Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order
arXiv:1110.5581 · doi:10.1016/j.nuclphysb.2012.01.021
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