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Abstract
By considering a flavour expansion about the SU(3)flavour symmetric point, we investigate how flavourblindness constrains octet baryon matrix elements after SU(3) is broken by the mass difference between quarks. Similarly to hadron masses we find the expansions to be constrained along a mass trajectory where the singlet quark mass is held constant, which provides invaluable insight into the mechanism of flavour symmetry breaking and proves beneficial for extrapolations to the physical point. Expansions are given up to third order in the expansion parameters. Considering higher orders would give no further constraints on the expansion parameters. The relation of the expansion coefficients to the quarklineconnected and quarkline disconnected terms in the 3point correlation functions is also given. As we consider Wilson cloverlike fermions, the addition of improvement coefficients is also discussed and shown to be included in the formalism developed here. As an example of the method we investigate this numerically via a lattice calculation of the flavourconserving matrix elements of the vector first class form factors.
Original language  English 

Article number  114516 
Number of pages  70 
Journal  Physical Review D  Particles, Fields, Gravitation and Cosmology 
Volume  100 
Issue number  11 
DOIs  
Publication status  Published  30 Dec 2019 
Keywords
 heplat
 hepph
 nuclth
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Dive into the research topics of 'Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks'. Together they form a unique fingerprint.Projects
 1 Finished

Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research