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arXiv · hep-ph/0209149

Solving Renormalization Group Equations by Recursion Relations

A. Cafarella·C. Coriano'·M. Guzzi
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Abstract

Renormalization Group Equations in integro-differential form describing the evolution of cascades or resumming logarithmic scaling violations have been known in quantum field theory for a long time. These equations have been traditionally solved by turning to Mellin moments, since in this space they become algebraic. x-space solutions are less known, but special asymptotic expansions exists which allow a fast numerical implementation of these equations. We illustrate how the equations can be solved using recursion relations in the next-to-leading order approximation.

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A. Cafarella, C. Coriano', M. Guzzi. 2002-09-13. Solving Renormalization Group Equations by Recursion Relations. https://doi.org/10.1142/9789812704467_0022

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