Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third order for first-class currents.
The effects of flavour symmetry breaking on hadron matrix elements
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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.
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Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks
Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third order for first-class currents.