# Perturbative calculations for the HISQ action: the gluon action at $O(N_f\alpha_sa^2)$

@article{Hart2008PerturbativeCF, title={Perturbative calculations for the HISQ action: the gluon action at \$O(N\_f\alpha\_sa^2)\$}, author={Alistair Hart and Georg M. von Hippel and R. R. Horgan}, journal={arXiv: High Energy Physics - Lattice}, year={2008} }

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… Expand

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#### References

SHOWING 1-10 OF 20 REFERENCES

Dynamical Simulations with Highly Improved Staggered Quarks

- Physics
- 2007

It is well established that lattice artifacts can be suppressed substantially by the use of SU(3)projected smeared links in the fermion action. An example is the Highly Improved Staggered Quark… Expand

Unquenching effects on the coefficients of the Lüscher-Weisz action

- Physics
- 2007

The effects of unquenching on the perturbative improvement coefficients in the Symanzik action are computed within the framework of Luscher-Weisz on-shell improvement. We find that the effects of… Expand

High-precision determination of the pi, K, D, and Ds decay constants from lattice QCD.

- Physics, Medicine
- Physical review letters
- 2008

A highly improved quark discretization on MILC gluon fields that include realistic sea quarks is used, fixing the u/d, s, and c masses from the pi, K, and eta(c) meson masses, which allows a stringent test against experiment for D and D(s) masses for the first time. Expand

Nucl

- Phys. B498, 347
- 1997

Phys. Rev. D75

- Phys. Rev. D75
- 2007

Phys. Rev. D76

- Phys. Rev. D76
- 2007

J. Comput. Phys

- J. Comput. Phys
- 2005

Nucl. Phys. B266

- Nucl. Phys. B266
- 1986

PoS LAT2007

- 047
- 2007

Comput. Phys. Commun

- Comput. Phys. Commun
- 2006