The B-meson mass splitting from non-perturbative quenched lattice QCD

@article{Grozin2007TheBM,
  title={The B-meson mass splitting from non-perturbative quenched lattice QCD},
  author={Andrey Grozin and Damiano Guazzini and Peter Marquard and Harvey B. Meyer and J. Piclum and Rainer Sommer and Matthias Steinhauser},
  journal={arXiv: High Energy Physics - Lattice},
  year={2007}
}
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… 

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