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The shape of the $B_s^0\rightarrow D_s^{*-}\mu^+\nu_{\mu}$ differential decayrate is obtained as a function of the hadron recoil using proton-protoncollision data at a centre-of-mass energy of 13 TeV, corresponding to anintegrated luminosity of 1.7 fb$^{-1}$ collected by the LHCb detector. The$B_s^0\rightarrow D_s^{*-}\mu^+\nu_{\mu}$ decay is reconstructed through thedecays $D_s^{*-}\rightarrow D_s^{-}\gamma$ and $D_s^{-}\rightarrowK^-K^+\pi^-$. The differential decay rate is fitted with theCaprini-Lellouch-Neubert (CLN) and Boyd-Grinstein-Lebed (BGL) parametrisationsof the form factors, and the relevant quantities for both are extracted.

Measurement of the shape of the $B_s^0\rightarrow D_s^{*-}\mu^{+}\nu_{\mu}$ differential decay rate