Integrated H- and K-band spectra extracted from SINFONI datacubes of XID36 (top), XID419 (middle), and XID614 (bottom), with a radius aperture of 0.25″, after subtracting continuum emission that was modelled with a first-degree polynomial. The data are shown in black, and the total emission-line model is overplotted in red. For multi-Gaussian modellings, we separately plot the narrow systemic (light blue) and broad high-velocity components (green) that are associated with outflows. In the top right panel, the solid and dashed green lines represent the outflow component of Hα and [N II] doublet, respectively. The mean velocity v and the velocity dispersion σ values of each Gaussian component are displayed. The shaded grey regions indicate masked channels that are contaminated by sky line residuals, and the vertical dotted lines mark the rest-frame emission line wavelengths at the redshift of each source, as computed in Sect. 3.1. Below each main panel, a second panel shows the corresponding residuals (i.e. data–model).