Perturbative calculations for the HISQ action: the gluon action at $O(N_fα_sa^2)$

Physics – High Energy Physics – High Energy Physics - Lattice

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7 pages, 3 figures; poster presented at XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg

Scientific paper

We present a new (and general) algorithm for deriving lattice Feynman rules which is capable of handling actions as complex as the Highly Improved Staggered Quark (HISQ) action. This enables us to perform a perturbative calculation of the influence of dynamical HISQ fermions on the perturbative improvement of the gluonic action in the same way as we have previously done for asqtad fermions. We find the fermionic contributions to the radiative corrections in the L\"uscher-Weisz gauge action to be somewhat larger for HISQ fermions than for asqtad.

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