  In preparation for the next generation of galaxy redshift surveys, and in
particular the year-one data release from the Dark Energy Spectroscopic
Instrument (DESI), we investigate the consistency of a variety of effective
field theory models that describe the galaxy-galaxy power spectra in redshift
space into the quasi-linear regime using 1-loop perturbation theory. These
models are employed in the pipelines \texttt{velocileptors}, \texttt{PyBird},
and \texttt{Folps$\nu$}. While these models have been validated independently,
a detailed comparison with consistent choices has not been attempted. After
briefly discussing the theoretical differences between the models we describe
how to provide a more apples-to-apples comparison between them. We present the
results of fitting mock spectra from the \texttt{AbacusSummit} suite of N-body
simulations provided in three redshift bins to mimic the types of dark time
tracers targeted by the DESI survey. We show that the theories behave similarly
and give consistent constraints in both the forward-modeling and ShapeFit
compressed fitting approaches. We additionally generate (noiseless) synthetic
data from each pipeline to be fit by the others, varying the scale cuts in
order to show that the models agree within the range of scales for which we
expect 1-loop perturbation theory to be applicable. This work lays the
foundation of Full-Shape analysis with DESI Y1 galaxy samples where in the
tests we performed, we found no systematic error associated with the modeling
of the galaxy redshift space power spectrum for this volume.
