Flavour symmetry breaking and tuning the strange quark mass for 2+1 quark flavours

Details Flavour symmetry breaking and tuning the strange quark mass for 2+1 quark flavours Flavour symmetry breaking and tuning the strange quark mass for 2+1 quark flavours

2010-12-20

arxiv.org/abs/1012.4371v1

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 11 figures. Contribution to Lattice2010, Villasimius, Italy

Scientific paper

QCD lattice simulations with 2+1 flavours typically start at rather large up-down and strange quark masses and extrapolate first the strange quark mass to its physical value and then the up-down quark mass. An alternative method of tuning the quark masses is discussed here in which the singlet quark mass is kept fixed, which ensures that the kaon always has mass less than the physical kaon mass. Using group theory the possible quark mass polynomials for a Taylor expansion about the flavour symmetric line are found, which enables highly constrained fits to be used in the extrapolation of hadrons to the physical pion mass. Numerical results confirm the usefulness of this expansion and an extrapolation to the physical pion mass gives hadron mass values to within a few percent of their experimental values.

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