


Albaladejo Serrano, Miguel; Oller Berber, José Antonio; Oset Báguena, Eulogio
Perfil; Ríos, G.; Roca Zamora, Luis


This document is a artículoDate2012


Este documento está disponible también en :
http://dx.doi.org/10.1007/JHEP08(2012)071


Este documento está disponible también en :
http://hdl.handle.net/10550/35425


We study theoretically the effects of finite volume for pipi scattering in order to extract physical observables for infinite volume from lattice QCD. We compare three different approaches for pipi scattering (lowest order BetheSalpeter approach, N/D and inverse amplitude methods) with the aim to study the effects of the finite size of the box in the potential of the different theories, specially the lefthand cut contribution through loops in the crossed t,uchannels. We quantify the error made by neglecting these effects in usual extractions of physical observables from lattice QCD spectra. We conclude that for pipi phaseshifts in the scalarisoscalar channel up to 800 MeV this effect is negligible for box sizes bigger than 2.5m_pi^1 and of the order of 5% at around 1.52m_pi^1. For isospin 2 the finite size effects can reach up to 10% for that energy. We also quantify the error made when using the standard Luscher method to extract physical observables from lattice QCD, which is widely used in the literature but is an approximation of the one used in the present work.


Albaladejo, M. Oller, J.A. Oset Báguena, Eulogio Ríos, G. Roca, L. 2012 Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD Journal of High Energy Physics 08 8 0711 07122 

http://dx.doi.org/10.1007/JHEP08(2012)071
