We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K → πℓνℓ 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 (χPT) as a model for soon-to-be measured data, we find a series of lower bounds on ms increasing with the accuracy to which one believes χPT to represent the full QCD result.
|Original language||English (US)|
|Number of pages||8|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Jul 2 1998|
ASJC Scopus subject areas
- Nuclear and High Energy Physics