and neutrino properties \cite{geer,abp,bgw,suite}. In a classes:\cite{janetc} \cite{SKatm,SKLyon}. These results suggest the oscillation $\nu_{\mu} \item The LSND experiment \cite{LSND} reports the observation of From the celebrated two-neutrino experiment \cite{twonu} to modern discovery of weak neutral-current interactions \cite{weaknc}, and the strong interactions \cite{rmpnurev}. The determinations of the % \cite{sgeer} % % oscillations.\cite{nucp} % by~\cite{gaisser}: and is approximately\cite{CCFRsigma}: Figure~\ref{tau_fig} shows the calculated~\cite{goodman} Ref.~\cite{casper} are used, the predicted event rates are 20--30\% masses is generally regarded to be the seesaw mechanism~\cite{seesaw}, %evidence for solar $\nu_e$ disappearance \cite{sol} and atmospheric %$\nu_\mu$ disappearance \cite{kam} - \cite{macro} has been observed, while %reactor $\bar{\nu}_e$ disappearance~\cite{chooz} has not been seen. %$\nu_\mu \rightarrow \nu_\tau$ appearance interpretation~\cite{learned}. %collaboration \cite{lsnd} but have not been confirmed or ruled out by the %KARMEN group \cite{karmen}. Scenarios will be presented unitary Maki-Nagawa-Sakata (MNS) matrix\cite{mns}. We the baseline. Some examples from Ref.~\cite{shrock} are shown in The CHOOZ results~\cite{chooz} imply: \nu_\tau$ \cite{learned}, and in the one-mass-scale-dominant best fit from the SuperK experiment \cite{sk} yields value of $\delta m^2_{atm}$, $2.5 \times 10^{-3}$ \cite{sk}; we shall use Note that the Jarlskog J-factor~\cite{jarlskog} LSND appearance results~\cite{lsnd} by a Schwarz inequality on the leptonic mixing elements \cite{bilenky}: Heidelberg-Moscow $\beta\beta_{0\nu}$ decay experiment \cite{h-m} giving and is conveniently chosen to be \cite{donini} \nu + e^-$ elastic scattering to be consistent with SuperK measurements~\cite{sk}. The CHOOZ constraint~\cite{chooz} from $P(\bar{\nu}_e \rightarrow while the LSND constraint \cite{lsnd} from $P(\nu_\mu \rightarrow \nu_e)$ is: SuperK is convincing \cite{evidence}. at near maximal mixing, $\sin^2 2\theta \sim 1$ \cite{Kajita}. is disfavored by the SuperK data and is ruled out by the CHOOZ~\cite{CHOOZ} and PaloVerde \cite{PaloVerde} experiments. on that exist~\cite{Learned,Kajita}. K2K \cite{K2K} will cover $\delta m^2 > 2 \times 10^{-3}~{\rm eV}^2$ after 3--5 years of running, and MINOS \cite{MINOS} will 2005), OPERA \cite{OPERA} and ICANOE \cite{ICANOE} both aim primarily (30~kt calorimeter)~\cite{MONOLITH} or AQUARICH (novel 1~Mt Water Cherenkov)~\cite{AQUARICH}. They may study atmospheric neutrinos and LSND experiment \cite{LSND}, Mini-BooNE \cite{Mini-BooNE} is expected to cover the entire preferred region of limits from CHOOZ~\cite{CHOOZ} and Palo Verde \cite{PaloVerde} require \cite{Valle}), The SNO \cite{SNO} detector Borexino \cite{Borexino} neutrinos (esp. $pp$): HELLAZ, HERON, LENS, etc (see \cite{Lanou} for KamLAND \cite{KamLAND} will look for ring, at a baseline length of 2800km \cite{bgrw00}. CCFR/NuTeV calorimeter~\cite{nutevdet}, but with the addition of a toroidal collaboration~\cite{nutevpub}, modified to include particle tracing in the ~\cite{nutevdet}, and is approximately given by This has been proposed~\cite{forty} for use spacer~\cite{strolin}. 2~T field and a 1.2~mm thick spacer \cite{para}. magnet, which has a magnetic field ranging from 2 to 5 Tesla~\cite{para}. According to the OPERA studies~\cite{opera}, Refs.~\cite{cerv00, bgrw00, bern00, camp00}. wrong--sign muon~\cite{geer98}. and determine the pattern of neutrino masses~\cite{bgrw99}. It is useful to define~\cite{bgrw00} the $\sin^22\theta_{13}$ $L = 2800$~km. The calculation~\cite{bgrw00} $\delta m^2_{32}$ to be unambiguously determined~\cite{bgrw99}. The reach improves with energy (approximately $\sim E^{-1.6}$~\cite{bgrw00}) section~\cite{camp00}. The main advantage of downstream of a 30~GeV neutrino factory~\cite{camp00}. give consistent results~\cite{camp00}, and that the uncertainties 10\%~\cite{camp00,cerv00}. This provides a quantitative test of the by $10^{21} \mu^-$ decays~\cite{cerv00}. Fit results in the by $10^{20} \mu^-$ decays~\cite{camp00}. neutrino factory in which there are $10^{21} \mu$ decays~\cite{cerv00}. driven by the sub--leading $\delta m^2$ scale might be observed~\cite{bgrw00}. section~\cite{bgrw00}. systematic uncertainties will be significant~\cite{bern00}. followed by $10^{20} \mu^-$ decays~\cite{camp00}. The sensitivity to the neutrino factory~\cite{cerv00,bgrw00}. by $10^{21} \mu^-$ decays in the beam--forming straight section~\cite{cerv00}. no experiment has had sufficient statistics to perform such an analysis with high accuracy\cite{VallageThesis}. $Q^{2} \gt 0$. According to the Adler theorem \cite{Adler} the cross present in $\mu$/e - A scattering. Boros et al \cite{Boros} predict In a more quantitative analysis, Kulagin \cite{Kulagin} used a between valence and sea quarks. Eskola et al \cite{Eskola} quantified this \cite{SAMPLE} with very low statistics. A neutrino factory neutron and hyperon beta decays \cite{betadecays}. A very promising target technology is the 'ICE' target \cite{ICE}, $\sim 5\times 10^{-3}$ \cite{E791,CLEO}. BaBar expects to have sensitivity to luminosity \cite{BaBar}. These measurements are ultimately limited by currently limited by statistics\cite{nutev-wma}, although difficult systematics that will ultimately limit the measurements\cite{numcbook}. observed approximately $5000$ events \cite{CHARMII}. experiment\cite{ICANOE} might be ideal for such a measurement. Another For an isoscalar target, the neutral current rates can be related to the charged current rates via \cite{LL-SMITH}: of neutrino and anti-neutrino rates \cite{ref:paschos} but with a consequent The most precise measurement to date is from the NuTeV collaboration \cite{NuTeV:prelim} of mixing with their lighter neutrino counterparts \cite{GLR,Shrock}. The been previously calculated \cite{Bolton}. Since the decay E815 (NuTeV) \cite{NuTeVNHL,NuTeVQ0}. $6.0\times 10^{-6}$ in the low mass region \cite{PDB,Shrock}. to include a right--handed neutrino or with left--handed neutrinos which have mass, the expected magnitude of the \cite{shrock} neutrino magnetic moment \cite{frank} and calculations that invoke large extra dimensions easily yield $10^{-11}\mu _{B}$ or larger \cite{ng}. neutrinos \cite{beacom}\cite{mu_e_limit} and $\mu _{\nu }\leq 7.4\times 10^{-10}\mu _{B}$ for muon neutrinos \cite{mu_mu_limit}. Astrophysical stars \cite {star1} implies $\mu _{\nu }\le 10^{-11}\mu _{B}$, while the neutrino energy loss rate from supernova 1987a \cite{star2} We have explored the possibility \cite{norbert} of using two existing number of CC events ($ N$) observed in a 50 kton \cite{geer_2day} far $BR(\mu \to e \bar{\nu}_\mu \nu_e) < 1.3\%$\cite{PDG}. Indirect limits are decay rate has been limited to 8\%\cite{PDG}. constrain electroweak parameters\cite{PDG}. To first order, The experimental determination is\cite{PDG}: on the couplings $\lambda$ are reviewed in Ref.~\cite{dreiner}. Estimates for allowed rates are in progress~\cite{quigg}. emulsion sheets~\cite{emulsion} suggest that we can expect $\tau$