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

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

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

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

Physics

Research output: Contribution to journal › Conference article › peer-review

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 language	English (US)
Journal	Proceedings of Science
State	Published - 2012
Event	10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 - Munich, Germany Duration: Oct 8 2012 → Oct 12 2012

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@article{6c185adce16e4ae58db2f62102c1f13d,

title = "Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations",

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 {\=ℓ}3 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.",

author = "Scholz, {Enno E.} and Szabolcs Bors{\'a}nyi and Stephan D{\"u}rr and Zolt{\'a}n Fodor and Stefan Krieg and Andreas Sch{\"a}fer and Szabo, {Kalman K.}",

year = "2012",

language = "English (US)",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

note = "10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 ; Conference date: 08-10-2012 Through 12-10-2012",

}

TY - JOUR

T1 - Determination of SU(2) ChPT LECs from 2+1 flavor staggered lattice simulations

AU - Scholz, Enno E.

AU - Borsányi, Szabolcs

AU - Dürr, Stephan

AU - Fodor, Zoltán

AU - Krieg, Stefan

AU - Schäfer, Andreas

AU - Szabo, Kalman K.

PY - 2012

Y1 - 2012

N2 - 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.

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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UR - http://www.scopus.com/inward/citedby.url?scp=84887509770&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84887509770

SN - 1824-8039

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012

Y2 - 8 October 2012 through 12 October 2012

ER -

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

Abstract

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