Quark mass dependence of pseudoscalar masses and decay constants

Details Quark mass dependence of pseudoscalar masses and decay constants Quark mass dependence of pseudoscalar masses and decay constants

2003-09-15

arxiv.org/abs/hep-lat/0309094v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages. Lattice2003(Spectrum)

Scientific paper

The dependence of pseudo-scalar masses and decay constants on the sea and valence quark masses is investigated in the pseudo-Goldstone boson sector of QCD with two light quark flavours. The sea quark masses are at present in the range ${1/3}m_s \leq m_{ud} \leq {2/3}m_s$ whereas the valence quark masses satisfy ${1/2}m_{sea} \leq m_{val} \leq 2m_{sea}$. The values of the Gasser-Leutwyler low energy constants $L_4$, $L_5$, $L_6$ and $L_8$ are estimated. The computation is done with the Wilson-quark lattice action at gauge coupling $\beta=5.1$ on $16^4$ lattices. ${\cal O}(a)$ effects are taken into account by applying chiral perturbation theory for the Wilson lattice action as proposed by Rupak and Shoresh.

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