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We present the stellar mass ($M_{*}$), and K-corrected $K$-band absolutemagnitude ($M_{K}$) Tully-Fisher relations (TFRs) for sub-samples of the 584galaxies spatially resolved in H$\alpha$ emission by the KMOS Redshift OneSpectroscopic Survey (KROSS). We model the velocity field of each of the KROSSgalaxies and extract a rotation velocity, $V_{80}$ at a radius equal to themajor axis of an ellipse containing 80% of the total integrated H$\alpha$ flux.The large sample size of KROSS allowed us to select 210 galaxies with wellmeasured rotation speeds. We extract from this sample a further 56 galaxiesthat are rotationally supported, using the stringent criterion $V_{80}/\sigma >3$, where $\sigma$ is the flux weighted average velocity dispersion. We findthe $M_{K}$ and $M_{*}$ TFRs for this sub-sample to be $M_{K} / \rm{mag}= (-7.3\pm 0.9) \times [(\log(V_{80}/\rm{km\ s^{-1}})-2.25]- 23.4 \pm 0.2$ , and$\log(M_{*} / M_{\odot})= (4.7 \pm 0.4) \times [(\log(V_{80}/\rm{km\ s^{-1}}) -2.25] + 10.0 \pm 0.3$, respectively. We find an evolution of the $M_{*}$ TFRzero-point of $-0.41 \pm 0.08$ dex over the last $\sim $8 billion years.However, we measure no evolution in the $M_{K}$ TFR zero-point over the sameperiod. We conclude that rotationally supported galaxies of a given dynamicalmass had less stellar mass at $z \sim 1$ than the present day, yet emitted thesame amounts of $K$-band light. The ability of KROSS to differentiate, usingintegral field spectroscopy with KMOS, between those galaxies that arerotationally supported and those that are not explains why our findings are atodds with previous studies without the same capabilities.

The KMOS Redshift One Spectroscopic Survey (KROSS): The Tully-Fisher Relation at z ~ 1