Chiral logs in twisted mass lattice QCD with large isospin breaking
- Institute of Physics, Humboldt University Berlin, Newtonstrasse 15, 12489 Berlin (Germany)
The pion masses and the pion decay constant are calculated to 1-loop order in SU(2) 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.
- OSTI ID:
- 21503813
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 9; Other Information: DOI: 10.1103/PhysRevD.82.094505; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CHIRALITY
COUPLING
EXPANSION
EXTRACTION
ISOSPIN
MASS
MODIFICATIONS
PARTICLE DECAY
PERTURBATION THEORY
PIONS NEUTRAL
QUANTUM CHROMODYNAMICS
SU-2 GROUPS
BOSONS
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
LIE GROUPS
MESONS
PARTICLE PROPERTIES
PIONS
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
SEPARATION PROCESSES
SU GROUPS
SYMMETRY GROUPS