Asymptotic SU(3), Superconvergence, and the $K_{l 3}$ Form-Factor $F_{+}$

Assuming that in the asymptotic region of large

S

, the

π_{l 3}

and

K_{l 3}

form factors

f (S)

and

F_{+} (S)

are related by the SU(3) symmetry, a superconvergence relation is suggested, from which, on saturation by the

ρ

and the

K^{*}

, we obtain the approximate result

F_{+} (0) = - \frac{(\frac{1}{\sqrt{2}}) {M_{ρ}}^{2}}{{M_{K^{*}}}^{2}}

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Asymptotic SU(3), Superconvergence, and theKl3Form-FactorF+