Moments of heavy quark correlators with two masses: exact mass dependence to three loops

2012/06/15 by Jonathan Grigo, Jens Hoff, Peter Marquard +1 · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2012.07.007

22 pages, 9 figures

arxiv created 2012/06/15 · arxiv updated 2015/06/05

Abstract

We compute moments of non-diagonal correlators with two massive quarks. Results are obtained where no restriction on the ratio of the masses is assumed. Both analytical and numerical methods are applied in order to evaluate the two-scale master integrals at three loops. We provide explicit results for the latter which are useful for other calculations. As a by-product we obtain results for the electroweak ρ parameter up to three loops which can be applied to a fourth generation of quarks with arbitrary masses.

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