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Título:
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Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results
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Autores:
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Peláez Sagredo, José Ramón ;
Rios, G.
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Tipo de documento:
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texto impreso
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Editorial:
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Amer Physical Soc, 2010-11-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We study the pion mass dependence of the ?(770) and f_0(600) masses and widths from one and two-loop unitarized chiral perturbation theory ( ChPT). We show the consistency of one-loop calculations with lattice results for the M_?, f_? and the isospin-2 scattering length a-20. Then, we develop and apply the modified inverse amplitude method formalism for two-loop ChPT. In contrast to the f_0(600), the ?(770) is rather sensitive to the two-loop ChPT parameters-our main source of systematic uncertainty. We thus provide two-loop unitarized fits constrained by lattice information on M_?, f_?, by the q q? leading 1/N_c behavior of the ? and by existing estimates of low-energy constants. These fits yield relatively stable predictions up to m_? ?? 300-350 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_? dependence of the rho coupling and the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation, and the existence of two virtual f_0(600) poles for sufficiently high m_?. At two loops one of these poles becomes a bound state when m_? is somewhat larger than 300 MeV.
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En línea:
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https://eprints.ucm.es/id/eprint/35071/1/pelaezsagredo22libre.pdf
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