Speaker
Dr
Lorenzo Riggio
(INFN Sez. Roma Tre)
Description
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 pseudo-scalar
heavy mesons, with masses above the D-mass, and the pion. We simulate the
valence heavy quark with a mass in the range $ m_c < m_h < 2m_c $.
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.
We simulated at three different values of the lattice spacing and with pion
masses as small as 210 MeV.
Primary author
Dr
Lorenzo Riggio
(INFN Sez. Roma Tre)
Co-authors
Dr
Cecilia Tarantino
(Università di Roma Tre)
Dr
Giorgio Salerno
(Università di Roma Tre and LPT Orsay)
Dr
Silvano Simula
(INFN Sez. Roma Tre)
Prof.
Vittorio Lubicz
(Università di Roma Tre)