J. Bijnens et J. Prades, ELECTROMAGNETIC CORRECTIONS FOR PIONS AND KAONS - MASSES AND POLARIZABILITIES, Nuclear physics. B, 490(1-2), 1997, pp. 239-271
The unknown constants in Chiral Perturbation Theory needed for an all
orders analysis of the polarizabilities and electromagnetic correction
s to the masses of the pseudo-Goldstone bosons are estimated at leadin
g order in 1/N-c. We organize the calculation in an 1/N-c expansion an
d separate long- and short-distance physics contributions by introduci
ng a Euclidean cut-off: The long-distance part is evaluated using the
ENJL model and the short-distance part using perturbative QCD and fact
orization. We obtain very good matching between both. We then include
these estimates in a full chiral perturbation theory calculation to or
der e(2)p(2) for the masses and p(6) for the polarizabilities. For the
electromagnetic corrections to the masses, we confirm a large violati
on of Dashen's theorem getting a more precise value for this violation
. We make a comparison with earlier related work, Some phenomenologica
l consequences are discussed too. (C) 1997 Elsevier Science B.V.