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Pion couplings to the scalar B meson

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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.

fields

hep-lat 1

years

2024 1

verdicts

CONDITIONAL 1

representative citing papers

Hadronic decay of vector charmonium from the lattice

hep-lat · 2024-11-15 · conditional · novelty 6.0

The ratio method, tuned with twisted boundary conditions, extracts a psi(3770) -> D D mixing amplitude from two N_f=2 ensembles and gives Gamma = 24.2(6.4) MeV, but with unquantified systematic errors.

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  • Hadronic decay of vector charmonium from the lattice hep-lat · 2024-11-15 · conditional · none · ref 17 · internal anchor

    The ratio method, tuned with twisted boundary conditions, extracts a psi(3770) -> D D mixing amplitude from two N_f=2 ensembles and gives Gamma = 24.2(6.4) MeV, but with unquantified systematic errors.