Lattice QCD study of Bₛ→ Dₛ ℓ νℓ decay near zero recoil

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We study the hadronic matrix elements describing the Bₛ → Dₛℓ νℓ decay in and beyond the Standard Model. By using the twisted mass QCD on the lattice with Nf=2 dynamical flavors we compute the normalization Gₛ(1) of the form factor dominating Bₛ→ Dₛ ℓ νℓ in the SM. We also make the first lattice determination of F₀(q²)/F+(q²) and Fₜ(q²)/F+(q²) near zero recoil (near q² max). We briefly discuss the non-strange case B → Dℓ νℓ as well.