Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-08-04
Phys.Rev.D82:094505,2010
Physics
High Energy Physics
High Energy Physics - Lattice
23 pages, no figures. Version2: typos corrected, few comments added, results and conclusions unchanged. Matches published vers
Scientific paper
10.1103/PhysRevD.82.094505
The pion masses and the pion decay constant are calculated to 1-loop order in twisted mass Wilson chiral perturbation theory, assuming a large pion mass splitting and tuning to maximal twist. Taking the large mass splitting at leading order in the chiral expansion leads to significant modifications in the chiral logarithms. For example, the result for the charged pion mass contains a chiral logarithm that involves the neutral pion mass instead of the charged one. Similar modifications appear in the results for the neutral pion mass and the decay constant. These new results are used in fits to lattice data obtained recently by the European twisted mass collaboration. The data can be fitted well, in general better than with the standard chiral perturbation theory expressions that ignore the mass splitting. The impact on the extraction of low-energy couplings is briefly discussed.
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