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
N1 - Funding Information:
We thank the Theory Group of the University of California San Diego for their hospitality, where much of this work was done, and especially Ben Grinstein for comments on the manuscript. R.F.L. acknowledges the support of Department of Energy under contracts Nos. DOE-FG03-97ER40506 and DE-AC05-84ER40150. K.S. acknowledges partial support by the Volkswagen-Stiftung.
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
SN - 0370-2693
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
IS - 3-4
ER -