Strange quark condensate from QCD sum rules to five loops

Details Strange quark condensate from QCD sum rules to five loops Strange quark condensate from QCD sum rules to five loops

2007-11-26

arxiv.org/abs/0711.3962v2

JHEP 0802:072,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor changes to Sections 2 and 6

Scientific paper

10.1088/1126-6708/2008/02/072

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 $R_{su} = \frac{<\bar{s} s>}{<\bar{q} q>}$ with ($q=u,d$). 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 $\Lambda_{QCD}$, and to a major extent the strange quark mass. From the positivity of $R_{su}$ there follows an upper bound on the latter: $\bar{m_{s}} (2 {GeV}) \leq 121 (105) {MeV}$, for $\Lambda_{QCD} = 330 (420) {MeV} .$

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