Multiloop calculations with Implicit Regularization in massless theories

Details Multiloop calculations with Implicit Regularization in massless theories Multiloop calculations with Implicit Regularization in massless theories

2009-12-22

arxiv.org/abs/0912.4396v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure, journal reference: Braz.J.Phys.40:228-234,2010

Scientific paper

We establish a systematic way to calculate multiloop amplitudes of infrared safe massless models with Implicit Regularization (IR), with a direct cancelation of the fictitious mass introduced by the procedure. The ultraviolet content of such amplitudes have a simple structure and its separation permits the identification of all the potential symmetry violating terms, the surface terms. Moreover, we develop a technique for the calculation of an important kind of finite multiloop integral which seems particularly convenient to use Feynman parametrization. Finally, we discuss the Implicit Regularization of infrared divergent amplitudes, showing with an example how it can be dealt with an analogous procedure in the coordinate space.

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