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Update on the gradient flow scale on the 2+1+1 HISQ ensembles

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arxiv 2401.06522 v1 pith:5UDJW7JO submitted 2024-01-12 hep-lat

Update on the gradient flow scale on the 2+1+1 HISQ ensembles

classification hep-lat
keywords flowscaleensemblesgradienthisqmassomegasymanzik
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We report on the ongoing effort of improving the determination of the gradient flow scale on the (2+1+1)-flavor HISQ ensembles generated by the MILC collaboration. We compute the scales $\sqrt{t_0}/a$ and $w_0/a$ with the Wilson and Symanzik flow using three discretizations for the action density: clover, Wilson and tree-level Symanzik improved. For the absolute scale setting, we intend to employ the $\Omega$-baryon mass, but are also using the pion decay constant while the $\Omega$-mass calculations are in progress.

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