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Dispersive analysis of K_{L mu3} and K_{L e3} scalar and vector form factors using KTeV data

Abstract : Using the published KTeV samples of K_L --> pi^{\pm} e^{\mp} nu and K_L --> pi^{\pm} mu^{\mp} nu decays [1], we perform a reanalysis of the scalar and vector form factors based on the dispersive parameterization [2,3]. We obtain phase space integrals I^e_K = 0.15446 \pm 0.00025 and I^{mu}_K = 0.10219 \pm 0.00025. For the scalar form factor parameterization, the only free parameter is the normalized form factor value at the Callan-Treiman point (C); our best fit results in ln C = 0.1915 \pm 0.0122. We also study the sensitivity of C to different parametrizations of the vector form factor. The results for the phase space integrals and C are then used to make tests of the Standard Model. Finally, we compare our results with lattice QCD calculations of F_K/F_pi and f_+(0).
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http://hal.in2p3.fr/in2p3-00454551
Contributor : Sophie Heurteau <>
Submitted on : Tuesday, February 9, 2010 - 2:51:05 PM
Last modification on : Wednesday, September 23, 2020 - 4:38:16 AM

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V. Bernard, M. Oertel, E. Passemar, J. Stern, E. Abouzaid, et al.. Dispersive analysis of K_{L mu3} and K_{L e3} scalar and vector form factors using KTeV data. Physical Review D, American Physical Society, 2010, 81, pp.052001. ⟨10.1103/PhysRevD.81.052001⟩. ⟨in2p3-00454551⟩

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