Speaker
Mr
David Murphy
(Columbia University)
Description
We have performed global fits of $f_\pi$ and $m_\pi$, from a variety of RBC-UKQCD domain wall fermion ensembles, to $SU(2)$ partially quenched chiral perturbation theory at NNLO. We report values for 9 NLO and 8 linearly independent combinations of NNLO partially quenched low energy constants, which we compare to other lattice and phenomenological determinations. We discuss the convergence of the expansion and use our large set of low energy constants to make predictions for the pion mass splitting due to QCD isospin breaking effects and the S-wave $\pi \pi$ scattering lengths. Finally, we discuss the effects of including lattice results for the $I=2$ $\pi \pi$ scattering length in our chiral fits.
Primary author
Mr
David Murphy
(Columbia University)
Co-author
Robert Mawhinney
(Columbia University)
