Global Analysis of the Strange Vector and Axial Form Factors of the Nucleon and Their Uncertainties

We have studied the strange-quark contributions to the elastic vector and axial form factors of the nucleon, using all available elastic electroweak scattering data sensitive to these contributions. Specifically, we combine elastic $\nu p$ and $\bar{\nu} p$ scattering cross section data from the Brookhaven E734 experiment with elastic $ep$ and quasi-elastic $ed$ and $e-^4$He scattering parity-violating asymmetry data from the SAMPLE, HAPPEx, G0 and PVA4 experiments. We have not only determined these form factors at individual values of momentum-transfer ($Q^2$), as has been done recently, but also have fit the $Q^2$-dependence of these form factors using simple functional forms. We present the results of these fits using existing data, along with some expectations of how our knowledge of these form factors can be improved if a variety of approved and proposed experiments are completed.