A novel approach to the computation of one-loop three- and four-point functions: I. The real mass case

Abstract This article is the first of a series of three presenting an alternative method of computing the one-loop scalar integrals. This novel method enjoys a couple of interesting features as compared with the method closely following ’t Hooft and Veltman adopted previously. It directly proceeds i...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2019-11, Vol.2019 (11)
Main Authors: Guillet, J Ph, Pilon, E, Shimizu, Y, Zidi, M S
Format: Article
Language:English
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Summary:Abstract This article is the first of a series of three presenting an alternative method of computing the one-loop scalar integrals. This novel method enjoys a couple of interesting features as compared with the method closely following ’t Hooft and Veltman adopted previously. It directly proceeds in terms of the quantities driving algebraic reduction methods. It applies to the three-point functions and, in a similar way, to the four-point functions. It also extends to complex masses without much complication. Lastly, it extends to kinematics more general than that of the physical, e.g., collider processes relevant at one loop. This last feature may be useful when considering the application of this method beyond one loop using generalized one-loop integrals as building blocks.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptz114