Measurement of the K-L ->pi mu nu form factor parameters with the KLOE detector RID C-6238-2011 RID D-2250-2011 RID G-6301-2011 RID C-9722-2011 RID D-2615-2009 RID A-6640-2010

Using 328 pb(-1) of data collected at DA phi NE corresponding to similar to 1.8 million K-L -> pi mu nu decays, we have measured the K-mu 3 form factor parameters. The structure of the K-pi vector-current provides information about the dynamics of the strong interaction; its knowledge is necessary for evaluation of the phase-space integral required for measuring the CKM matrix element V-us and for testing lepton universality in kaon decays. Using a new parametrization for the vector and scalar form factors, we find lambda(+)=(25.7 +/- 0.6) x 10(-3) and lambda(0) = (14.0 +/- 2.1) x 10(-3). Our result for lambda(0), together with recent lattice calculations of f pi, fK and f(0), satisfies the Callan-Treiman relation.