Eur. Phys. J. C (2017) 77: 471
https://doi.org/10.1140/epjc/s10052-017-5023-2

Regular Article - Theoretical Physics

To , or not to : recent developments and comparisons of regularization schemes

¹ Paul Scherrer Institut, 5232, Villigen, PSI, Switzerland
² Physik-Institut, Universität Zürich, 8057, Zürich, Switzerland
³ Institut für Kern- und Teilchenphysik, TU Dresden, 01062, Dresden, Germany
⁴ Physik Department T31, Technische Universität München, 85748, Garching, Germany
⁵ Centro de Ciências Naturais e Humanas, UFABC, 09210-170, Santo André, Brazil
⁶ Insituto de Física Corpuscular, UVEG–CSIC, Universitat de València, 46980, Paterna, Spain
⁷ Departamento de Física, Universidad Nacional de Colombia, Bogotá D.C., Colombia
⁸ CFisUC, Department of Physics, University of Coimbra, 3004-516, Coimbra, Portugal
⁹ Dipartimento di Fisica ed Astronomia, Università di Padova, 35131, Padua, Italy
¹⁰ INFN, Sezione di Padova, 35131, Padua, Italy
¹¹ Higgs Centre for Theoretical Physics, The University of Edinburgh, Edinburgh, EH9 3FD, UK
¹² Dep. de Física Teórica y del Cosmos and CAFPE, Universidad de Granada, 18071, Granada, Spain
¹³ Departamento de Fïsica, ICEX, UFMG, 30161-970, Belo Horizonte, Brazil
¹⁴ Dipartimento di Fisica, Università di Milano, 20133, Milan, Italy
¹⁵ INFN, Sezione di Milano, 20133, Milan, Italy
¹⁶ Dipartimento di Fisica, Università di Napoli, 80126, Naples, Italy
¹⁷ INFN, Sezione di Napoli, 80126, Naples, Italy

^* e-mail: Christoph.Gnendiger@psi.ch

Received: 5 May 2017
Accepted: 24 June 2017
Published online: 14 July 2017

Abstract

We give an introduction to several regularization schemes that deal with ultraviolet and infrared singularities appearing in higher-order computations in quantum field theories. Comparing the computation of simple quantities in the various schemes, we point out similarities and differences between them.