Lepton Mass Effects in Single Pion Production by Neutrinos

Abstract

We reconsider the Feynman-Kislinger-Ravndal model applied to neutrino-excitation of baryon resonances. The effects of lepton mass are included, using the formalism of Kuzmin, Lyubushkin and Naumov. In addition we take account of the pion-pole contribution to the hadronic axial vector current. Application of this new formalism to the reaction nu(mu) + p --> mu + Delta at E(nu) approx 1 GeV gives a suppressed cross section at small angles, in agreement with the screening correction in Adler's forward scattering theorem. Application to the process nu(tau) + p --> tau + Delta at E(nu) approx 7 GeV leads to the prediction of right-handed tau polarization for forward-going leptons, in line with a calculation based on an isobar model. Our formalism represents an improved version of the Rein-Sehgal model, incorporating lepton mass effects in a manner consistent with PCAC.

14 pages, 5 figures. Typos in eq. 9 and 27 corrected. Numbers in table I for coherent cross sections (RSA and RSC) corrected (normalization error). Figs 3 and 4 changed accordingly. These corrections also apply to the published version PRD 76, 113004 (2007)

References in corpus (5)

• A Measurement of Atmospheric Neutrino Flux Consistent with Tau Neutrino Appearance
• PCAC and the Deficit of Forward Muons in pi^+ Production by Neutrinos
• Weak Quasi-elastic Production of Hyperons
• Lepton mass effects in weak CC single pion production
• Charged Current Single Pion Cross Section Measurement at MiniBooNE

Cited by in corpus (4)

• Search for Charged Current Coherent Pion Production on Carbon in a Few-GeV Neutrino Beam
• Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies
• Lepton mass effects in weak CC single pion production
• Coherent pion production off nuclei at T2K and MiniBooNE energies revisited