The K -> pi vector form factor at zero momentum transfer on the lattice

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  • 19 March 2004
Abstract
We present a quenched lattice study of the form factors f+(q2) and f0(q2) of the matrix elements < pi | bar{s} gamma_mu u | K >. We focus on the second-order SU(3)-breaking quantity [1 - f+(0)], which is necessary to extract |Vus| from Kl3 decays. For this quantity we show that it is possible to reach the percent precision which is the required one for a significant determination of |Vus|. The leading quenched effects are corrected for by using analytic calculations in quenched chiral perturbation theory. Our final result, f+(K0 pi-)(0) = 0.960 +/- 0.005stat +/- 0.007syst, is in good agreement with the estimate made by Leutwyler and Roos. A comparison with other non-lattice computations and the impact of our result on the extraction of |Vus| are also presented.

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