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Pion couplings to the scalar B meson

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arxiv 1410.3409 v2 pith:B3B4ABGK submitted 2014-10-13 hep-lat hep-ph

classification hep-lathep-ph
keywords couplingslatticestatestatesbringscalculatedcontributioncorrelation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present two-flavor lattice QCD estimates of the hadronic couplings $g_{B^*_0 B \pi}$ and $g_{B_1^* B_0^* \pi}$ that parametrise the non leptonic decays $B^*_0 \to B \pi$ and $B^*_1 \to B_0^* \pi$. 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 $B \pi$($B^*\pi$) 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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