Isospin breaking in octet baryon mass splittings

Abstract

Using an SU(3) flavour symmetry breaking expansion in the quark mass, we determine the QCD component of the nucleon, Sigma and Xi mass splittings of the baryon octet due to up-down (and strange) quark mass differences in terms of the kaon mass splitting. Provided the average quark mass is kept constant, the expansion coefficients in our procedure can be determined from computationally cheaper simulations with mass degenerate sea quarks and partially quenched valence quarks. Both the linear and quadratic terms in the SU(3) flavour symmetry breaking expansion are considered; it is found that the quadratic terms only change the result by a few percent, indicating that the expansion is highly convergent.

31 pages, 8 figures, published version

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• QED effects in the pseudoscalar meson sector
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks
• Review on the inclusion of isospin breaking effects in lattice calculations
• Inclusion of isospin breaking effects in lattice simulations
• Quantifying the sensitivity of Big Bang Nucleosynthesis to isospin breaking with input from lattice QCD
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• Strong CP Violation and large-$N_c$ spin-flavor symmetry
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