Renormalization of the Lattice Heavy Quark Classical Velocity
arXiv:hep-lat/9510010 · doi:10.1016/0920-5632(96)00083-7
Abstract
In the lattice formulation of the Heavy Quark Effective Theory (LHQET), the classical velocity is renormalized. The origin of this renormalization is the reduction of Lorentz (or O(4)) invariance to (hyper)cubic invariance. The renormalization is finite and depends on the form of the decretization of the reduced heavy quark Dirac equation. For the Forward Time - Centered Space discretization, the renormalization is computed both perturbatively, to one loop, and non-perturbatively using an ensemble of lattices provided by the Fermilab lattice collaboration. The estimates of the leading (linear) shift agree, and indicate that for small classical velocities, the renormalized velocity is reduced by about 25-30% relative to its bare (input) value.
4 pages in uuencoded compressed postscript (using uufiles); Talk given at Lattice '95 (Melbourne)
References in corpus (9)
- Heavy Quark Symmetry
- The Residual Mass Term in the Heavy Quark Effective Theory
- The Isgur-Wise Function from the Lattice
- A Lattice Calculation of the Isgur-Wise Function
- A Lattice Calculation of the Heavy Quark Universal Form Factor
- A Lattice Calculation of the Heavy Quark Universal Form Factor
- Calculating the Isgur-Wise Function on the Lattice
- An Extraction of Vcb from the Semi-Leptonic B->D* Decay
- Isgur-Wise Function on the Lattice