Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-10-02
PoS LAT2007:100,2007
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 2 figures
Scientific paper
We perform the non-perturbative (quenched) renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and its three-loop matching to QCD. At order 1/m of the expansion, the operator is responsible for the mass splitting between the pseudoscalar and vector B-mesons. These new computed factors are affected by an uncertainty negligible in comparison to the known bare matrix element of the operator between B-states. Furthermore, they push the quenched determination of the spin splitting for the Bs-meson 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.
Grozin Andrey G.
Guazzini Damiano
Marquard Peter
Meyer Harvey B.
Piclum Jan H.
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