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Integration in the Complex s-Plane

Name: Integration in the Complex s-Plane
Creator: Cesareo A. Dominguez

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2018Publisher:Springer International Publishing

Authors: Cesareo A. Dominguez;

doi: 10.1007/978-3-319-97722-5_4

Integration in the Complex s-Plane

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Abstract

In the QCD FESR, Eq. 1.13, the integral around the circle of radius \(|s_0|\) can be performed in two ways, named Fixed Order Perturbation Theory (FOPT), and Contour Improved Perturbation Theory (CIPT). In FOPT the strong coupling is frozen on the circle, i.e. at \(s = |s_0|\), and the renormalization group (RG) improvement, \((\mu ^2 = q^2)\), in all logarithms is performed after integration.

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University of Cape Town
South Africa

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