Consistency constraints on m_s from QCD dispersion relations and chiral perturbation theory in K_{l3} decays

Details Consistency constraints on m_s from QCD dispersion relations and chiral perturbation theory in K_{l3} decays Consistency constraints on m_s from QCD dispersion relations and chiral perturbation theory in K_{l3} decays

1997-10-27

arxiv.org/abs/hep-ph/9710489v1

Phys.Lett. B430 (1998) 341-348

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, latex (revtex)

Scientific paper

10.1016/S0370-2693(98)00529-2

We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K --> \pi l \nu_l to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation incorporates up to four-loop corrections, while the hadronic side uses a recently developed parameterization constructed explicitly to satisfy the dispersive constraints. Using chiral perturbation theory (\chiPT) as a model for soon-to-be measured data, we find a series of lower bounds on m_s increasing with the accuracy to which one believes \chiPT to represent the full QCD result.

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