Universality of Mixed Action Extrapolation Formulae

Abstract

Mixed action theories with chirally symmetric valence fermions exhibit very desirable features both at the level of the lattice calculations as well as in the construction and implementation of the low energy mixed action effective field theory. In this work we show that when such a mixed action effective field theory is projected onto the valence sector, both the Lagrangian and the extrapolation formulae become universal in form through next to leading order, for all variants of discretization methods used for the sea fermions. Our conclusion relies on the chiral nature of the valence quarks. The result implies that for all sea quark methods which are in the same universality class as QCD, the numerical values of the physical coefficients in the various mixed action chiral Lagrangians will be the same up to lattice spacing dependent corrections. This allows us to construct a prescription to determine the mixed action extrapolation formulae for a large class of hadronic correlation functions computed in partially quenched chiral perturbation theory at the one-loop level. For specific examples, we apply this prescription to the nucleon twist--2 matrix elements and the nucleon--nucleon system. In addition, we determine the mixed action extrapolation formula for the neutron EDM as this provides a nice example of a theta-dependent observable; these observables are exceptions to our prescription.

36 pages, appendix on twisted mass sea fermions added, expanded discussion of NLO operators, version published in JHEP; typographical errors corrected in Eqs. (68) and (69)

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• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• A Lattice Test of 1/N_c Baryon Mass Relations
• SU(2) Low-Energy Constants from Mixed-Action Lattice QCD
• Mixed Action Effective Field Theory: an Addendum
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• The ${\Delta }_{mix}$ parameter in the overlap on domain-wall mixed action
• 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 $w_0$
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• Bottom-Hadron Mass Splittings from Static-Quark Action on 2+1-Flavor Lattices
• Lattice-QCD Determination of the Hyperon Axial Couplings in the Continuum Limit
• Distance between various discretized fermion actions
• Taste non-Goldstone, flavor-charged pseudo-Goldstone boson masses in staggered chiral perturbation theory
• Precise study of triply charmed baryons ${\Omega }_{ccc}$