### 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) |
---|---|

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 |

State | Published - Jul 2 1998 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Consistency constraints on m _{s} from QCD dispersion relations and chiral perturbation theory in K_{ℓ3} decays.** / Lebed, Richard; Schilcher, Karl.

Research output: Contribution to journal › Article

_{s}from QCD dispersion relations and chiral perturbation theory in K

_{ℓ3}decays',

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 430, no. 3-4, pp. 341-348.

}

TY - JOUR

T1 - Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

AU - Lebed, Richard

AU - Schilcher, Karl

PY - 1998/7/2

Y1 - 1998/7/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0347244442&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347244442&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0347244442

VL - 430

SP - 341

EP - 348

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

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

SN - 0370-2693

IS - 3-4

ER -