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arXiv:1212.2564·v1·High Energy Physics — Lattice

The effects of flavour symmetry breaking on hadron matrix elements

A.N. Cooke🇬🇧 · R. Horsley🇬🇧 · Y. Nakamura🇯🇵 · D. Pleiter🇩🇪 · P.E.L. Rakow🇬🇧 · G. Schierholz🇩🇪 · J.M. Zanotti🇦🇺

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Abstract

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.

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

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