Asymptotic expansion of Feynman integrals near threshold

Details Asymptotic expansion of Feynman integrals near threshold Asymptotic expansion of Feynman integrals near threshold

1997-11-19

arxiv.org/abs/hep-ph/9711391v1

Nucl.Phys. B522 (1998) 321-344

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, LaTeX, 4 figures included via epsf.sty

Scientific paper

10.1016/S0550-3213(98)00138-2

We present general prescriptions for the asymptotic expansion of massive multi-loop Feynman integrals near threshold. As in the case of previously known prescriptions for various limits of momenta and masses, the terms of the threshold expansion are associated with subgraphs of a given graph and are explicitly written through Taylor expansions of the corresponding integrands in certain sets of parameters. They are manifestly homogeneous in the threshold expansion parameter, so that the calculation of the given Feynman integral near the threshold reduces to the calculation of integrals of a much simpler type. The general method is illustrated by two-loop two-point and three-point diagrams. We discuss the use of the threshold expansion for problems of physical interest, such as the next-to-next-to-leading order heavy quark production cross sections close to threshold and matching calculations and power counting in non-relativistic effective theories.

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