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We present a novel unbinned method to combine $B^{\pm} \to DK^{\pm}$ andcharm threshold data for the amplitude-model unbiased measurement of the CKMangle gamma in cases where the D meson decays to a three-body final state. Thenew unbinned approach avoids any kind of integration over the D Dalitz plot, tomake optimal use the available information. We verify the method with simulatedsignal data where the D decays to $K_S \pi^+ \pi^-$. Using realistic samplesizes, we find that the new method reaches the statistical precision on gammaof an unbinned model-dependent fit, i.e. as good as possible and better thanthe widely used model-independent binned approach, without suffering frombiases induced by a mis-modeled D decay amplitude.

A novel unbinned model-independent method to measure the CKM angle $\gamma$ in $B^{\pm} \to DK^{\pm}$ decays with optimised precision