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The topological Hall effect (THE) is one of the key signatures oftopologically non-trivial magnetic spin textures, wherein electrons feel anadditional transverse voltage to the applied current. The magnitude of THE isoften small compared to the anomalous Hall effect. Here, we find a large THE of0.9 $\mu\Omega$cm that is of the same order of the anomalous Hall effect in thesingle crystalline antiskyrmion hosting Heusler compound Mn$_{1.4}$PtSn, anon-centrosymmetric tetragonal compound. The THE is highly anisotropic andsurvives in the whole temperature range where the spin structure is noncoplanar(<170 K). The THE is zero above the spin reorientation transition temperatureof 170 K, where the magnetization will have a collinear and ferromagneticalignment. The large value of the THE entails a significant contribution fromthe momentum space Berry curvature along with real space Berry curvature, whichhas never been observed earlier.

Anisotropic Topological Hall Effect with Real and Momentum Space Berry Curvature in the Antiskrymion Hosting Heusler Compound Mn$_{1.4}$PtSn