Pion and Kaon masses in Staggered Chiral Perturbation Theory

Abstract

We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe Lagrangian generalized to multiple flavors. An error in a previous treatment by one of us is explained and corrected. The one loop chiral logarithm corrections to the pion and kaon masses in the full (unquenched), partially quenched, and quenched cases are computed as examples.

37 pages, 4 figures; v2: minor notation change for clarity; corrected typos in references; v3: Appendix added with details of the symmetry groups and a brief discussion of a possible unusual phase. Additional minor changes for clarity. Version to be published in Phys. Rev D

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