Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order

Abstract

We calculate three-loop corrections to correlation functions of heavy-quark currents in the low- and high-energy regions. We present 30 coefficients both in the low-energy and the high-energy expansion of the scalar and the vector correlator with non-diagonal flavour structure. In addition we compute 30 coefficients in the high-energy expansion of the diagonal vector, axial-vector, scalar and pseudo-scalar correlators. Possible applications of our new results are improvements of lattice-based quark-mass determinations and the approximate reconstruction of the full momentum dependence of the correlators.

15 pages, 4 figures; corrected diagram in example and extended discussion

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Cited by in corpus (8)

• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• Thermal quarkonium physics in the pseudoscalar channel
• Moments of heavy quark correlators with two masses: exact mass dependence to three loops
• Life of Π
• NLO Effects for Doubly Heavy Baryon in QCD Sum Rules
• Hadronic contribution to the QED running coupling $\alpha (M_Z^2)$
• Three-Loop OPE Wilson Coefficients of Dimension-Four Operators for (Axial-)Vector and (Pseudo-)Scalar Current Correlators
• Low-energy moments of non-diagonal quark current correlators at four loops