Chiral perturbation to one loop including the rho meson

Tanabashi, Masaharu

doi:10.1016/0370-2693(93)91040-T

Chiral perturbation to one loop including the rho meson

Masaharu Tanabashi
(
- KEK, Tsukuba
)

Apr, 1993

15 pages

Published in:

Phys.Lett.B 316 (1993) 534-541

e-Print:

hep-ph/9306237 [hep-ph]

DOI:

10.1016/0370-2693(93)91040-T

Report number:

KEK-TH-349,
KEK-PREPRINT-92-169

View in:

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Abstract:

We formulate the chiral perturbation theory at the one loop level in the effective lagrangian including the

\rho

meson as a dynamical gauge boson of a hidden local symmetry(HLS). The size of radiative correction to the phenomenological parameter

a

of HLS is estimated to be about

10

\%. The complete list of

{\cal O}(E~4)

terms is given and the one loop counter terms are determined explicitly in the

N

flavor model. We also obtain matching conditions to the conventional chiral perturbation of Gasser and Leutwyler in the chiral limit in a renormalization scale independent manner. We find that Gasser--Leutwyler's estimates for

L_{9,10}

are saturated by

\rho

and its one loop contributions without introducing non-minimal couplings of

\pi

-

\rho

system, suggesting the absence of the tree level

a_1

meson contributions.

quantum chromodynamics
perturbation theory: higher-order
symmetry: chiral
effective Lagrangian
rho(770): gauge boson
hidden symmetry: local
radiative correction
renormalization
quark: flavor

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