Tests of flavor universality for neutrino-$Z$ couplings in future neutrino experiments

We investigate the physics potential of the NuSOnG experiment to probe new physics contributions to $Z\nu \nu$ couplings in muon-neutrino-electron elastic and neutral-current deep-inelastic scattering processes. We employ an effective Lagrangian approach and do not a priori assume universality of the coupling of neutrinos to $Z$. We obtain 95% C.L. limits on possible universality violating couplings.

Figure 1

Differential cross section as a function of $y$ for various values of the anomalous couplings. Only one of the anomalous couplings is kept different from their SM value.

Figure 2

95% C.L. sensitivity bound on the parameter space ${\alpha }_{\mu }-{\delta }_1$. Sensitivity bound is the area restricted by the lines. ${\alpha }_{\mu }^{\prime }$ is taken to be zero.

Figure 3

95% C.L. sensitivity bound on the parameter space ${\alpha }_{\mu }^{\prime }-{\delta }_2$. Sensitivity bound is the area restricted by the lines. ${\alpha }_{\mu }$ is taken to be zero.

Figure 4

The area bounded by the solid lines is 95% C.L. sensitivity bound on the parameter space ${\alpha }_{\mu }-{\alpha }_{\mu }^{\prime }$. Dotted lines show the limits obtained from CHARM II data. ${\alpha }_e$ is taken to be zero.

Figure 5

Integrated total cross section of ${\nu }_{\mu }N\to {\nu }_{\mu }X$ as a function of initial neutrino energy for various values of the anomalous couplings. Only one of the anomalous couplings is kept different from their SM value.

Figure 6

The area bounded by the solid (dotted) lines is 95% C.L. sensitivity bound on the parameter space ${\alpha }_{\mu }-{\alpha }_{\mu }^{\prime }$ for NuSOnG (NuTeV) statistics of ${\nu }_{\mu }N\to {\nu }_{\mu }X$ scattering.