Computation of the b-Quark Mass with Perturbative Matching at the Next-to-Next-to-Leading Order

@inproceedings{Martinelli1998ComputationOT,
  title={Computation of the b-Quark Mass with Perturbative Matching at the Next-to-Next-to-Leading Order},
  author={G. Martinelli and Chris T. Sachrajda},
  year={1998}
}
We compute the two-loop term in the perturbation series for the quark-mass in the lattice Heavy Quark Effective Theory (HQET). This is an ingredient in the matching factor required to obtain the b-quark mass from lattice simulations of the HQET. Combining our calculation with numerical results from the APE collaboration, we find, at two-loop order, mb ≡ m MS b (m MS b ) = 4.41 ± 0.05 ± 0.10GeV. It was expected that the two-loop term would have a significant effect, and this is indeed what we… CONTINUE READING