Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCD

Abstract

We present the result for the first moment of the scalar and axial-vector current correlator in third order of the strong coupling constant alpha_s and give the details of a recent evaluation of the pseudo-scalar correlator. The results can be used to reduce the theoretical uncertainty due to higher order corrections for the determination of fundamental parameters of QCD in the context of lattice calculations.

12 pages, 1 figure

References in corpus (10)

• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Charm and Bottom Quark Masses from Perturbative QCD
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Extension of the functionality of the symbolic program FORM by external software
• Standard and epsilon-finite Master Integrals for the rho-Parameter

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• Precise Charm- and Bottom-Quark Masses: Recent Updates
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• New Methods for the Calculation of Multi-Loop Amplitudes