  Crucial developments in neutrino physics would be the determination of the
mass hierarchy (MH) and measurement of the CP phase in the leptonic sector. The
patterns of the transition probabilities $P(\nu_\mu \rightarrow \nu_\tau)$ and
$P(\bar{\nu}_\mu \rightarrow \bar{\nu}_\tau)$ are sensitive to these
oscillation parameters. An asymmetry parameter can be defined as the difference
of these two probabilities normalized to their sum. The profile of the
asymmetry parameter gives a clear signal of the mass ordering as it is found to
be positive for inverted hierarchy and negative for normal hierarchy. The
asymmetry parameter is also sensitive to the CP phase. We consider the effects
of non-standard neutrino interactions (NSI) on the determination of the mass
hierarchy. Since we assume the largest new physics effects involve the $\tau$
sector only, we ignore NSI in production and study the NSI effects in detection
as well as along propagation. We find that the NSI effects can significantly
modify the prediction of the asymmetry parameter though the MH can still be
resolved.
