Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-10-15
Nucl.Phys. B490 (1997) 239-271
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 5 figures, uses epsf, 39 pages, partially rewritten, more information about $\mu$ dependence included
Scientific paper
10.1016/S0550-3213(97)00107-7
The unknown constants in Chiral Perturbation Theory needed for an all orders analysis of the polarizabilities and electromagnetic corrections to the masses of the pseudo-Goldstone bosons are estimated at leading order in $1/N_c$. We organize the calculation in an $1/N_c$-expansion and separate long- and short-distance physics contributions by introducing an Euclidean cut-off. The long-distance part is evaluated using the ENJL model and the short-distance part using perturbative QCD and factorization. We obtain very good matching between both. We then include these estimates in a full Chiral Perturbation Theory calculation to order $e^2$ $p^2$ for the masses and $p^6$ for the polarizabilities. For the electromagnetic corrections to the masses, we confirm a large violation of Dashen's theorem getting a more precise value for this violation. We make comparison with earlier related work. Some phenomenological consequences are discussed too.
Bijnens Johan
Prades Joaquim
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