18-24 June 2017
Palacio de Congresos
Europe/Madrid timezone
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Andalucía I
Weak Decays and Matrix Elements

Scalar and vector form factors for the $D \to \pi(K) \ell\nu$ and towards $B \to \pi(K) \ell\nu$ semileptonic decays with Nf=2+1+1 Twisted femions


  • Mr. Giorgio SALERNO

Primary authors



We present a lattice determination of the vector and scalar form factors of the $D \to \pi(K) \ell \nu$ semileptonic decays, which are relevant for the extraction of the CKM matrix elements $|V_{cd}|$ and $|V_{cs}|$ from experimental data. Our analysis is based on the gauge configurations produced by the European Twisted Mass Collaboration with $N_f = 2 + 1 + 1$ flavors of dynamical quarks. We simulated at three different values of the lattice spacing and with pion masses as small as 210 MeV. The matrix elements of both vector and scalar currents are determined for a plenty of kinematical conditions in which parent and child mesons are either moving or at rest. Lorentz symmetry breaking due to hypercubic effects is clearly observed in the data and included in the decomposition of the current matrix elements in terms of additional form factors. Preliminary results are also presented for the form factors of the semileptonic decays of pseudo-scalar heavy mesons with masses above the D-mass. We use correlation functions obtained from simulations in which the valence heavy quark has a mass in the range $ m_c < m_h < 3m_c $.

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Weak Decays and Matrix Elements