COLLIER -- A fortran-library for one-loop integrals

@article{Denner2014COLLIERA,
  title={COLLIER -- A fortran-library for one-loop integrals},
  author={A. Denner and S. Dittmaier and L. Hofer},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2014}
}
We introduce the fortran-library COLLIER for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories. Important features are the implementation of dedicated methods to achieve numerical stability for 3- and 4-point tensor integrals, the support of complex masses for internal particles, and the possibility to choose between dimensional and mass regularization for infrared singularities. COLLIER supports one-loop N-point functions up to… Expand

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References

SHOWING 1-10 OF 33 REFERENCES
Golem95C: A library for one-loop integrals with complex masses
We present a program for the numerical evaluation of scalar integrals and tensor form factors entering the calculation of one-loop amplitudes which supports the use of complex masses in the loopExpand
Scalar one-loop 4-point integrals
Abstract We provide a complete set of results for the scalar 4-point function appearing in one-loop calculations in QCD, QED, the electroweak Standard Model and popular extensions thereof. ComplexExpand
An Automated Implementation of On-shell Methods for One-Loop Amplitudes
We present the first results from BlackHat, an automated C++ program for calculating one-loop amplitudes. The program implements the unitarity method and on-shell recursion to construct amplitudes.Expand
Scalar one-loop integrals for QCD
We construct a basis set of infra-red and/or collinearly divergent scalar one-loop integrals and give analytic formulas, for tadpole, bubble, triangle and box integrals, regulating the divergencesExpand
Masses, fermions and generalized D-dimensional unitarity
We extend the generalized D-dimensional unitarity method for numerical evaluation of one-loop amplitudes by incorporating massive particles. The issues related to extending the spinor algebra toExpand
Automated one-loop calculations with GoSam
We present the program package GoSam which is designed for the automated calculation of one-loop amplitudes for multi-particle processes in renormalisable quantum field theories. The amplitudes,Expand
Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W‐physics at LEP 200
We review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one-loop level. In particular we describe renormalization, calculation of one-loopExpand
Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level
Abstractsamurai is a tool for the automated numerical evaluation of one-loop corrections to any scattering amplitudes within the dimensional-regularization scheme. It is based on the decomposition ofExpand
Full one-loop amplitudes from tree amplitudes
We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized D-dimensional unitarity. It allows automated computations of both cut-constructible andExpand
Automation of one-loop QCD computations
We present the complete automation of the computation of one-loop QCD corrections, including UV renormalization, to an arbitrary scattering process in the Standard Model. This is achieved byExpand
...
1
2
3
4
...