Lattice QCD calculations with different staggered valence and sea quarks can be used to improve determinations of quark masses, Gasser-Leutwyler couplings, and other parameters relevant to phenomenology. We calculate the masses and decay constants of flavored pions and kaons through next-to-leading order in staggered-valence, staggered-sea mixed-action chiral perturbation theory. We present the results in the valence-valence and valence-sea sectors, for all tastes. As in unmixed theories, the taste-pseudoscalar, valence-valence mesons are exact Goldstone bosons in the chiral limit, at nonzero lattice spacing. The results reduce correctly when the valence and sea quark actions are identical, connect smoothly to the continuum limit, and provide a way to control light quark and gluon discretization errors in lattice calculations performed with different staggered actions for the valence and sea quarks.
Bibliographical noteFunding Information:
We thank Claude Bernard for sharing his unpublished notes on mixed-action staggered chiral perturbation theory. We also thank the referee for helpful comments and suggestions. The research of W. L. was supported by the Creative Research Initiatives Program (No. 20160004939) of the National Research Foundation of Korea (NRF) funded by the Korean government (MEST). J. A. B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974).
© 2017 American Physical Society.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)