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We compute, for the first time, the absorptive part of the masslesscorrelator of two quark scalar currents in five loops. As physical applicationswe consider the O(alpha_s^4) corrections to the decay rate of the StandardModel Higgs boson into quarks, as well as the constraints on the strange quarkmass following from QCD sum rules.

physical review letters

Scalar Correlator at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>4</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math>, Higgs Boson Decay into Bottom Quarks, and Bounds on the Light-Quark Masses

Scalar Correlator atO(αs4), Higgs Boson Decay into Bottom Quarks, and Bounds on the Light-Quark Masses