Multiloop calculations with Implicit Regularization in massless theories

Abstract

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.

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

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Cited by in corpus (5)

• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Momentum routing invariance in Feynman diagrams and quantum symmetry breakings
• Subtleties in the beta function calculation of N=1 supersymmetric gauge theories
• Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach
• Advances towards the systematization of calculations with Implicit Regularization