Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations

Enno E. Scholz, Szabolcs Borsányi, Stephan Dürr, Z. Fodor, Stefan Krieg, Andreas Schäfer, Kalman K. Szabo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

By fitting pion masses and decay constants from 2+1 flavor staggered lattice simulations to the predictions of NLO and NNLO SU(2) chiral perturbation theory we determine the low-energy constants ℓ̄3 and ℓ ̄4. The lattice ensembles were generated by the Wuppertal-Budapest collaboration and cover pion masses in the range of 135 to 435 MeV and lattice scales between 0.7 and 2.0 GeV. By choosing a suitable scaling trajectory, we were able to demonstrate that precise and stable results for the LECs can be obtained from continuum ChPT to NLO. The pion masses available in this work also allow us to study the applicability of using ChPT to extrapolate from higher masses to the physical pion mass.

Original languageEnglish
Title of host publicationProceedings of Science
Publication statusPublished - 2012
Event10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 - Munich, Germany
Duration: Oct 8 2012Oct 12 2012

Other

Other10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012
CountryGermany
CityMunich
Period10/8/1210/12/12

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pions
simulation
perturbation theory
trajectories
continuums
scaling
decay
predictions
energy

ASJC Scopus subject areas

  • General

Cite this

Scholz, E. E., Borsányi, S., Dürr, S., Fodor, Z., Krieg, S., Schäfer, A., & Szabo, K. K. (2012). Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations. In Proceedings of Science

Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations. / Scholz, Enno E.; Borsányi, Szabolcs; Dürr, Stephan; Fodor, Z.; Krieg, Stefan; Schäfer, Andreas; Szabo, Kalman K.

Proceedings of Science. 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Scholz, EE, Borsányi, S, Dürr, S, Fodor, Z, Krieg, S, Schäfer, A & Szabo, KK 2012, Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations. in Proceedings of Science. 10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012, Munich, Germany, 10/8/12.
Scholz EE, Borsányi S, Dürr S, Fodor Z, Krieg S, Schäfer A et al. Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations. In Proceedings of Science. 2012
Scholz, Enno E. ; Borsányi, Szabolcs ; Dürr, Stephan ; Fodor, Z. ; Krieg, Stefan ; Schäfer, Andreas ; Szabo, Kalman K. / Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations. Proceedings of Science. 2012.
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AU - Schäfer, Andreas

AU - Szabo, Kalman K.

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AB - By fitting pion masses and decay constants from 2+1 flavor staggered lattice simulations to the predictions of NLO and NNLO SU(2) chiral perturbation theory we determine the low-energy constants ℓ̄3 and ℓ ̄4. The lattice ensembles were generated by the Wuppertal-Budapest collaboration and cover pion masses in the range of 135 to 435 MeV and lattice scales between 0.7 and 2.0 GeV. By choosing a suitable scaling trajectory, we were able to demonstrate that precise and stable results for the LECs can be obtained from continuum ChPT to NLO. The pion masses available in this work also allow us to study the applicability of using ChPT to extrapolate from higher masses to the physical pion mass.

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