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arXiv · hep-lat/0309094

Quark mass dependence of pseudoscalar masses and decay constants

q Collaboration·F. Farchioni·C. Gebert·I. Montvay·E. Scholz·L. Scorzato
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Abstract

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 $β=5.1$ 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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q Collaboration, F. Farchioni, C. Gebert, I. Montvay, E. Scholz, L. Scorzato. 2003-09-15. Quark mass dependence of pseudoscalar masses and decay constants. https://doi.org/10.1016/s0920-5632(03)02522-2

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