# Lattice study of pion-pion scattering using Nf=2+1 Wilson improved quarks with masses down to their physical values

2 CPT - E1 Physique des particules
CPT - Centre de Physique Théorique - UMR 7332
Abstract : We use 2HEX smeared gauge configurations generated with an $\mathrm{N}_\mathrm{f}\mathrm{=2+1}$ clover improved Wilson action to investigate $\pi\pi$ scattering in the $\rho$ channel. The range of lattice spacings (0.054 to 0.12 fm) and space-like extents (32 and 48) allows us to extract the scattering parameters through the volume dependence of the $\pi\pi$-state energies according to L\"uscher's formalism. The pion masses (134 to 300 MeV) are light enough to allow the decay of the rho and the level repulsion observed indicates that our data are sensitive to the interaction. We analyse our data with a multi-channel GEVP variational formula. Our results are in good agreement with the experimental values and consistent with a weak pion mass dependence of the $\rho\pi\pi$ coupling constant.
Document type :
Conference papers
Domain :

https://hal.archives-ouvertes.fr/hal-01304448
Contributor : Laurent Lellouch <>
Submitted on : Tuesday, April 19, 2016 - 6:10:38 PM
Last modification on : Wednesday, January 23, 2019 - 2:38:30 PM

### Identifiers

• HAL Id : hal-01304448, version 1
• ARXIV : 1410.8447

### Citation

Thibaut Metivet, On Behalf of The Budapest-Marseille-Wuppertal Collaboration. Lattice study of pion-pion scattering using Nf=2+1 Wilson improved quarks with masses down to their physical values. 32nd International Symposium on Lattice Field Theory (Lattice 2014), Jun 2014, New York, United States. ⟨hal-01304448⟩

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