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Using observations made with MOSFIRE on Keck I as part of the ZFIRE survey,we present the stellar mass Tully-Fisher relation at 2.0 < z < 2.5. The samplewas drawn from a stellar mass limited, Ks-band selected catalog from ZFOURGEover the CANDELS area in the COSMOS field. We model the shear of the Halphaemission line to derive rotational velocities at 2.2X the scale radius of anexponential disk (V2.2). We correct for the blurring effect of atwo-dimensional PSF and the fact that the MOSFIRE PSF is better approximated bya Moffat than a Gaussian, which is more typically assumed for natural seeing.We find for the Tully-Fisher relation at 2.0 < z < 2.5 that logV2.2 =(2.18 +/-0.051)+(0.193 +/- 0.108)(logM/Msun - 10) and infer an evolution of thezeropoint of Delta M/Msun = -0.25 +/- 0.16 dex or Delta M/Msun = -0.39 +/- 0.21dex compared to z = 0 when adopting a fixed slope of 0.29 or 1/4.5,respectively. We also derive the alternative kinematic estimator S0.5, with abest-fit relation logS0.5 =(2.06 +/- 0.032)+(0.211 +/- 0.086)(logM/Msun - 10),and infer an evolution of Delta M/Msun= -0.45 +/- 0.13 dex compared to z < 1.2if we adopt a fixed slope. We investigate and review various systematics,ranging from PSF effects, projection effects, systematics related to stellarmass derivation, selection biases and slope. We find that discrepancies betweenthe various literature values are reduced when taking these into account. Ourobservations correspond well with the gradual evolution predicted bysemi-analytic models.

ZFIRE: The Evolution of the Stellar Mass Tully-Fisher Relation to Redshift 2.0 < Z < 2.5 with MOSFIRE