One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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79 pages, LaTeX in JHEP style, v3: notation refined, Appendix E newly added, agree with published version

Scientific paper

10.1007/JHEP05(2011)040

We discuss perturbative O(g^2a) matching with static heavy quarks and domain-wall light quarks for lattice operators relevant to B-meson decays and $B^0$-$\bar{B}^0$ mixing. The chiral symmetry of the light domain-wall quarks does not prohibit operator mixing at O(a) for these operators. The O(a) corrections to physical quantities are non-negligible and must be included to obtain high-precision simulation results for CKM physics. We provide results using plaquette, Symanzik, Iwasaki and DBW2 gluon actions and applying APE, HYP1 and HYP2 link-smearing for the static quark action.

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