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

Richard Lebed, Karl Schilcher

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K → πℓν 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 languageEnglish (US)
Pages (from-to)341-348
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume430
Issue number3-4
StatePublished - Jul 2 1998
Externally publishedYes

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perturbation theory
quantum chromodynamics
decay
parameterization
form factors
quarks
scalars

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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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.

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