Pion couplings to the scalar B meson

We present two-flavor lattice QCD estimates of the hadronic couplings $g_{B^*_0 B π}$ and $g_{B_1^* B_0^* π}$ that parametrise the non leptonic decays $B^*_0 \to B π$ and $B^*_1 \to B_0^* π$. We use CLS two-flavour gauge ensembles. Our framework is the Heavy Quark Effective Theory (HQET) in the static limit and solving a Generalized Eigenvalue Problem (GEVP) reveals crucial to disentangle the $B^*_0$($B^*_1$) state from the $B π$($B^*π$) state. This work brings us some experience on how to treat the possible contribution from multihadronic states to correlation functions calculated on the lattice, especially when $S$-wave states are involved.

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