Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results
| dc.contributor.author | Peláez Sagredo, José Ramón | |
| dc.contributor.author | Rios, G. | |
| dc.date.accessioned | 2023-06-20T04:02:25Z | |
| dc.date.available | 2023-06-20T04:02:25Z | |
| dc.date.issued | 2010-11-01 | |
| dc.description | ©2010 The American Physical Society. We thank C. Hanhart for useful discussions. Work partially supported by Spanish Ministerio de Educación y Ciencia research Contract Nos. FPA2007-29115-E, FPA2008-00592, and FIS2006- 03438, U. Complutense/ Banco Santander Grant Nos. PR34/07-15875-BSCH and UCM-BSCH GR58/08 910309. We acknowledge the support of the European Community-Research Infrastructure Integrating Activity Study of Strongly Interacting Matter (acronym HadronPhysics2, Grant Agreement No. 227431) under the Seventh Framework Programme of EU. | |
| dc.description.abstract | We study the pion mass dependence of the ρ(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_ρ, f_π 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 ρ(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_ρ, f_π, by the q q̅ leading 1/N_c behavior of the ρ and by existing estimates of low-energy constants. These fits yield relatively stable predictions up to m_π ̴̲ 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_π 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_π. At two loops one of these poles becomes a bound state when m_π is somewhat larger than 300 MeV. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Unión Europea. FP7 | |
| dc.description.sponsorship | Ministerio de Educacion y Ciencia | |
| dc.description.sponsorship | Universidad Complutense/Banco Santander | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/35071 | |
| dc.identifier.doi | 10.1103/PhysRevD.82.114002 | |
| dc.identifier.issn | 1550-7998 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevD.82.114002 | |
| dc.identifier.relatedurl | http://journals.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/44838 | |
| dc.issue.number | 11 | |
| dc.journal.title | Physical review D | |
| dc.language.iso | eng | |
| dc.publisher | Amer Physical Soc | |
| dc.relation.projectID | HadronPhysics2 (227431) | |
| dc.relation.projectID | FPA2007-29115-E | |
| dc.relation.projectID | FPA2008-00592 | |
| dc.relation.projectID | FIS2006-03438 | |
| dc.relation.projectID | PR34/07-15875-BSCH | |
| dc.relation.projectID | UCM-BSCH GR58/08 910309 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Pi-pi scattering | |
| dc.subject.keyword | Scalar mesons | |
| dc.subject.keyword | Gev-c | |
| dc.subject.keyword | Dispersion-relations | |
| dc.subject.keyword | High statistics | |
| dc.subject.keyword | Form-factors | |
| dc.subject.keyword | Low-energy | |
| dc.subject.keyword | One-loop | |
| dc.subject.keyword | Sigma | |
| dc.subject.keyword | Lagrangians | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results | |
| dc.type | journal article | |
| dc.volume.number | 82 | |
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