Quenched and Partially Quenched Chiral Perturbation Theory for Vector and Tensor Mesons

Details Quenched and Partially Quenched Chiral Perturbation Theory for Vector and Tensor Mesons Quenched and Partially Quenched Chiral Perturbation Theory for Vector and Tensor Mesons

1997-08-22

arxiv.org/abs/hep-ph/9708432v3

Nucl.Phys. B528 (1998) 303-321

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 21 pages, 3 figures, several improved discussions added Ref-no.: CLNS 97/1506, IASSNS-HEP 87-89, SNUTP 97-102

Scientific paper

10.1016/S0550-3213(98)00313-7

Quenched and partially quenched chiral perturbation theory for vector mesons is developed and is used to extract chiral loop correction to the $\rho$ meson mass. Connections to fully quenched and totally unquenched chiral perturbation theory results are discussed. It is also shown that (partially) quenched perturbation theory for tensor mesons can be formulated analogously, and the chiral corrections for tensor meson masses are directly proportional to their counterparts in the vector meson sector. Utilizing this observation and non-relativistic quark model, we point out that mass difference $(m_{a_2} - {3 \over 2} m_\rho)$ is ``quenching-insensitive'' in large-$N_c$ limit. This quantity may be used for normalization of mass scale in lattice QCD calculations.

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