Abstract
When the weak and electromagnetic currents are considered to be in the same SU(3) octet, it is possible to derive two sum rules involving leading vector form factors in hyperon semileptonic decays in the limit of exact flavor SU(3) symmetry. According to the Ademollo-Gatto theorem, deviations of these sum rules from this limit are expected to occur due to second-order flavor SU(3) symmetry-breaking effects, which are evaluated within the 1/Nc expansion of QCD. Accordingly, one sum rule acquires no deviations whereas the other one obtains contributions coming from the representation. The sum rules are validated using results obtained in heavy baryon chiral perturbation theory. Up to order in the chiral expansion, the sum rules are fulfilled.
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