Improving the phenomenology of K_{l3} form factors with analyticity and unitarity

Details Improving the phenomenology of K_{l3} form factors with analyticity and unitarity Improving the phenomenology of K_{l3} form factors with analyticity and unitarity

2010-08-05

arxiv.org/abs/1008.0925v2

Phys.Rev.D82:094018,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 10 figures, uses revtex; revised version corresponding to that accepted by Physical Review D; references and explana

Scientific paper

10.1103/PhysRevD.82.094018

The shape of the vector and scalar K_{l3} form factors is investigated by exploiting analyticity and unitarity in a model-independent formalism. The method uses as input dispersion relations for certain correlators computed in perturbative QCD in the deep Euclidean region, soft-meson theorems, and experimental information on the phase and modulus of the form factors along the elastic part of the unitarity cut. We derive constraints on the coefficients of the parameterizations valid in the semileptonic range and on the truncation error. The method also predicts low-energy domains in the complex $t$-plane where zeros of the form factors are excluded. The results are useful for K_{l3} data analyses and provide theoretical underpinning for recent phenomenological dispersive representations for the form factors.

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