Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Patterns of flavour symmetry breaking in hadron matrix elements
  involving u, d and s quarks   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 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 quark-line-connected and quark-line disconnected terms in
the 3-point correlation functions is also given. As we consider Wilson
clover-like 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 flavour-conserving matrix elements of the vector first class form
factors.

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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio