Sigma Quattro H has a Sigma SA Bayonet lens mount and currently there are 77 native lenses available for this mount.
The latest released lenses that are compatible with the Quattro H are the Sigma 70-200 F2.8 DG OS HSM S, the Sigma 28mm F1.4 DG HSM A and the Sigma 40mm F1.4 DG HSM A.
Sigma Quattro H doesn't have a sensor based image stabilization system but
30 of these lenses already comes with optical image stabilization.
Since Sigma Quattro H has a APS-H sensor, it has a focal length multiplier of 1.3x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on Quattro H.
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Sigma Quattro H Lenses with Image Stabilization
Sigma Quattro H Lenses with Weather Sealings