TY - JOUR
T1 - Approximating chiral SU(3) amplitudes
AU - Ecker, Gerhard
AU - Masjuan, Pere
AU - Neufeld, Helmut
N1 - Funding Information:
We are grateful to Hans Bijnens for making the full results of Ref. [] accessible to us. We also thank Véronique Bernard, Claude Bernard, Hans Bijnens, Gilberto Colangelo, Elvira Gámiz, Laurent Lellouch, Heiri Leutwyler, Emilie Passemar and Lothar Tiator for helpful comments and suggestions. Special thanks are due to Elvira Gámiz for helping us to understand lattice data. Finally, we thank Hans Bijnens for suggesting several improvements for the original manuscript. P.M. acknowledges support from the Deutsche Forschungsgemeinschaft DFG through the Collaborative Research Center ‘The Low-Energy Frontier of the Standard Model’ (SFB 1044).
PY - 2014/2
Y1 - 2014/2
N2 - We construct large-N
c motivated approximate chiral SU(3) amplitudes of next-to-next-to-leading order. The amplitudes are independent of the renormalisation scale. Fitting lattice data with those amplitudes allows for the extraction of chiral coupling constants with the correct scale dependence. The differences between approximate and full amplitudes are required to be at most of the order of N
3LO contributions numerically. Applying the approximate expressions to recent lattice data for meson decay constants, we determine several chiral couplings with good precision. In particular, we obtain a value for F
0, the meson decay constant in the chiral SU(3) limit, that is more precise than all presently available determinations.
AB - We construct large-N
c motivated approximate chiral SU(3) amplitudes of next-to-next-to-leading order. The amplitudes are independent of the renormalisation scale. Fitting lattice data with those amplitudes allows for the extraction of chiral coupling constants with the correct scale dependence. The differences between approximate and full amplitudes are required to be at most of the order of N
3LO contributions numerically. Applying the approximate expressions to recent lattice data for meson decay constants, we determine several chiral couplings with good precision. In particular, we obtain a value for F
0, the meson decay constant in the chiral SU(3) limit, that is more precise than all presently available determinations.
UR - https://www.scopus.com/pages/publications/84897646617
U2 - 10.1140/epjc/s10052-014-2748-z
DO - 10.1140/epjc/s10052-014-2748-z
M3 - Article
SN - 1434-6044
VL - 74
SP - 1
EP - 12
JO - European Physical Journal C
JF - European Physical Journal C
IS - 2
M1 - 2748
ER -