Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions

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, $\mathcal{O}(a^2)$, and next to leading order, $\mathcal{O}(a^2{m}_{\pi }^2)$, additive mass shift of \textit{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 parameterized in lattice units by $\Delta (am{)}^2=0.034(2)-0.06(2)(a{m}_{\pi }{)}^2$, which in physical units, using $a=0.125$ fm, corresponds to $\Delta (m{)}^2=(291\pm 8\text{MeV}{)}^2-0.06(2)m_{\pi }^2$. In terms of the mixed action effective field theory parameters, the corresponding mass shift is given by $a^2{\Delta }_{\mathrm{Mix}}=(316\pm 4\text{MeV}{)}^2$ 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 can not distinguish between the full next-to-leading order effective field theory analysis of this additive mixed meson mass shift and the parameterization given above.

28 pages, 3 figures, 5 tables

References in corpus (16)

• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Observations on staggered fermions at non-zero lattice spacing
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Chiral anomalies and rooted staggered fermions
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• The axial N to Delta transition form factors from Lattice QCD
• Comment on "Chiral anomalies and rooted staggered fermions"
• Lattice fermions with complex mass
• Validity of the Rooted Staggered Determinant in the continuum limit
• The author replies
• The Gell-Mann -- Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Staggered Heavy Baryon Chiral Perturbation Theory

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• Mixed Action Effective Field Theory: an Addendum
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Bottom-Hadron Mass Splittings from Static-Quark Action on 2+1-Flavor Lattices
• Distance between various discretized fermion actions
• Mixed action with Borici-Creutz fermions on staggered sea
• Results from overlap valence quarks on a twisted mass sea
• Hadron spectra and Delta_{mix} from overlap quarks on a HISQ sea