One-Loop Tensor Integrals in Dimensional Regularisation
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TL;DR: In this paper, tensor integrals and associated scalar integral combinations for processes where the internal particles are massless and where up to five (four massless, one massive) external particles are involved are presented.
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About: This article is published in Nuclear Physics. The article was published on 04 Aug 1997. and is currently open access. The article focuses on the topics: Volume integral & Slater integrals.
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Citations
Reduction schemes for one-loop tensor integrals
Ansgar Denner,Stefan Dittmaier +1 more
TL;DR: In this article, the authors presented new methods for the evaluation of one-loop tensor integrals, which have been used in the calculation of the complete electroweak oneloop corrections to e + e − → 4 fermions.
743
Reduction of one-loop tensor 5-point integrals
Ansgar Denner,Stefan Dittmaier +1 more
TL;DR: In this article, a new method for the reduction of one-loop tensor 5-point integrals to related 4-point Integrals is proposed, which avoids the occurrence of inverse Gram determinants, which potentially cause severe numerical instabilities in practical calculations.
442
Reduction of one-loop tensor 5-point integrals
Ansgar Denner,Stefan Dittmaier +1 more
TL;DR: In this article, a new method for the reduction of one-loop tensor 5-point integrals to related 4-point Integrals is proposed, which avoids the occurrence of inverse Gram determinants, which potentially cause severe numerical instabilities in practical calculations.
320
Electroweak radiative corrections for collider physics
Ansgar Denner,Stefan Dittmaier +1 more
TL;DR: In this paper, a review of the field of electroweak corrections is presented, focusing on renormalization, one-loop techniques, modern amplitude methods and tools, separation of infrared singularities in real-emission corrections, electroweak issues connected with hadronic initial or final states in collisions, and the issue of unstable particles in quantum field theory together with corresponding practical solutions.
236
References
Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
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One-loop corrections for e + e - annihilation into μ + μ - in the Weinberg model
G. Passarino,M.J.G. Veltman +1 more
TL;DR: In this article, the e + e − → μ + μ − cross section including all the one-loop radiative corrections in the context of the Weinberg model is presented.
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A new algorithm for adaptive multidimensional integration
TL;DR: A new general purpose algorithm for multidimensional integration is described, an iterative and adaptive Monte Carlo scheme that is considerably more efficient than several others currently in use for a number of sample integrals of high dimension.
1.8K
Scalar One Loop Integrals
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, the general one-loop scalar scalar one-, two-, three-and four-point functions are studied and an integral occurring in connection with soft bremsstrahlung is considered.
1.6K