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

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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 and next to leading order additive mass renormalization of valence-sea mesons for a mixed lattice action with domain-wall valence fermions and staggered sea fermions. We find that on the asqtad improved coarse MILC lattices, the leading order additive mass renormalization for the mixed mesons is D(am)^2_LO = 0.0396(11) which corresponds to a^2 D_Mix ~ (316 +- 4 MeV)^2 for a ~ 0.125 fm. We also find sizable next to leading order contributions which reduce the mass shift, such that for 0< am_pi < 0.22 the mixed meson mass renormalization is well approximated by D(am)^2 = 0.0336(22) or a^2 d_Mix ~ (291 +- 10 MeV)^2. The full next-to-leading order analysis is presented in the text.

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