Lattice heavy quark effective theory and the Isgur-Wise function

We compute the Isgur-Wise function using heavy quark effective theory formulated on the lattice. The nonrelativistic kinetic energy term of the heavy quark is included in the action as well as terms remaining in the infinite quark mass limit. The classical velocity of the heavy quark is renormalized on the lattice and we determine the renormalized velocity nonperturbatively using the energy-momentum dispersion relation. The slope parameter of the Isgur-Wise function at zero recoil is obtained at $\beta =6.0\mathrm{}$ on a ${24}^3$×48 lattice for three values of $m_Q$.