Pion and kaon masses in staggered chiral perturbation theory

By C. Aubin, C. Bernard. 2003

144 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b5775ff0a7e0d90c781afba7534535af06f37587

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In Nuclear and High Energy Physics

Citations in the corpus

Review of lattice results concerning low-energy particle physics (2016, background): “It was later generalized to an arbitrary number of flavours [329,330], and to next-to-leading order [689].”
FLAG Review 2019 (2019, background): “In this step invoking an extended version of the chiral Lagrangian [323, 380–384] may be useful31 in case one aims for a global fit of lattice data involving several Mπ and a values and several chiral observables.”
Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, background): “Aubin and Bernard (2003a) showed that such terms do generate “taste hairpins,” which mix the flavor-neutral mesons however, of tasteV (and separately, tasteA).”
Leading hadronic contribution to the muon magnetic moment from lattice QCD (2020, background): “i 2 tr(Q[@ ˚;˚]) i 24F2 tr([Q;@ ˚]˚˚˚ 3Q˚[@ ˚;˚]˚) + O(˚6): (92) The leading order staggered terms have been described by Lee and Sharpe [64] and generalized to multiple avors by Aubin and Bernard [65]. We write these terms as L 2;LS. Since these are O(a2), they can contribute to our NNLO calculatio”
Review of lattice results concerning low-energy particle physics (2010, background): “It was later generalized to an arbitrary number of flavours [28, 30], and to next-toleading order [33].”