Form factors of the $D \to π$ and $D \to K$ semileptonic decays with $N_f = 2$ twisted mass lattice QCD

Details Form factors of the $D \to π$ and $D \to K$ semileptonic decays with $N_f = 2$ twisted mass lattice QCD Form factors of the $D \to π$ and $D \to K$ semileptonic decays with $N_f = 2$ twisted mass lattice QCD

2011-04-05

arxiv.org/abs/1104.0869v1

PoS LAT2010:301

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures, proceedings of the XXVIII Int'l Symposium on Lattice Field Theory (Lattice2010), June 14-19 2010, Villasim

Scientific paper

We present lattice results for the vector and scalar form factors of the semileptonic decays D -> \pi \ell \nu_ell and D -> K \ell \nu_\ell in the physical range of values of squared four momentum transfer q^2, obtained with N_f=2 maximally twisted Wilson fermions simulated at three different lattice spacings (a ~ 0.102 fm, 0.086 fm, 0.068 fm) with pion masses as light as 270 MeV and m_\pi L \gtrsim 4. The form factors are extracted using a double ratios strategy, which allows a good statistical accuracy and is independent of the vector current renormalization constant. The chiral/continuum extrapolation is performed through a simultaneous fit in the three variables (m_\pi, q^2, a) using HMChPT formulae with additional O(a^2) terms that parametrically account for the lattice spacing dependence. Our results are in very good agreement with the experimental data in the full q^2 range for both D -> \pi \ell \nu_\ell and D -> K \ell \nu_\ell. At zero momentum transfer we obtain f^{D->pi}(0) = 0.65(6)_{stat}(6)_{syst} and f^{D->K}(0) = 0.76(5)_{stat}(5)_{syst}, where the systematic error does not include the effects of quenching the strange and the charm quarks. Our findings are in good agreement with recent lattice calculations at N_f = 2+1.

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