Speaker
Paul Rakow
(University of Liverpool)
Description
The QCD interaction is flavour-blind. Neglecting electromagnetic and weak interactions, the only difference between flavours comes from the mass matrix. We investigate how flavour-blindness constrains hadron masses after flavour SU(3) is broken by the mass difference between the strange and light quarks, to help us extrapolate 2+1 flavour lattice data to the physical point.
We have our best theoretical understanding when all three quark flavours have the same masses (because we can use the full power of flavour SU(3)); nature presents us with just one instance of the theory, with m_s/m_l ~ 25. We are interested in interpolating between these two cases.
We consider possible behaviours near the symmetric point, and find that flavour blindness is particularly helpful if we approach the physical point along a path with m_u + m_d + m_s held constant. We also show that on this trajectory the errors of the partially quenched approximation are much smaller than on other trajectories.
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Primary author
Paul Rakow
(University of Liverpool)
