% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Drr:185649,
      author       = {Dürr, Stephan and Fodor, Zoltán and Hoelbling, Christian
                      and Krieg, Stefan and Kurth, Thorsten and Lellouch, Laurent
                      and Lippert, Thomas and Malak, Rehan and Métivet, Thibaut
                      and Portelli, Antonin and Sastre, Alfonso and Szabó,
                      Kálmán},
      title        = {{L}attice {QCD} at the physical point meets
                      ${SU}\left(2\right)$ chiral perturbation theory},
      journal      = {Physical review / D},
      volume       = {90},
      number       = {11},
      issn         = {1550-7998},
      address      = {[S.l.]},
      publisher    = {Soc.},
      reportid     = {FZJ-2014-07074},
      pages        = {114504},
      year         = {2014},
      note         = {arXiv:1310.3626},
      abstract     = {We perform a detailed, fully correlated study of the chiral
                      behavior of the pion mass and decay constant, based on 2+1
                      flavor lattice QCD simulations. These calculations are
                      implemented using tree-level, O(a)-improved Wilson fermions,
                      at four values of the lattice spacing down to 0.054 fm and
                      all the way down to below the physical value of the pion
                      mass. They allow a sharp comparison with the predictions of
                      SU(2) chiral perturbation theory (χPT) and a determination
                      of some of its low energy constants. In particular, we
                      systematically explore the range of applicability of
                      next-to-leading order (NLO) SU(2) χPT in two different
                      expansions: the first in quark mass (x expansion), and the
                      second in pion mass (ξ expansion). We find that these
                      expansions begin showing signs of failure for
                      Mπ≳300  MeV, for the typical percent-level precision
                      of our Nf=2+1 lattice results. We further determine the LO
                      low energy constants (LECs), F=88.0±1.3±0.2 and
                      BMS¯(2  GeV)=2.61(6)(1)  GeV, and the related quark
                      condensate, ΣMS¯(2  GeV)=(272±4±1  MeV)3, as
                      well as the NLO ones, ℓ¯3=2.6(5)(3) and ℓ¯4=3.7(4)(2),
                      with fully controlled uncertainties. We also explore the
                      next-to-next-to-leading order (NNLO) expansions and the
                      values of NNLO LECs. In addition, we show that the lattice
                      results favor the presence of chiral logarithms. We further
                      demonstrate how the absence of lattice results with pion
                      masses below 200 MeV can lead to misleading results and
                      conclusions. Our calculations allow a fully controlled, ab
                      initio determination of the pion decay constant with a total
                      $1\%$ error, which is in excellent agreement with
                      experiment.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411)},
      pid          = {G:(DE-HGF)POF2-411},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000348730800010},
      doi          = {10.1103/PhysRevD.90.114504},
      url          = {https://juser.fz-juelich.de/record/185649},
}