使用KTeV数据对K_{L mu3}和K_{L e3}标量和矢量形状因子进行色散分析
Dispersive analysis of K_{L mu3} and K_{L e3} scalar and vector form factors using KTeV data
摘要：
利用已发表的K_L --> pi^{ \pm } e^{ \mp } nu和K_L --> pi^{ \pm } mu^{ \mp } nu衰变的KTeV样品[1]，我们基于色散参数化对标量和矢量形状因子进行了再分析[2，3]。我们得到相空间积分I^e_K = 0.15446 \pm 0.00025和I^{mu}_K = 0.10219 \pm 0.00025。对于标量形状因子参数化，唯一的自由参数是Callan-Treiman点（C）处的归一化形状因子值;我们的最佳拟合结果为ln C = 0.1915 \pm 0.0122。我们还研究了C对矢量形状因子的不同参数化的敏感性。相空间积分和C的结果，然后用于进行测试的标准模型。最后，我们将所得结果与格点量子色动力学对F_K/F_pi和f_+（0）的计算结果进行了比较。
英文摘要：
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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