TY - JOUR

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

AU - Lebed, Richard F.

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.

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U2 - 10.1016/S0370-2693(98)00529-2

DO - 10.1016/S0370-2693(98)00529-2

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 -