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arxiv: 1410.3409 · v2 · pith:B3B4ABGKnew · submitted 2014-10-13 · ✦ hep-lat · hep-ph

Pion couplings to the scalar B meson

classification ✦ hep-lat hep-ph
keywords couplingslatticestatestatesbringscalculatedcontributioncorrelation
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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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