5\mathrm{GeV}$ have been studied in [B. D. Serot and X. Zhang, Phys. Rev. C 86, (2012) 015501; and X. Zhang and B. D. Serot, Phys. Rev. C 86, (2012) 035502]. These processes are relevant to the background analysis in neutrino-oscillation experiments, for example MiniBooNE [A. A. Aquilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. Lett. 100, 032301 (2008)]. We work in the framework of a Lorentz-covariant effective field theory (EFT), which contains nucleons, pions, the Delta (1232) ($\Delta$s), isoscalar scalar ($\sigma$) and vector ($\omega$) fields, and isovector vector ($\rho$) fields. The Lagrangian exhibits a nonlinear realization of (approximate) $SU(2{)}_L\otimes SU(2{)}_R$ chiral symmetry and incorporates vector meson dominance. In the calculation, a revised version of the so-called "optimal approximation" is applied, in which one-nucleon interaction amplitude is factorized out and its medium-modifications are included. The distortion of final pion wave function is calculated using the Eikonal approximation. In addition, we briefly mention the ambiguity of off-shell interaction amplitude. To benchmark the approximation scheme, we study coherent pion photoproduction. Our scheme is then applied to study the neutrinoproductions. In the pion photoproduction and NC photon production, we are able to address the contributions of two contact terms that are partially related to the proposed anomalous interactions involving $\omega (\rho )$ $Z$ boson and photon. The calculation is focused on ${}^{12}C$ target, and can be applied to other medium-heavy nucleus.

18 pages, 10 figures, typos corrected

References in corpus (20)

• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Anomaly mediated neutrino-photon interactions at finite baryon density
• Search for Charged Current Coherent Pion Production on Carbon in a Few-GeV Neutrino Beam
• First Observation of Coherent ${\pi }^0$ Production in Neutrino Nucleus Interactions with $E_{\nu }<$ 2 GeV
• PCAC and the Deficit of Forward Muons in pi^+ Production by Neutrinos
• Standard Model Gauging of the WZW Term: Anomalies, Global Currents and pseudo-Chern-Simons Interactions
• Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies
• Final-state interactions and superscaling in the semi-relativistic approach to quasielastic electron and neutrino scattering
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Neutrino Induced Coherent Pion Production off Nuclei and PCAC
• Quasielastic Charged Current Neutrino-nucleus Scattering
• Superscaling and Charge-Changing Neutrino Scattering from Nuclei in the $\mathbf{\Delta }$-Region beyond the Relativistic Fermi Gas Model
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Superscaling in electroweak excitation of nuclei
• Quasi-elastic neutrino charged-current scattering off C-12
• Two-loop Corrections for Nuclear Matter in a Covariant Effective Field Theory
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• Analysis of quasi-elastic neutrino charged-current scattering off ${}^{16}$O and neutrino energy reconstruction
• Neutrino-nucleus reactions in the delta resonance region

Cited by in corpus (12)

• Updated MiniBooNE Neutrino Oscillation Results with Increased Data and New Background Studies
• Progress and open questions in the physics of neutrino cross sections
• Single photon events from neutral current interactions at MiniBooNE
• Can neutrino-induced photon production explain the low energy excess in MiniBooNE?
• Recent Advances and Open Questions in Neutrino-induced Quasi-elastic Scattering and Single Photon Production
• Search for neutral-current induced single photon production at the ND280 near detector in T2K
• Neutrino Interactions with Matter and the MiniBooNE anomaly
• Low-energy photon production in neutrino neutral-current interactions
• Angular distributions in Monte Carlo event generation of weak single-pion production
• Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$
• The ratio of $\gamma /{\pi }^0$ production rates in neutrino-nucleus interactions at the $\Delta$ resonance mass region
• Neutrino Induced Charged Current Coherent Pion Production for Constraining the Muon Neutrino Flux at DUNE