The theory of hadron interaction is quantum chromodynamics (QCD). However, at low energies perturbative methods cannot be applied since the coupling constant becomes very large. One method uses a low energy effective model, Chiral Perturbation Theory (CHPT), which is a rigorous methodology for QCD in the low-energy regions. The predictive power of ChPT can be stringently tested by the form factors of the simplest semileptonic decay Kl3[1]. For the calculation of the Kl3 form factors, a parameterization in terms of the form factors f+ and f0 which are associated with vector and scalar exchange, respectively, are convenient. The form factor f0 is related to f+ and f- through |
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The Kμ3 and Ke3
events were identified
by measuring μ+s and e+s
masses, as shown in a figure.
The Γ(Kμ3)/Γ(Ke3)
ratio can be written as,
Γ(Kμ3)/Γ(Ke3)
= N(Kμ3) / N(Ke3) •
Ω(Ke3)/Ω(Kμ3)
,
where N and Ω are the number of accepted events and the detector acceptance obtained by a Monte Carlo simulation, respectively. The Γ(Kμ3)/Γ(Ke3) value and the associated λ0 parameter with the μ-e universality assumption were determined to be [3]
which is consistent with the ChPT prediction. |
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