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

Abstract

Neutrino-induced productions (neutrinoproduction) of photons and pions from nucleons and nuclei are important for the interpretation of neutrino-oscillation experiments, as they are potential backgrounds in the MiniBooNE experiment [A. A. Aquilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. Lett. {\bf 100}, 032301 (2008)]. These processes are studied at intermediate energies, where the Δ(1232) resonance becomes important. The Lorentz-covariant effective field theory, which is the framework used in this series of study, contains nucleons, pions, Δs, isoscalar scalar (σ) and vector (ω) fields, and isovector vector (ρ) fields. The lagrangian exhibits a nonlinear realization of (approximate) $SU(2{)}_L\otimes SU(2{)}_R$ chiral symmetry and incorporates vector meson dominance. In this paper, we focus on setting up the framework. Power counting for vertices and Feynman diagrams is explained. Because of the built-in symmetries, the vector current is automatically conserved (CVC), and the axial-vector current is partially conserved (PCAC). To calibrate the axial-vector transition current (N $\leftrightarrow$ Δ), pion production from the nucleon is used as a benchmark and compared to bubble-chamber data from Argonne and Brookhaven National Laboratories. At low energies, the convergence of our power-counting scheme is investigated, and next-to-leading-order tree-level corrections are found to be small.

arXiv comment21 pages, 7 figures, typos corrected. arXiv admin note: substantial text overlap with arXiv:1011.5913

References in corpus (29)

• Recent Progress in Quantum Hadrodynamics
• A Chiral Effective Lagrangian for Nuclei
• Generalized Dimensional Analysis
• Weak Pion Production off the Nucleon
• Analysis of Chiral Mean-Field Models for Nuclei
• Measurement of Muon Neutrino Quasi-Elastic Scattering on Carbon
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Resonance production by neutrinos: The second resonance region
• Vacuum Contributions in a Chiral Effective Lagrangian for Nuclei
• Dynamical Model of Weak Pion Production Reactions
• $C_5^A$ axial form factor from bubble chamber experiments
• Resonance production by neutrinos: I. J=3/2 Resonances
• Parameter Counting in Relativistic Mean-Field Models
• $\nu d\to {\mu }^{-}{\Delta }^{++}n$ Reaction and Axial Vector $N-\Delta$ Coupling
• Form Factors in the Quark Resonance Model
• One pion production in neutrino reactions: including non-resonant background
• Low energy analysis of nu N --> nu N gamma in the Standard Model
• Large Lorentz Scalar and Vector Potentials in Nuclei
• Neutrino-induced pion production from nuclei at medium energies
• Pion-Nucleon Scattering at Low Energies
• Effective lagrangian approach to structure of selected nuclei far from sta bility
• Two-loop Corrections for Nuclear Matter in a Covariant Effective Field Theory
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• The Delta(1232) Resonance in Chiral Effective Field Theory
• MicroBooNE, A Liquid Argon Time Projection Chamber (LArTPC) Neutrino Experiment
• The Axial-Vector Current in Nuclear Many-Body Physics
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• Three-loop Corrections in a Covariant Effective Field Theory
• A Field-Theoretic Parametrization of Low-Energy Nucleon Form Factors

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