The Bmeson mass splitting from nonperturbative quenched lattice QCD
Abstract
We perform the nonperturbative (quenched) renormalization of the chromomagnetic operator in Heavy Quark Effective Theory and its threeloop matching to QCD. At order 1/m of the expansion, the operator is responsible for the mass splitting between the pseudoscalar and vector Bmesons. These new computed factors are affected by an uncertainty negligible in comparison to the known bare matrix element of the operator between Bstates. Furthermore, they push the quenched determination of the spin splitting for the Bsmeson much closer to its experimental value than the previous perturbatively renormalized computations. The renormalization factor for three commonly used heavy quark actions and the Wilson gauge action and useful parametrizations of the matching coefficient are provided.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.0578
 Bibcode:
 2007arXiv0710.0578G
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 7 pages, 2 figures