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Peláez Sagredo, José Ramón and Rios, G. (2010) Chiral extrapolation of light resonances from one and twoloop unitarized chiral perturbation theory versus lattice results. Physical review D, 82 (11). ISSN 15507998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.82.114002
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http://journals.aps.org  Publisher 
Abstract
We study the pion mass dependence of the ρ(770) and f_0(600) masses and widths from one and twoloop unitarized chiral perturbation theory ( ChPT). We show the consistency of oneloop calculations with lattice results for the M_ρ, f_π and the isospin2 scattering length a20. Then, we develop and apply the modified inverse amplitude method formalism for twoloop ChPT. In contrast to the f_0(600), the ρ(770) is rather sensitive to the twoloop ChPT parametersour main source of systematic uncertainty. We thus provide twoloop unitarized fits constrained by lattice information on M_ρ, f_π, by the q q̅ leading 1/N_c behavior of the ρ and by existing estimates of lowenergy constants. These fits yield relatively stable predictions up to m_π ̴̲ 300350 MeV for the rho coupling and width as well as for all the f_0(600) parameters. We confirm, to two loops, the weak m_π dependence of the rho coupling and the KawarabayashiSuzukiRiazuddinFayyazuddin relation, and the existence of two virtual f_0(600) poles for sufficiently high m_π. At two loops one of these poles becomes a bound state when m_π is somewhat larger than 300 MeV.
Item Type:  Article 

Additional Information:  ©2010 The American Physical Society. 
Uncontrolled Keywords:  Pipi scattering; Scalar mesons; Gevc; Dispersionrelations; High statistics; Formfactors; Lowenergy; Oneloop; Sigma; Lagrangians 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  35071 
Deposited On:  19 Jan 2016 17:30 
Last Modified:  10 Dec 2018 15:09 
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