Chiral logs with staggered fermions

Details Chiral logs with staggered fermions Chiral logs with staggered fermions

2002-09-04

arxiv.org/abs/hep-lat/0209066v1

Nucl.Phys.Proc.Suppl.119:233-235,2003

Physics

High Energy Physics

High Energy Physics - Lattice

talk presented by C. Bernard at Lattice2002(spectrum); 3 pages, 2 figures

Scientific paper

10.1016/S0920-5632(03)01511-1

We compute chiral logarithms in the presence of "taste" symmetry breaking of staggered fermions. The lagrangian of Lee and Sharpe is generalized and then used to calculate the logs in $\pi$ and $K$ masses. We correct an error in Ref. [1] [C. Bernard, hep-lat/0111051]; the issue turns out to have implications for the comparison with simulations, even at tree level. MILC data with three light dynamical flavors can be well fit by our formulas. However, two new chiral parameters, which describe order $a^2$ hairpin diagrams for taste-nonsinglet mesons, enter in the fits. To obtain precise results for the physical coefficients at order $p^4$, these new parameters will need to be bounded, at least roughly.

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