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We report lattice results of $D_s$ meson semi-leptonic decay form factors to$\eta$ and $\eta'$ mesons. This decay process contains disconnected fermionloops, which are challenging in lattice calculations. Our result shows that thedisconnected loops give significant contributions to the form factors.

Lattice calculation of $D_s$ to $\eta^{(\prime)}$ semi-leptonic decay form factors