Pion mass effects in the large-n limit of chiral perturbation-theory

dc.contributor.authorDobado González, Antonio
dc.contributor.authorMorales, J.
dc.description© Physical Society. This work was supported in part by the Ministerio de Educacion y Ciencia (Spain) (CICYT Grant No. AEN90-0034) and Colciencias (Colombia). A.D. thanks the CERN Theory Division, where the final part of this work was written, for its kind hospitality
dc.description.abstractWe compute the large N effective action of the O(N + 1)/O(N) nonlinear a model including the effect of the pion mass to order m(pi)(2)/f(pi)(2). This action is more involved than the one corresponding to rr the chiral limit not only due to the pion propagators but also because the chiral symmetry produces new interactions proportional to m(pi)(2)/f(pi)(2). We renormalize the action by including the appropriate infinite set of counterterms and we obtain the renormalization-group equations for the corresponding couplings. Then we study the unitarity properties of the scattering amplitudes. Finally our results are applied to the particular case of the linear a model and also are used to fit the pion scattering phase shifts. In spite of the fact that the model has an infinite number of parameters to fit and, therefore, it does not have predictive power in a strict sense, a particularly simple choice of the couplings produces a good fit of the J = 0 phase shifts.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.sponsorshipMinisterio de Educación y Ciencia (Spain)
dc.description.sponsorshipColciencias (Colombia)
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dc.journal.titlePhysical Review D
dc.publisherAmerican Physical Society
dc.rights.accessRightsopen access
dc.subject.keywordInteracting Higgs Sector
dc.subject.keywordStandard Model
dc.subject.keywordOne Loop
dc.subject.ucmFísica (Física)
dc.subject.unesco22 Física
dc.titlePion mass effects in the large-n limit of chiral perturbation-theory
dc.typejournal article
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