2006/10/15 by E. Follana, Quentin Mason, Q. Mason +10 · 5 citations
Mathematics · Physics and Astronomy · #Discretization #Formalism (music) #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #hep-lat
paper · pdf · doi:10.1103/physrevd.75.054502
published as Phys.Rev.D75:054502,2007 · 21 pages, 8 figures, 5 tables
arxiv created 2006/10/15 · openalex publication_date 2007/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use perturbative Symanzik improvement to create a new staggered-quark action (HISQ) that has greatly reduced one-loop taste-exchange errors, no tree-level order a2 errors, and no tree-level order (am)4 errors to leading order in the quark's velocity v/c. We demonstrate with simulations that the resulting action has taste-exchange interactions that are 3--4 times smaller than the widely used ASQTAD action. We show how to bound errors due to taste exchange by comparing ASQTAD and HISQ simulations, and demonstrate with simulations that such errors are likely no more than 1% when HISQ is used for light quarks at lattice spacings of 1/10 fm or less. The suppression of (am)4 errors also makes HISQ the most accurate discretization currently available for simulating c quarks. We demonstrate this in a new analysis of the \ensuremathψ\ensuremath-\ensuremathηc mass splitting using the HISQ action on lattices where amc=0.43 and 0.66, with full-QCD gluon configurations (from MILC). We obtain a result of 111(5) MeV which compares well with the experiment. We discuss applications of this formalism to D physics and present our first high-precision results for Ds mesons.