OneLOop: For the evaluation of one-loop scalar functions

By A. Hameren. Computer Physics Communications, 2010

345 citations recorded by the source corpus.

Abstract OneLOop is a program to evaluate the one-loop scalar 1-point, 2-point, 3-point and 4-point functions, for all kinematical configurations relevant for collider-physics, and for any non-positive imaginary parts of the internal squared masses. It deals with all UV and IR divergences within dimensional regularization. Furthermore, it provides routines to evaluate these functions using straightforward numerical integration. Program summary Program title: OneLOop Catalogue identifier: AEJO_v1_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEJO_v1_0.html Program obtainable from: CPC Program Library, Queenʼs University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 12 061 No. of bytes in distributed program, including test data, etc.: 74 163 Distribution format: tar.gz Programming language: Fortran Computer: Workstations Operating system: Linux, Unix RAM: Negligible Classification: 4.4, 11.1 Nature of problem: In order to reach next-to-leading order precision in the calculation of cross sections of hard scattering processes, one-loop amplitudes have to be evaluated. This is done by expressing them as linear combination of one-loop scalar functions. In a concrete calculation, these functions eventually have to be evaluated. If the scattering process involves unstable particles, consistency requires the evaluation of these functions with complex internal masses. Solution method: Expressions for the one-loop scalar functions in terms of single-variable analytic functions existing in literature have been implemented. Restrictions: The applicability is restricted to the kinematics occurring in collider-physics. Running time: The evaluation of the most general 4-point function with 4 complex masses takes about 180 μs, and the evaluation of the 4-point function with 4 real masses takes about 18 μs on a 2.80 GHz Intel Xeon processor.

Subfields: Artificial Intelligence, Computer Networks and Communications, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1c84df190ec91103a1941a01bdd7a3a79bc90f0b

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Citations in the corpus

Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies (2016, methodology): “NNEY [82]. For the reduction of the tensor integrals at running time, we used NINJA [83,84], which is an automated package carrying out the integrand reduction via Laurent expansion [85], and ONELOOP [86] for the evaluation of the scalar integrals. Unstable phase space points are detected automatica”
The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations (2014, background): “ such scalar integrals in terms of lower-point ones, till only integrals that cannot be further reduced are obtained – these are just a few and well known: IREGImakes use of those tabulated in OneLoop[371] and QCDloop[372]. One way of performing such recursive reduction stems from the pioneering wor”
Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order (2010, methodology): “At the one-loop level the appearance of a non-zero top-quark width in the propagator requires the evaluation of scalar integrals with complex masses, for which the program OneLOop [54, 58 ] is used.”
Fully differential NNLO computations with MATRIX (2017, methodology): “. The latter vanish in the limit r cut !0 6OpenLoops relies on the fast and stable tensor reduction of Collier [88,89], supported by a rescue system based on quad-precision CutTools [90] with OneLOop [91] to deal with exceptional phase-space points. 7On the same basis Matrix automates also the small”
The automation of next-to-leading order electroweak calculations (2018, methodology): “d: > make -f makefile_test We assume a gfortran compiler with the same characteristics as that employed when using MG5 aMC. The test program embedded in test.f90 can be run by executing: 63OneLoop [114] is called on-they as a library that returns the value of the C 0 function, necessary in the co”
W±Z production at the LHC: fiducial cross sections and distributions in NNLO QCD (2016, methodology): “of Collier disagree by more than a certain threshold | OpenLoops provides a rescue system based on the quadruple-precision implementation of CutTools [50], which applies scalar integrals from OneLOop [51]. For the two-loop helicity amplitudes we rely on a public C++ library [52] that implements the ”