Light hadron spectrum and quark masses

Abstract

Recent developments in lattice QCD calculations of the light hadron spectrum and quark masses are reviewed.

Continuum determination of light quark masses from quenched lattice QCD

“…( 18) and ( 19) are in agreement with the recent extensive lattice QCD calculations of the quark masses performed by using Wilson fermions in the quenched approximation [20]- [22]. They are also in good agreement with the current lattice world averages, presented in the reviews [6,7] and in the 2002 Review of Particle Physics [23]. The main feature of the present study is, in our opinion, the special attention dedicated to the reduction and control of the systematic uncertainties within the quenched approximation.…”

“…in good agreement with the current lattice world averages [6,7]. For the ratio of the strange to the average light quark mass we find…”

“…where the bare axial current is improved at O(a) as 5) and (7), are only functions of the bare lattice coupling g 2 0 .…”

“…For each value of the hopping parameter, we also present in table 2 the corresponding values of the VWI and AWI quark masses, defined in eqs. ( 5) and (7), renormalized in the RI/MOM scheme at the scale µ = 3 GeV.…”

QCD Short-distance constraints and hadronic approximations

“…The input we use for qq χ is the value derived from sum rules in Ref. [19], which is in agreement with most recent sum rules determinations of this condensate and of light quark masses -see [20] for instance-and the lattice light quark masses world average in [21]. The value of F 0 is from Ref.…”