# 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…

## 5 Citations

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## References

SHOWING 1-10 OF 30 REFERENCES

Non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and the B*–B mass splitting

- Physics
- 2007

We carry out the non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory. At order 1/m of the expansion, the operator is responsible for the mass splitting…

Heavy-light mesons in lattice HQET and QCD

- Physics
- 2007

We present a study of a combination of HQET and relativistic QCD to extract the b-quark mass and the Bs-meson decay constant from lattice quenched simulations. We start from a small volume, where one…

The QCD potential

- Physics
- 2007

After reviewing the definition of the heavy quark-antiquark potential in pNRQCD, we discuss recent advances in the calculation.

A

- Shindler and R. Sommer, JHEP 08
- 2005

Nucl

- Phys. B357
- 1991

Phys. Rev

- Phys. Rev
- 2004

P

- Marquard, J.H. Piclum and M. Steinhause r,
- 2007

Phys. Lett

- Phys. Lett
- 2001

Nucl

- Phys. B359
- 1991