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

By Ansgar Denner, Stefan Dittmaier, Lars Hofer. 2014

138 citations recorded by the source corpus.

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 currently N=6 and has been tested in various NLO QCD and EW calculations.

Subfields: Biomedical Engineering, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/15065133813cb0efa2aa0047cd2ca253e1119b6e

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Citations in the corpus

NLO QCD+EW predictions for V + jets including off-shell vector-boson decays and multijet merging (2015, methodology): “Combined with the Collier tensor reduction library [59], which implements the Denner-Dittmaier reduction techniques [60, 61] and the scalar integrals of [62], the employed recursion permits to achieve very high CPU performance and a high degree of numerical stability.”
W+W− production at the LHC: fiducial cross sections and distributions in NNLO QCD (2015, methodology): “For the numerically stable evaluation of tensor integrals we employ the Collier library [27, 28, 46], which is based on the Denner-Dittmaier”
Mass effects in the Higgs-gluon coupling: boosted vs. off-shell production (2014, methodology): “In this paper we extend this implementation by top (and bottom) mass effects at leading order accuracy by using loop–level matrix elements provided by OpenLoops [90–93], which we use for reweighting the effective theory.”
W±Z production at the LHC: fiducial cross sections and distributions in NNLO QCD (2016, methodology): “For the numerically stable evaluation of tensor integrals we employ the Collier library [27,28,46], which is based on the Denner–Dittmaier reduction techniques [47,48] and the scalar integrals of Ref.”
Electroweak radiative corrections for collider physics (2019, methodology): “To this end, it uses Ninja [253], Samurai [252], and CutTools [239] or the internal tensor-integral library IREGI, PJFry [219], Golem95C [226], and Collier [228, 229], respectively.”
OpenLoops 2 (2019, methodology): “In the original open-loop algorithm—which was used throughout in OpenLoops 1 and is still used in OpenLoops 2 for squared loop amplitudes and tree–loop interferences in the HEFT—the reduction to scalar integrals is entirely based on external libraries, and the best option is to carry out the reducti”
NLO electroweak automation and precise predictions for W + multijet production at the LHC (2014, methodology): “To this end, OpenLoops is interfaced with the Collier library [82], which implements the Denner-Dittmaier reduction techniques [83, 84] and the scalar integrals of [85].”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, methodology): “pT [250, 400] p V T [250, 400] p V T [250, 400] pT [400,∞] pT [400,∞] pT [400,∞]”
Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, methodology): “Recola and Recola2 implement such an algorithm for computing tensor coefficients numerically for arbitrary processes in the SM and beyond, respectively, while the tensor integrals are obtained by means of the Collier library [546, 547].”