Low energy moments of heavy quark current correlators at four loops

Details Low energy moments of heavy quark current correlators at four loops Low energy moments of heavy quark current correlators at four loops

2009-07-13

arxiv.org/abs/0907.2117v1

Nucl.Phys.B824:1-18,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages

Scientific paper

10.1016/j.nuclphysb.2009.08.011

We describe several techniques for the calculation of multi-loop integrals and their application to heavy quark current correlators. As new results, we present the four-loop correction to the second and third physical moment in the low-energy expansions of vector, axial-vector and scalar quark current correlators. Using a Ward identity, we obtain the third and fourth moment for the pseudo-scalar correlator. We briefly discuss the impact of these results on the determination of the charm quark mass and the strong coupling constant using lattice simulations for the current correlators and of the charm- and bottom-quark mass from experimental data for \sigma(e^+ e^- -> hadrons).

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