Is the up-quark massless?
Abstract
We report on determinations of the low-energy constants α5 and α8 in the effective chiral Lagrangian at O(p4), using lattice simulations with Nf=2 flavours of dynamical quarks. Precise knowledge of these constants is required to test the hypothesis whether or not the up-quark is massless. Our results are obtained by studying the quark mass dependence of suitably defined ratios of pseudoscalar meson masses and matrix elements. Although comparisons with an earlier study in the quenched approximation reveal small qualitative differences in the quark mass behaviour, numerical estimates for α5 and α8 show only a weak dependence on the number of dynamical quark flavours. Our results disfavour the possibility of a massless up-quark, provided that the quark mass dependence in the physical three-flavour case is not fundamentally different from the two-flavour case studied here.
- Publication:
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Physics Letters B
- Pub Date:
- October 2001
- DOI:
- 10.1016/S0370-2693(01)01062-0
- arXiv:
- arXiv:hep-lat/0107023
- Bibcode:
- 2001PhLB..518..243U
- Keywords:
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- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- references added, typos corrected