Determination of the branching ratio and form factors of semi-leptonic decay \K IND.L\-> \\pi\ POT.0\ \\pi\ POT.+/-\ e \ANTPOT.-/+ \nü\\.

Author(s)

Edivaldo Moura Santos

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2005-08-24

Examining board members

Renata Zukanovich Funchal; Ivone Freire da Mota e Albuquerque; Sergio Ferraz Novaes; Rogério Rosenfeld; Ronald Cintra Shellard

• Advisor: Renata Zukanovich Funchal

Abstract

We have measured the branching fraction of the \"K IND.L->\"pi\"POT.0\"\"pi\" POT, +/-\" e \"ANTPOT.-/+nu\" decay (\"BR IND.\"K POT.0\"IND.E4\" = [5.19 =/- \"0.09 IND.sist\"] X \"10 POT.-5\"), based on a 4000 candidates sample over a residual background of 143 (3.6%) events. The data was collected by the KTeV experiment at Fermilab. The remaining contamination is consistent with \"K IND.->\"\"pi\"POT.=/-\" e \" ANTPOT.=/-\"nu\"\"gama\" ou \"K IND.L->\"\"pi\"POT.=/-\" e \" ANTPOT.=/-\"nu\" ou \"K IND.L\" ->\"pi\" POT.=/-\" e \" ANTPOT.=/-\"nu\" plus one or two accidental photons, respectively. The leading contribution to the systematic error comes from an observed discrepancy between data/Monte Carlo for the detection efficiency along the kaon beam direction. The \"K IND.L\" ->\"pi\"POT.=/-\" e \" ANTPOT.=/-\"nu\" decay was used as normalization mode for the purpose of branching fraction measurement. Radiative corrections of order \"\"alfa\"IND.QED\" were included into the Monte Carlo, the radiative fraction being crosschecked through an analytical calculation, which included internal bremsstrahlung and virtual corrections, of which the vertex correction gives a finite contribution after renormalization. Through a fit to the reconstructed decay spectrum, three form factors appearing in the parametrization of the hadronic matrix element were measured, whose values allow for a violation of the empirical \"delta\"I=1/2 rule of about 2%. We have also measured the first order dependence on the transfered momentum to the leptons of one of the form factors, solving the quadratic ambiguity between \"\"gama\"IND.K\" IND.E.4\" and the low energy coupling constant \"L IND.3\" from Chiral Perturbation Theory, allowing for a direct measurement of this constant (\"L IND.3\"=[-4.0 =/- 0.3] X \"10 POT.-3\"). (AU)