A moving blade of a turbomachine, having a blade leaf, which comprises a flow leading edge, a flow trailing edge and flow guiding surfaces (15, 16) extending between the flow leading edge and the flow trailing edge for a process medium, having a blade root for mounting the moving blade to a hub body of the turbomachine, wherein the blade root is formed in the manner of a fir tree with at least two projections spaced apart from one another seen in the radial direction, having an inner shroud, which seen in the radial direction, is arranged between the blade leaf and the blade root, having a cooling channel integrated in the blade leaf and the blade root for a cooling medium, wherein the inlet of the cooling channel is formed radially inside on the blade root, the inlet of the cooling channel is formed out of a first inlet channel portion and a second inlet channel portion arranged, seen in the axial direction of the blade root, behind the first inlet channel portion, between which a material web extends, the first inlet channel portion of the cooling channel and the second inlet channel portion of the cooling channel merge into a unified channel portion of the cooling channel which, seen in the radial direction, is arranged radially outside or radially above the uppermost or radially outermost projection of the blade root and radially inside or radially below the inner shroud, the first inlet channel portion of the cooling channel and the second inlet channel portion of the cooling channel run from radially inside to radially outside initially linearly in the radial direction, characterised in that the first inlet channel portion and the second inlet channel portion following thereon, each run in the direction of the unified channel portion of the cooling channel bent or curved, namely in the direction of, with respect to the process medium flow, an upstream or axial front end of the blade root, the first inlet channel portion, in the direction of the upstream or axial front end of the blade root, is curved with a first curvature radius, the second inlet channel portion is curved in the direction of the upstream or axial front end of the blade root with a second curvature radius, the first curvature radius is at least as large, preferentially larger than the second curvature radius. having a blade leaf, which comprises a flow leading edge, a flow trailing edge and flow guiding surfaces (15, 16) extending between the flow leading edge and the flow trailing edge for a process medium, having a blade root for mounting the moving blade to a hub body of the turbomachine, wherein the blade root is formed in the manner of a fir tree with at least two projections spaced apart from one another seen in the radial direction, having an inner shroud, which seen in the radial direction, is arranged between the blade leaf and the blade root, having a cooling channel integrated in the blade leaf and the blade root for a cooling medium, wherein the inlet of the cooling channel is formed radially inside on the blade root, the inlet of the cooling channel is formed out of a first inlet channel portion and a second inlet channel portion arranged, seen in the axial direction of the blade root, behind the first inlet channel portion, between which a material web extends, the first inlet channel portion of the cooling channel and the second inlet channel portion of the cooling channel merge into a unified channel portion of the cooling channel which, seen in the radial direction, is arranged radially outside or radially above the uppermost or radially outermost projection of the blade root and radially inside or radially below the inner shroud, the first inlet channel portion of the cooling channel and the second inlet channel portion of the cooling channel run from radially inside to radially outside initially linearly in the radial direction, characterised in that the first inlet channel portion and the second inlet channel portion following thereon, each run in the direction of the unified channel portion of the cooling channel bent or curved, namely in the direction of, with respect to the process medium flow, an upstream or axial front end of the blade root, the first inlet channel portion, in the direction of the upstream or axial front end of the blade root, is curved with a first curvature radius, the second inlet channel portion is curved in the direction of the upstream or axial front end of the blade root with a second curvature radius, the first curvature radius is at least as large, preferentially larger than the second curvature radius.