Neutral Current induced ${\pi }^0$ production and neutrino magnetic moment

Abstract

We have studied the total cross section, $Q^2$, momentum and angular distributions for pions in the $\nu$($\bar{\nu }$) induced ${\pi }^0$ production from nucleons. The calculations have been done for the weak production induced by the neutral current in the standard model and the electromagnetic production induced by neutrino magnetic moment. It has been found that with the present experimental limits on the muon neutrino magnetic moment ${\mu }_{{\nu }_{\mu }}$, the electromagnetic contribution to the cross section for the ${\pi }^0$ production is small. The neutrino induced neutral current production of ${\pi }^0$, while giving an alternative method to study the magnetic moment of neutrino ${\mu }_{{\nu }_{\mu }}$, does not provide any improvement over the present experimental limit on ${\mu }_{{\nu }_{\mu }}$ from the observation of this process in future experiments at T2K and NO$\nu$A.

6 pages, 5 figures

References in corpus (7)

• Weak Pion Production off the Nucleon
• Resonance production by neutrinos: The second resonance region
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• Neutral current neutrino-nucleus interactions at intermediate energies
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• Neutral Current pi0 Production in the MiniBooNE Antineutrino Data