Review of lattice results concerning low-energy particle physics

  • FLAG working group of FLAVIANET
  • G. ColangeloEmail author
  • S. Dürr
  • A. Jüttner
  • L. Lellouch
  • H. Leutwyler
  • V. Lubicz
  • S. Necco
  • C. T. Sachrajda
  • S. Simula
  • A. Vladikas
  • U. Wenger
  • H. Wittig


We review lattice results relevant for pion and kaon physics with the aim of making them easily accessible to the particle physics community. Specifically, we review the determination of the light-quark masses, the form factor f +(0), relevant for the semileptonic Kπ transition at zero momentum transfer as well as the ratio f K /f π of decay constants and discuss the consequences for the elements V us and V ud of the CKM matrix. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2) L ×SU(2) R and SU(3) L ×SU(3) R Chiral Perturbation Theory and review the determination of the B K parameter of neutral kaon mixing. We introduce quality criteria and use these when forming averages. Although subjective and imperfect, these criteria may help the reader to judge different aspects of current lattice computations. Our main results are summarized in Sect. 1.2, but we stress the importance of the detailed discussion that underlies these results and constitutes the bulk of the present review.


Quark Masse Chiral Symmetry High Energy Phys Chiral Perturbation Theory Twisted Mass 
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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2011

Authors and Affiliations

  • FLAG working group of FLAVIANET
  • G. Colangelo
    • 1
    Email author
  • S. Dürr
    • 2
    • 3
  • A. Jüttner
    • 4
  • L. Lellouch
    • 5
  • H. Leutwyler
    • 1
  • V. Lubicz
    • 6
  • S. Necco
    • 4
  • C. T. Sachrajda
    • 7
  • S. Simula
    • 8
  • A. Vladikas
    • 9
  • U. Wenger
    • 1
  • H. Wittig
    • 10
  1. 1.Albert Einstein Center for Fundamental Physics, Institut für Theoretische PhysikUniversität BernBernSwitzerland
  2. 2.Bergische Universität WuppertalWuppertalGermany
  3. 3.Jülich Supercomputing CentreForschungszentrum JülichJülichGermany
  4. 4.Physics Department, TH UnitCERNGeneva 23Switzerland
  5. 5.Centre de Physique ThéoriqueMarseilleFrance
  6. 6.Dipartimento di FisicaUniversità Roma Tre, and INFNRomeItaly
  7. 7.School of Physics and AstronomyUniversity of SouthamptonSouthamptonUK
  8. 8.INFN, Sezione di Roma TreRomeItaly
  9. 9.INFN, Sezione di Tor Vergata, c/o Dipartimento di FisicaUniversità di Roma Tor VergataRomeItaly
  10. 10.Institut für Kernphysik and Helmholtz Institute MainzUniversity of MainzMainzGermany

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