Separation of soft and collinear singularities from one-loop \(N\)-point integrals. (English) Zbl 1097.81668
Summary: The soft and collinear singularities of general scalar and tensor one-loop \(N\)-point integrals are worked out explicitly. As a result a simple explicit formula is given that expresses the singular part in terms of 3-point integrals. Apart from predicting the singularities, this result can be used to transfer singular one-loop integrals from one regularization to another or to subtract soft and collinear singularities from one-loop Feynman diagrams directly in momentum space.
MSC:
| 81T18 | Feynman diagrams |
References:
| [1] | Dittmaier, S., Report of the “Loopverein” and “Monte Carlo event generators” working groups of the extended ECFA/DESY study, in: Proceedings of the 4th ECFA/DESY Workshop on Physics and Detectors for a 90-800 GeV Linear \(e^+e^−\) Collider, NIKHEF, Amsterdam, The Netherlands, April 2003, in press |
| [2] | Melrose, D. B., Nuovo Cimento XL A, 181 (1965) |
| [3] | Duplancic, G.; Nizic, B. |
| [4] | Denner, A., Fortschr. Phys., 41, 307 (1993) |
| [5] | Denner, A.; Dittmaier, S., Nucl. Phys. B, 658, 175 (2003) · Zbl 1027.81517 |
| [6] | Passarino, G.; Veltman, M., Nucl. Phys. B, 160, 151 (1979) |
| [7] | Kinoshita, T., J. Math. Phys., 3, 650 (1962) · Zbl 0118.44501 |
| [8] | Beenakker, W.; Dittmaier, S.; Krämer, M.; Plümper, B.; Spira, M.; Zerwas, P. M., Nucl. Phys. B, 653, 151 (2003) |
| [9] | Lee, T. D.; Nauenberg, M., Phys. Rev., 133, B1549 (1964) |
| [10] | Catani, S.; Dittmaier, S.; Seymour, M. H.; Trócsányi, Z., Nucl. Phys. B, 627, 189 (2002) · Zbl 0990.81140 |
| [11] | Catani, S.; Dittmaier, S.; Trócsányi, Z., Phys. Lett. B, 500, 149 (2001) · Zbl 0972.81667 |
| [12] | ’t Hooft, G.; Veltman, M. J., Nucl. Phys. B, 153, 365 (1979) |
| [13] | Ferroglia, A.; Passera, M.; Passarino, G.; Uccirati, S., Nucl. Phys. B, 650, 162 (2003) · Zbl 1005.81059 |
| [14] | Roth, M.; Denner, A., Nucl. Phys. B, 479, 495 (1996) |
| [15] | Denner, A.; Dittmaier, S.; Roth, M.; Weber, M. M., Nucl. Phys. B, 660, 289 (2003) |
| [16] | Denner, A.; Dittmaier, S.; Roth, M.; Weber, M. M. |
| [17] | Beenakker, W.; Denner, A., Nucl. Phys. B, 338, 349 (1990) |
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