TTP11-25 Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order

TTP11-25 Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order

TTP11-25 Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order

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.

A. Maier, P. Marquard
Nucl.Phys. B859 1-12 2012
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