Close to the continuum limit, lattice QCD with mass-degenerate Wilson quarks can be described by Symanzik's effective continuum action, which contains the dimension 5 operator, mtr(FμνFμν).Its effect can be eliminated by an O(amq) rescaling of the bare lattice coupling constant.Until recently, the corresponding improvement coefficient, bg, was only known perturbatively to 1-loop order and an estimate of the remaining uncertainty is the dominant systematic error in the ALPHA collaboration's recent determination of αs(mz) with the decoupling method [1].To remove this error we have determined bg non-perturbatively for the corresponding parameter range.We here briefly review improvement conditions for bg, perform a perturbative test and report on our non-perturbative results for bg
Dalla Brida, M., Höllwieser, R., Knechtli, F., Korzec, T., Ramos, A., Sint, S., et al. (2024). A non-perturbative determination of bg. In 40th International Symposium on Lattice Field Theory, LATTICE 2023. Sissa Medialab Srl [10.22323/1.453.0295].
A non-perturbative determination of bg
Dalla Brida M.;
2024
Abstract
Close to the continuum limit, lattice QCD with mass-degenerate Wilson quarks can be described by Symanzik's effective continuum action, which contains the dimension 5 operator, mtr(FμνFμν).Its effect can be eliminated by an O(amq) rescaling of the bare lattice coupling constant.Until recently, the corresponding improvement coefficient, bg, was only known perturbatively to 1-loop order and an estimate of the remaining uncertainty is the dominant systematic error in the ALPHA collaboration's recent determination of αs(mz) with the decoupling method [1].To remove this error we have determined bg non-perturbatively for the corresponding parameter range.We here briefly review improvement conditions for bg, perform a perturbative test and report on our non-perturbative results for bg
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