https://doi.org/10.1140/epjc/s10052-015-3321-0
Regular Article - Theoretical Physics
Pion couplings to the scalar 
meson
1
Laboratoire de Physique Théorique, Unité Mixte de Recherche 8627 du Centre National de la Recherche Scientifique, CNRS et Université Paris-Sud XI, Bâtiment 210, 91405, Orsay Cedex, France
2
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK
3
Laboratoire de Physique Corpusculaire de Clermont-Ferrand, Unité Mixte de Recherche 6533 CNRS/IN2P3-Université Blaise Pascal, Campus des Cézeaux, 24 avenue des Landais, BP 80026, 63171, Aubière Cedex, France
* e-mail: benoit.blossier@th.u-psud.fr
Received:
28
October
2014
Accepted:
17
February
2015
Published online:
4
March
2015
We present two-flavor lattice QCD estimates of the hadronic couplings 
and 
that parametrize the non-leptonic decays 
and 
. We use CLS two-flavor 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 
(
) state from the 
(
) 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 
-wave states are involved.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
