A perturbative determination of O(a) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions

Abstract

We determine O($a$) boundary improvement coefficients up to 1-loop level for the Schrödinger Functional coupling with improved gauge actions including plaquette and rectangle loops. These coefficients are required to implement 1-loop O($a$) improvement in full QCD simulations for the coupling with the improved gauge actions. To this order, lattice artifacts of step scaling function for each improved gauge action are also investigated. In addition, passing through the SF scheme, we estimate the ratio of $\Lambda$-parameters between the improved gauge actions and the plaquette action more accurately.

17 pages, 2 figures, 6 tables

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• Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD
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• A scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Mass-improvement of the vector current in three-flavor QCD
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Automatic generation of Feynman rules in the Schroedinger functional
• Non-perturbative calculation of $Z_V$ and $Z_A$ in domain-wall QCD on a finite box
• Universality of the Nf=2 Running Coupling
• Non-perturbative renormalization of meson decay constants in quenched QCD for a renormalization group improved gauge action