Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
arXiv:1402.6145 · doi:10.1103/PhysRevD.90.034508
Abstract
The chiral Lagrangian describing the low-energy behavior of N_f=2+1+1 twisted mass lattice QCD is constructed through O(a^2). In contrast to existing results the effects of a heavy charm quark are consistently removed, leaving behind a charmless 3-flavor Lagrangian. This Lagrangian is used to compute the pion and kaon masses to one loop in a regime where the pion mass splitting is large and taken as a leading order effect. In comparison with continuum chiral perturbation theory additional chiral logarithms are present in the results. In particular, chiral logarithms involving the neutral pion mass appear. These predict rather large finite volume corrections in the kaon mass which roughly account for the finite volume effects observed in lattice data.
v2: Error in derivation of the chiral Lagrangian corrected, results for pseudoscalar masses and conclusions unchanged. First part of the paper rewritten and shortened, typos corrected, references added. Matches published version
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