Mixed meson masses with domain-wall valence and staggered sea fermions

2007/05/31 by Kostas Orginos, André Walker-Loud, Andre Walker-Loud · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.77.094505

published as Phys.Rev.D77:094505,2008 · 28 pages, 3 figures, 5 tables

openalex publication_date 2008/05/16 · arxiv created 2008/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Mixed action lattice calculations allow for an additive lattice-spacing-dependent mass renormalization of mesons composed of one sea and one valence quark, regardless of the type of fermion discretization methods used in the valence and sea sectors. The value of the mass renormalization depends upon the lattice actions used. This mixed meson mass shift is an important lattice artifact to determine for mixed action calculations; because it modifies the pion mass, it plays a central role in the low-energy dynamics of all hadronic correlation functions. We determine the leading order, O(a²), and next-to-leading order, O(a²m_\ensuremathπ²), additive mass shift of valence-sea mesons for a mixed lattice action with domain-wall valence fermions and rooted staggered sea fermions, relevant to the majority of current large scale mixed action lattice efforts. We find that, on the asqtad-improved coarse MILC lattices, this additive mass shift is well parametrized in lattice units by \ensuremathΔ(am)²=0.034(2)\ensuremath-0.06(2)(am_\ensuremathπ)², which in physical units, using a=0.125 fm, corresponds to \ensuremathΔ(m)²=(291\ifmmode±\else\textpm\fi8 MeV)²\ensuremath-0.06(2)m_\ensuremathπ². In terms of the mixed action effective field theory parameters, the corresponding mass shift is given by a²\ensuremathΔ_Mix=(316\ifmmode±\else\textpm\fi4 MeV)² at leading order plus next-to-leading order corrections including the necessary chiral logarithms for this mixed action calculation, determined in this work. Within the precision of our calculation, one cannot distinguish between the full next-to-leading order effective field theory analysis of this additive mixed meson mass shift and the parametrization given above.

Citations

• A method for simulating chiral fermions on the lattice
• Chiral perturbation theory to one loop
• Infinitely many regulator fields for chiral fermions
• Axial symmetries in lattice QCD with Kaplan fermions
• The Gell-Mann–Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Chiral perturbation theory: Expansions in the mass of the strange quark
• The Chroma Software System for Lattice QCD
• Staggered heavy baryon chiral perturbation theory
• Hamiltonian formulation of Wilson's lattice gauge theories
• Chiral fermions from lattice boundaries
• N-to-ΔAxial Transition Form Factors from Lattice QCD

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