Collier: A fortran-based complex one-loop library in extended regularizations

Denner, Ansgar; Dittmaier, S.; Hofer, Lars

doi:10.1016/j.cpc.2016.10.013

Cited by 500 publications

(404 citation statements)

References 80 publications

(114 reference statements)

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“…[44] for details). The output variable flag (of type integer) returns global information on the accuracy of the TIs evaluated in the last call of compute process rcl:…”

Section: Get Tis Accuracy Flag Rcl (Flag)mentioning

confidence: 99%

“…More details on Recola demo programs are given in Section 3.2; for more details on the demo programs of Collier we refer to Ref. [44].…”

Section: Installationmentioning

confidence: 99%

“…Following the conventions of Collier [43,44] and Ref. [47], the parameters ∆ UV , ∆ IR and ∆ IR2 that contain the poles in ǫ absorb a normalization factor of the form 1 + O(ǫ).…”

Section: Dimensional Regularizationmentioning

confidence: 99%

“…For the evaluation of the one-loop integrals, a task that demands high standards with respect to numerical stability and CPU performance, amplitude generators are either equipped with own internal implementations, or they rely on external libraries like FF [36], LoopTools [37], QCDLoop [38], OneLOop [39], Golem95C [40], PJFry [41], Package-X [42], and Collier [43,44]. In the case of Recola, the public Fortran95 library Collier is used which achieves a fast and stable calculation of tensor integrals via the strategies developed in Refs.…”

Section: Introductionmentioning

confidence: 99%

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RECOLA2: REcursive Computation of One-Loop Amplitudes 2

Denner

Lang

Uccirati

2018

Computer Physics Communications

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105

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We present the Fortran95 program Recola for the perturbative computation of next-to-leading-order transition amplitudes in the Standard Model of particle physics. The code provides numerical results in the 't HooftFeynman gauge. It uses the complex-mass scheme and allows for a consistent isolation of resonant contributions. Dimensional regularization is employed for ultraviolet and infrared singularities, with the alternative possibility of treating collinear and soft singularities in mass regularization. Recola supports various renormalization schemes for the electromagnetic and a dynamical N f -flavour scheme for the strong coupling constant. The calculation of next-to-leading-order squared amplitudes, summed over spin and colour, is supported as well as the computation of colour-and spin-correlated leadingorder squared amplitudes needed in the dipole subtraction formalism.

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“…[44] for details). The output variable flag (of type integer) returns global information on the accuracy of the TIs evaluated in the last call of compute process rcl:…”

Section: Get Tis Accuracy Flag Rcl (Flag)mentioning

confidence: 99%

“…More details on Recola demo programs are given in Section 3.2; for more details on the demo programs of Collier we refer to Ref. [44].…”

Section: Installationmentioning

confidence: 99%

“…Following the conventions of Collier [43,44] and Ref. [47], the parameters ∆ UV , ∆ IR and ∆ IR2 that contain the poles in ǫ absorb a normalization factor of the form 1 + O(ǫ).…”

Section: Dimensional Regularizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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RECOLA2: REcursive Computation of One-Loop Amplitudes 2

Denner

Lang

Uccirati

2018

Computer Physics Communications

Self Cite

105

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“…These techniques have been automated in the module MadLoop [10], which is used for the generation of the amplitudes and in turn exploits CutTools [53], Ninja [54,55] and Collier [56], together with an in-house implementation of the OpenLoops optimisation [5].…”

Section: Jhep02(2018)031mentioning

confidence: 99%

Large NLO corrections in t t ¯ W ± $$ t\overline{t}{W}^{\pm } $$ and

Frederix

Pagani

Zaro

2018

J. High Energ. Phys.

109

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Abstract:We calculate the complete-NLO predictions for ttW ± and tttt production in proton-proton collisions at 13 and 100 TeV. All the non-vanishing contributions of O(α i s α j ) with i + j = 3, 4 for ttW ± and i + j = 4, 5 for tttt are evaluated without any approximation. For ttW ± we find that, due to the presence of tW → tW scattering, at 13(100) TeV the O(α s α 3 ) contribution is about 12(70)% of the LO, i.e., it is larger than the so-called NLO EW corrections (the O(α 2 s α 2 ) terms) and has opposite sign. In the case of tttt production, large contributions from electroweak tt → tt scattering are already present at LO in the O(α 3 s α) and O(α 2 s α 2 ) terms. For the same reason we find that both NLO terms of O(α 4 s α), i.e., the NLO EW corrections, and O(α 3 s α 2 ) are large (±15% of the LO) and their relative contributions strongly depend on the values of the renormalisation and factorisation scales. However, large accidental cancellations are present (away from the threshold region) between these two contributions. Moreover, the NLO corrections strongly depend on the kinematics and are particularly large at the threshold, where even the relative contribution from O(α 2 s α 3 ) terms amounts to tens of percents.

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Measurement of Higgs Boson Production at High Transverse Momentum in the VH, H $$\boldsymbol{\rightarrow b\bar{b}}$$ Channel

Moser

2023

Springer Theses

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Collier: A fortran-based complex one-loop library in extended regularizations

Cited by 500 publications

References 80 publications

RECOLA2: REcursive Computation of One-Loop Amplitudes 2

RECOLA2: REcursive Computation of One-Loop Amplitudes 2

Large NLO corrections in t t ¯ W ± $$ t\overline{t}{W}^{\pm } $$ and

Measurement of Higgs Boson Production at High Transverse Momentum in the VH, H $$\boldsymbol{\rightarrow b\bar{b}}$$ Channel

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