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Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Weak Decays and Matrix Elements
Hypercubic effects in semileptonic decays of heavy mesons, toward $B \to \pi \ell\nu$ with Nf=2+1+1 Twisted fermions
V. Lubicz, L. Riggio,* G. Salerno, S. Simula on behalf of ETM Collaboration
*corresponding author
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Published on: 2019 May 29
We present a preliminary study toward a lattice determination of the vector and scalar form factors of the $B \to \pi \ell \nu$ semileptonic decays.
We compute the form factors relative to the transition between heavy-light pseudoscalar mesons, with masses above the physical D-mass, and the pion.
We simulate heavy-quark masses in the range $m_c^{phys} < m_h < 2m_c^{phys}$.
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.
We discuss the size of this breaking as the parent-meson mass increases.
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 at three different values of the lattice spacing and with pion masses as small as $210$ MeV.
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