Abstract
In this paper we consider a special class of Passarino-Veltman functions which appear during the reduction of the box-type diagrams with infrared divergences and mass singularities. A systematic procedure has been proposed to separate both types of singularities into sthe simplest objects: C 0 functions. New J A functions are certain linear combinations of the standard D 0 and C 0 functions, which are free from all types of singularities, and they have a compact expression in terms of logarithms and dilogarithms. Our results have been numerically compared with the calculations using the well-known package LoopTools.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Passarino and M. J. G. Veltman, “One Loop Corrections for e + e − Annihilation into μ+μ− in the Weinberg Model,” Nucl. Phys. B 160, 151 (1979).
D. Y. Bardin and G. Passarino, The Standard Model in the Making: Precision Study of the Electroweak Interactions (Clarendon, Oxford, 1999).
A. Andonov et al., “SANCscope v.1.00,” Comput. Phys. Commun. 174, 481–517 (2006).
D. Bardin et al., “SANCnews: Sector f f b b,” Comput. Phys. Commun. 177, 738–756 (2007).
D. Bardin et al., “Electroweak Radiative Corrections to the Three Channels of the Process f_1 bar-f_1 ZA -> 0,” Eur. Phys. J. C 54, 187–197 (2008).
T. Hahn and M. Perez-Victoria, “Automatized One-Loop Calculations in Four and D Dimensions,” Comput. Phys. Commun. 118, 153–165 (1999).
G. J. van Oldenborgh and J. A. M. Vermaseren, “New Algorithms for One Loop Integrals,” Z. Phys. C 46, 425–438 (1990).
L. M. Brown and R. P. Feynman, “Radiative Corrections to Compton Scattering,” Phys. Rev. 85, 231–244 (1952).
Author information
Authors and Affiliations
Additional information
Original Russian Text © D.Yu. Bardin, L.V. Kalinovskaya, L.A. Rumyantsev, 2009, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2009, No. 1 (149), pp. 54–71.
Rights and permissions
About this article
Cite this article
Bardin, D.Y., Kalinovskaya, L.V. & Rumyantsev, L.A. J A functions in the Passarino-Veltman reduction. Phys. Part. Nuclei Lett. 6, 30–41 (2009). https://doi.org/10.1134/S1547477109010063
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477109010063