By considering a flavour expansion about the SU(3)-flavour symmetric point, we investigate how flavour-blindness constrains octet baryon matrix elements after SU(3) is broken by the mass difference between the strange and light quarks. We find the expansions to be highly constrained along a mass trajectory where the singlet quark mass is held constant, which proves beneficial for extrapolations of 2+1 flavour lattice data to the physical point. We investigate these effects numerically via a lattice calculation of the flavour-conserving and flavour-changing matrix elements of the vector and axial operators between octet baryon states.
@article{arxiv.1212.2564,
title = {The effects of flavour symmetry breaking on hadron matrix elements},
author = {A. N. Cooke and R. Horsley and Y. Nakamura and D. Pleiter and P. E. L. Rakow and G. Schierholz and J. M. Zanotti},
journal= {arXiv preprint arXiv:1212.2564},
year = {2012}
}
Comments
14 pages, 5 figures, proceedings of the 30th International Symposium on Lattice Field Theory, June 24-29, 2012, Cairns, Australia, PoS(Lattice 2012)116