3rd ComHEP: Colombian Meeting on High Energy Physics (Cali, Colombia)

$\rho$ mesons in the large $N_f$

Not scheduled

15m

Auditorio Auxiliar del Aula Máxima (Bloque 3, Piso 4)) (Santiago de Cali, Colombia)

Parallel talk

Speaker

Mr Daniel Castro (Universidad Nacional de Colombia)

Description

We reconsider the old attempts to describe effectively the interactions of light vectorial resonances as Yang-Mills fields of a hidden local symmetry. Coupling the vectors to pions and other light pseudoscalars in the framework of the large $N_f$ limit ($N_f$ being the number of isospin flavors) we calculate corrections to the pion form factors and pion-pion scattering amplitudes in energy regimes above the typical chiral scale allowed by chiral models involving only pions and photons. We reproduce the $\rho$ dominance of the pion electromagnetic form factor and other phenomenological relations of low energy meson physics in the simple scheme of hidden local symmetries plus large $N_f$.