  The popular waveform templates of extreme-mass-ratio inspirals usually omit
the mass-ratio corrections in the conservative dynamics, and employ adiabatic
approximation to include the radiation reaction. With the help of
effective-one-body dynamics, we investigate the influence of mass-ratio
corrections in the conservative part on the gravitational waves. We find that
for the extra-relativistic orbits, the mass-ratio corrections can produce
obvious orbital dephasing even for very small mass-ratio and then affect the
waveforms. More importantly, it is noted that omitting the mass-ratio
corrections in waveform templates may induce a fake signal of deviation from
general relativity.
