The $Kπ$ form factors from Analyticity and Unitarity

Details The $Kπ$ form factors from Analyticity and Unitarity The $Kπ$ form factors from Analyticity and Unitarity

2012-02-24

arxiv.org/abs/1202.5399v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 5 figures; Seminar given at DAE-BRNS Workshop on Hadron Physics Bhabha Atomic Research Centre, Mumbai, India October

Scientific paper

Analyticity and unitarity techniques are employed to obtain bounds on the shape parameters of the scalar and vector form factors of semileptonic $K_{l3}$ decays. For this purpose we use vector and scalar correlators evaluated in pQCD, a low energy theorem for scalar form factor, lattice results for the ratio of kaon and pion decay constants, chiral perturbation theory calculations for the scalar form factor at the Callan-Treiman point and experimental information on the phase and modulus of $K\pi $ form factors up to an energy $\tin=1 {\rm GeV}^2$. We further derive regions on the real axis and in the complex-energy plane where the form factors cannot have zeros.

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