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

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

2011-10-25

arxiv.org/abs/1110.5581v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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.

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