$D$ to $K$ semileptonic decay form factors from HISQ light and charm quarks

Details $D$ to $K$ semileptonic decay form factors from HISQ light and charm quarks $D$ to $K$ semileptonic decay form factors from HISQ light and charm quarks

2011-03-28

arxiv.org/abs/1103.5419v1

PoS(Lattice 2010)315

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 6 figures, and 1 table. Talk given at Lattice 2010, June 14-19, 2010, Villasimius, Italy

Scientific paper

We present a study of $D \rightarrow K, l \nu$ semileptonic decays on the lattice which employs the HISQ action for both the charm and the light quarks. We work with MILC unquenched $N_f = 2 + 1$ lattices and determine the scalar form factor $f_0(q^2)$. This form factor is obtained from a scalar current matrix element that does not require any operator matching. We find $f^{D \rightarrow K}_0(0) \equiv f^{D \rightarrow K}_+(0) = 0.747(19)$ in the chiral plus continuum limit and hereby improve the theory error on this quantity by a factor of $\sim$4 compared to previous lattice determinations. Combining the new theory result with recent experimental measurements of the product $f^{D \rightarrow K}_+(0) * |V_{cs}| $ from BaBar and CLEO-c leads to a very precise direct determination of the CKM matrix element $|V_{cs}| $, $|V_{cs}| = 0.961(11)(24)$, where the first error comes from experiment and the second is the lattice QCD theory error.

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