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

Abstract

We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K --> πl ν_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.

10 pages, latex (revtex)

References in corpus (2)

• Precision Corrections to Dispersive Bounds on Form Factors
• How small can the light quark masses be?

Cited by in corpus (4)

• V_us and m_s from hadronic tau decays
• Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
• Improving the phenomenology of K_{l3} form factors with analyticity and unitarity
• Extraction of m_s and |V_us| from Hadronic Tau Decays