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

TL;DR

This paper analyzes neutral current induced $b0$ production in neutrino interactions, comparing standard model weak processes with electromagnetic contributions from neutrino magnetic moments, and concludes current experiments cannot improve magnetic moment limits.

Contribution

It provides a detailed calculation of $b0$ production cross sections considering both weak and electromagnetic interactions, highlighting the limited impact of neutrino magnetic moments on observable signals.

Findings

Electromagnetic contribution is small given current magnetic moment limits.

Neutral current $b0$ production does not improve existing magnetic moment bounds.

Future experiments like T2K and NO$ u$A are unlikely to set tighter constraints.

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.