Abstract
We have performed fits of the pseudoscalar masses and decay constants,
from a variety of the RBC-UKQCD Collaboration's domain wall fermion
ensembles, to S U (2 ) partially quenched chiral perturbation theory at
next-to-leading order (NLO) and next-to-next-to-leading order (NNLO). We
report values for nine NLO and eight linearly independent combinations
of NNLO partially quenched low-energy constants, which we compare to
other lattice and phenomenological determinations. We discuss the size
of successive terms in the chiral expansion and use our large set of
low-energy constants to make predictions for mass splittings due to QCD
isospin-breaking effects and the S-wave π π scattering lengths. We
conclude that, for the range of pseudoscalar masses explored in this
work, 115 MeV ≲mPS≲430 MeV , the NNLO S U (2 )
expansion is quite robust and can fit lattice data with percent-scale
accuracy.
Original language | English |
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Pages (from-to) | 54502 |
Journal | Physical Review D, particles, fields, gravitation, and cosmology |
Volume | 93 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 Mar 2016 |