## Abstract

We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K → πℓν_{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 (_{χ}PT) 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 _{χ}PT to represent the full QCD result.

Original language | English (US) |
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Pages (from-to) | 341-348 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 430 |

Issue number | 3-4 |

DOIs | |

State | Published - Jul 2 1998 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics

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