MSW Oscillations - LMA and Subdominant Effects

New physics near the TeV scale could modify neutrino-matter interactions or generate a relatively large neutrino magnetic (transition) moment. Both types of effects have been discussed since the 1970's as alternatives to mass-induced neutrino flavor oscillations. Nowadays, the availability of high-statistics data makes it possible to turn the idea around and ask: How well do the simple mass-induced oscillations describe solar neutrinos? At what level are the above-mentioned nonstandard effects excluded? Can we use solar neutrinos to constrain physics beyond the Standard Model? These notes review the sensitivity of the present-day solar neutrino experiments to the nonstandard neutrino interactions and transition moment and outline progress that may be expected in the near future. Based on a talk given at the Neutrino 2006 conference.