Strange quark condensate from QCD sum rules to five loops

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Published 19 February 2008 Published under licence by IOP Publishing Ltd
, , Citation Cesareo A. Dominguez et al JHEP02(2008)072 DOI 10.1088/1126-6708/2008/02/072

1126-6708/2008/02/072

Abstract

It is argued that it is valid to use QCD sum rules to determine the scalar and pseudoscalar two-point functions at zero momentum, which in turn determine the ratio of the strange to non-strange quark condensates Rsu = ⟨bar ss⟩/⟨bar qq⟩ with (q = ud). This is done in the framework of a new set of QCD Finite Energy Sum Rules (FESR) that involve as integration kernel a second degree polynomial, tuned to reduce considerably the systematic uncertainties in the hadronic spectral functions. As a result, the parameters limiting the precision of this determination are ΛQCD, and to a major extent the strange quark mass. From the positivity of Rsu there follows an upper bound on the latter: (2 GeV) ⩽ 121 (105) MeV, for ΛQCD = 330 (420) MeV.

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10.1088/1126-6708/2008/02/072