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A sensitivity study of the unbinned angular analysis of the $B\toD^*(D\pi)\ell \nu_\ell$ decay is presented. In the analysis, it is shown thatthe Wilson coefficient of the right-handed vector current, $C_{V_R}$, can bemeasured to precision of 2-4$\%$ using either the full set of normalisedangular observables or the forward-backward asymmetry $A_{FB}$ of the chargedlepton in 10 $w$ bins. Such angular measurements are independent of the$V_{cb}$ puzzle.

Unbinned Angular Analysis of $B\to D^*(D\pi)\ell \nu_\ell$ and $C_{V_R}$