English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We have performed fits of the pseudoscalar masses and decay constants, from avariety of RBC-UKQCD domain wall fermion ensembles, to $SU(2)$ partiallyquenched chiral perturbation theory at next-to leading order (NLO) andnext-to-next-to leading order (NNLO). We report values for 9 NLO and 8 linearlyindependent combinations of NNLO partially quenched low energy constants, whichwe compare to other lattice and phenomenological determinations. We discuss thesize of successive terms in the chiral expansion and use our large set of lowenergy constants to make predictions for mass splittings due to QCD isospinbreaking effects and the S-wave $\pi \pi$ scattering lengths. We conclude that,for the range of pseudoscalar masses explored in this work, $115~\mathrm{MeV}\lesssim m_{\rm PS} \lesssim 430~\mathrm{MeV}$, the NNLO $SU(2)$ expansion isquite robust and can fit lattice data with percent-scale accuracy.

The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_{f}=2+1$ Domain Wall QCD