Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations

Abstract

We present the library Collier for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories. The code provides numerical results for arbitrary tensor and scalar integrals for scattering processes in general quantum field theories. For tensor integrals either the coefficients in a covariant decomposition or the tensor components themselves are provided. Collier supports complex masses, which are needed in calculations involving unstable particles. Ultraviolet and infrared singularities are treated in dimensional regularization. For soft and collinear singularities mass regularization is available as an alternative.

51 pages, version to appear in Comput.Phys.Commun

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• The LFV decays of Z boson in Minimal R-symmetric Supersymmetric Standard Model
• Electroweak corrections to $e^{+}{e}^{-}\to \gamma \gamma$ as a luminosity process at FCC-ee
• Search for $t\bar{t}H/A\to t\bar{t}t\bar{t}$ production in the multilepton final state in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Differential cross section measurements for the production of top quark pairs and of additional jets using dilepton events from pp collisions at $\sqrt{s}$ = 13 TeV
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Observation of Single-Top-Quark Production in Association with a Photon Using the ATLAS Detector
• Search for excited $\tau$-leptons and leptoquarks in the final state with $\tau$-leptons and jets in pp collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Lepton Flavor Violation from diphoton effective interactions
• Search for dark matter produced in association with a Higgs boson decaying to tau leptons at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for direct production of winos and higgsinos in events with two same-charge leptons or three leptons in $pp$ collision data at $\sqrt{s}=13$ TeV with the ATLAS detector
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massless QCD
• The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field
• Measurement of electroweak $Z(\nu \bar{\nu })\gamma jj$ production and limits on anomalous quartic gauge couplings in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Higgs interference effects at the one-loop level in the 1-Higgs-Singlet extension of the Standard Model
• Search for heavy neutral leptons in decays of W bosons using leptonic and semi-leptonic displaced vertices in $\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS detector
• EW corrections and Heavy Boson Radiation at a high-energy muon collider
• Tri-boson and WH production in the ${\mathrm{W}}^{+}{\mathrm{W}}^{+}\mathrm{jj}$ channel: predictions at full NLO accuracy and beyond
• Measurement of the total and differential cross-sections of $t\bar{t}W$ production in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Logarithmic EW corrections at one-loop
• Exploring slicing variables for jet processes
• Measurement of the polarisation of $W$ bosons produced in top-quark decays using dilepton events at $\sqrt{s}=13$ TeV with the ATLAS experiment
• Color-octet scalars in Dirac gaugino models with broken $R$ symmetry
• Tagging Jets in Invisible Higgs Searches
• Search for leptoquarks decaying into the b$\tau$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Two-body lepton-flavour-violating decays in a 2HDM with soft family-lepton-number breaking
• Measurement of the $t\bar{t}$ cross section and its ratio to the $Z$ production cross section using $pp$ collisions at $\sqrt{s}=13.6$ TeV with the ATLAS detector
• Pion pair production in $e^{+}{e}^{-}$ annihilation at next-to-leading order matched to Parton Shower
• Search for new phenomena with top-quark pairs and large missing transverse momentum using 140 ${\mathrm{fb}}^{-1}$ of $pp$ collision data at $\sqrt{s}=13$ TeV with the ATLAS detector
• Gluon fusion and $b\bar{b}$ corrections to $H{W}^{+}{W}^{-}/HZZ$ production in the POWHEG-BOX
• Measurement of $t$-channel production of single top quarks and antiquarks in $pp$ collisions at 13 TeV using the full ATLAS Run 2 data sample
• Search for pair production of higgsinos in events with two Higgs bosons and missing transverse momentum in $\sqrt{s}=13$ TeV $pp$ collisions at the ATLAS experiment
• Measurements of observables sensitive to colour reconnection in $t\bar{t}$ events with the ATLAS detector at $\sqrt{s}=13$ TeV
• Cross-section measurements for the production of a $Z$ boson in association with high-transverse-momentum jets in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for neutral long-lived particles that decay into displaced jets in the ATLAS calorimeter in association with leptons or jets using $pp$ collisions at $\sqrt{s}=13$ TeV
• Search for emerging jets in $pp$ collisions at $\sqrt{s}=13.6$ TeV with the ATLAS experiment
• Precise measurements of $W$- and $Z$-boson transverse momentum spectra with the ATLAS detector using $pp$ collisions at $\sqrt{s}=5.02$ TeV and $13$ TeV
• NLO electroweak and QCD corrections to the production of a photon with three charged lepton plus missing energy at the LHC
• NLO QCD corrections to off-shell top-antitop production with semi-leptonic decays at lepton colliders
• Search for vector-boson resonances decaying into a top quark and a bottom quark using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for light long-lived particles in $pp$ collisions at $\sqrt{s}=13$ TeV using displaced vertices in the ATLAS inner detector
• Search for pair production of squarks or gluinos decaying via sleptons or weak bosons in final states with two same-sign or three leptons with the ATLAS detector
• Search for vector-like leptons coupling to first- and second-generation Standard Model leptons in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Polarized-boson pairs at NLO in the SMEFT
• Evidence for the charge asymmetry in $pp\to t\bar{t}$ production at $\sqrt{s}=13$ TeV with the ATLAS detector
• Measurement of single top-quark production in association with a $W$ boson in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Measurements of $Z\gamma +$jets differential cross sections in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Differential cross-sections for events with missing transverse momentum and jets measured with the ATLAS detector in 13 TeV proton-proton collisions
• Search for high-mass resonances in final states with a $\tau$-lepton and missing transverse momentum with the ATLAS detector
• Search for heavy right-handed Majorana neutrinos in the decay of top quarks produced in proton$-$proton collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• NLO QCD predictions for $\mathbf{t}\bar{\mathbf{t}}\mathbf{\gamma }$ with realistic photon isolation
• Measurement of the polarisation of single top quarks and antiquarks produced in the $t$-channel at $\sqrt{s}=13$ TeV and bounds on the $tWb$ dipole operator from the ATLAS experiment
• Differential cross-section measurements of the production of four charged leptons in association with two jets using the ATLAS detector
• Differential cross-section measurements of Higgs boson production in the $H\to {\tau }^{+}{\tau }^{-}$ decay channel in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• $\Delta$L=2 hyperon decays induced by Majorana neutrinos and doubly-charged scalars
• Search for direct production of electroweakinos in final states with one lepton, jets and missing transverse momentum in pp collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• One-loop contributions to decays $e_b\to e_a\gamma$ and $(g-2{)}_{e_a}$ anomalies, and Ward identity
• Full NLO QCD predictions for Higgs-pair production in the 2-Higgs-Doublet Model
• Integrated and differential fiducial cross-section measurements for the vector boson fusion production of the Higgs boson in the $H\to W{W}^{\ast }\to e\nu \mu \nu$ decay channel at 13 $\text{TeV}$ with the ATLAS detector
• Automated next-to-leading order QCD and electroweak predictions of photon-photon processes in ultraperipheral collisions
• Search for the decay of the Higgs boson to a $Z$ boson and a light pseudoscalar particle decaying to two photons
• An interface between the POWHEG BOX and MadGraph5_aMC@NLO
• Measurement of vector boson production cross sections and their ratios using $pp$ collisions at $\sqrt{s}=13.6$ TeV with the ATLAS detector
• Search for new phenomena in final states with photons, jets and missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for low-mass resonances decaying into two jets and produced in association with a photon or a jet at $\sqrt{s}=13$ TeV with the ATLAS detector
• Higgs boson pair production and decay at NLO in QCD: the $b\bar{b}\gamma \gamma$ final state
• NLO QCD and EW corrections to off-shell $\mathrm{tZj}$ production at the LHC
• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
• Oblique corrections from triplet quarks
• Measurement of the production of a $W$ boson in association with a charmed hadron in $pp$ collisions at $\sqrt{s}=13\mathrm{TeV}$ with the ATLAS detector
• Precise predictions for electroweakino-pair production in association with a jet at the LHC
• Search for high-mass $W\gamma$ and $Z\gamma$ resonances using hadronic W/Z boson decays from 139 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
• Functional Directed Acyclical Graphs for Scattering Amplitudes in Perturbation Theory
• Measurement of the Z boson invisible width at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for charged-lepton-flavour violating $\mu \tau qt$ interactions in top-quark production and decay in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector at the LHC
• Observation of electroweak production of $W^{+}{W}^{-}$ in association with jets in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS Detector
• Measurements of the production cross-section for a $Z$ boson in association with $b$- or $c$-jets in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for decays of the Higgs boson into a pair of pseudoscalar particles decaying into $b\bar{b}{\tau }^{+}{\tau }^{-}$ using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Measurement of top-quark pair production in association with charm quarks in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Combinatorial aspects in the one-loop renormalization of higher derivative theories
• Electroweak corrections and shower effects to Higgs production in association with two jets at the LHC
• Dark matter pair production in the MSSM and in simplified dark matter models at the LHC
• Measurements of differential cross sections of Higgs boson production through gluon fusion in the $H\to W{W}^{\ast }\to e\nu \mu \nu$ final state at $\sqrt{s}=13$ TeV with the ATLAS detector
• Impact of lepton $p_T$ threshold on the charge asymmetry predictions for the inclusive $W$ boson production in $pp$ collisions at 13 TeV
• Search for dark mesons decaying to top and bottom quarks in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for dark matter produced in association with a dark Higgs boson in the $b\bar{b}$ final state using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Top-quark mass effects in H+jet and H+2 jets production
• NNLO QCD predictions of the electron charge asymmetry for the inclusive $pp\to W+X$ production in the forward region at 13 TeV and 14 TeV
• Transforming jet flavour tagging at ATLAS
• Search for leptonic charge asymmetry in $t\bar{t}W$ production in final states with three leptons at $\sqrt{s}=13$ TeV
• NLO corrections to triple vector-boson production in final states with three charged leptons and two jets
• Measurement of the top quark mass with the ATLAS detector using $t\bar{t}$ events with a high transverse momentum top quark
• Measurement of jet substructure in boosted $t\bar{t}$ events with the ATLAS detector using 140 fb${}^{-1}$ of 13 TeV $pp$ collisions
• Evidence for the dimuon decay of the Higgs boson in pp collisions with the ATLAS detector
• QCD corrections to Higgs boson pair production and decay to the $b\bar{b}{\tau }^{+}{\tau }^{-}$ final state
• All-orders behaviour and renormalons in top-mass observables
• Search for pair-produced vector-like quarks coupling to light quarks in the lepton plus jets final state using 13 TeV $pp$ collisions with the ATLAS detector
• Search for $t\bar{t}H/A\to t\bar{t}t\bar{t}$ production in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for a resonance decaying into a scalar particle and a Higgs boson in the final state with two bottom quarks and two photons in proton-proton collisions at a center of mass energy of 13 TeV with the ATLAS detector
• Scalar one-loop Feynman integrals with complex internal masses revisited
• Off-shell chromomagnetic dipole moments in the SM at and beyond the $Z$ gauge boson mass scale
• Search for quantum black hole production in lepton+jet final states using proton-proton collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Constraining scalar resonances with top-quark pair production at the LHC
• Search for pair-produced higgsinos decaying via Higgs or $Z$ bosons to final states containing a pair of photons and a pair of $b$-jets with the ATLAS detector
• Calibration of a soft secondary vertex tagger using proton-proton collisions at $\sqrt{s}=$13 TeV with the ATLAS detector
• One loop correction to $Z\to \nu \nu$ in the Minimal R-symmetric Supersymmetric Standard Model
• Measurement of differential cross-sections in $t\bar{t}$ and $t\bar{t}+$jets production in the lepton+jets final state in $pp$ collisions at $\sqrt{s}=13$ TeV using 140 fb${}^{-1}$ of ATLAS data
• Observation of $W^{+}{W}^{-}\gamma$ production in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector and constraints on anomalous quartic gauge-boson couplings
• $l_{\alpha }\to 3l_{\beta }$ in Minimal R-symmetric Supersymmetric Standard Model
• Search for light neutral particles decaying promptly into collimated pairs of electrons or muons in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Measurement of cross-sections for production of a $Z$ boson in association with a flavor-inclusive or doubly $b$-tagged large-radius jet in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS experiment
• Higgs production via vector-boson fusion at the LHC
• Search for cascade decays of charged sleptons and sneutrinos in final states with three leptons and missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Measurements of Higgs boson production via gluon-gluon fusion and vector-boson fusion using $H\to W{W}^{\ast }\to \ell \nu \ell \nu$ decays in $pp$ collisions with the ATLAS detector and their effective field theory interpretations
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• Measurements of $W^{+}{W}^{-}$ production in decay topologies inspired by searches for electroweak supersymmetry
• NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC
• A continuous calibration of the ATLAS flavour-tagging classifiers via optimal transportation maps
• Measurement of single top-quark production in the s-channel in proton$-$proton collisions at $\sqrt{\mathrm{s}}=13$ TeV with the ATLAS detector
• Fitting the $Zb\bar{b}$ vertex in the two-Higgs-doublet model and in the three-Higgs-doublet model
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Predictions of the ratio and asymmetry probes of the invisible $Z$-boson decay
• Two-loop amplitude generation in OpenLoops
• Two-photon exchange in leptophilic dark matter scenarios
• Rare decay $t\to c\gamma \gamma$ via scalar leptoquark doublets
• Accurate prediction of the ${\varphi }_{\eta }^{\ast }$ distribution for the forward Z boson production in pp collisions through NNLO+N${}^3$LL
• Electroweak $t\bar{t}$ hadroproduction in the presence of heavy $Z^{\prime }$ and $W^{\prime }$ bosons at NLO QCD in POWHEG
• NLO QCD+EW for V+jets
• Study of anomalous gauge boson self-couplings and the role of spin-$1$ polarizations
• Measurement of the Lund jet plane in hadronic decays of top quarks and W bosons with the ATLAS detector
• Electroweak $W^{+}{W}^{+}$ production in association with three jets at NLO QCD matched with parton shower
• Search for same-charge top-quark pair production in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Test of lepton flavour universality in $W$-boson decays into electrons and $\tau$-leptons using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Measurement of $W^{\pm }$-boson differential cross-sections in proton-proton collisions with low pile-up data at $\sqrt{s}=5.02$ TeV and $13$ TeV with the ATLAS detector
• Measurements of the production cross-sections of a Higgs boson in association with a vector boson and decaying into $W{W}^{\ast }$ with the ATLAS detector at $\sqrt{s}=13$ TeV
• A measurement of the high-mass $\tau \bar{\tau }$ production cross-section at $\sqrt{s}=13$ TeV with the ATLAS detector and constraints on new particles and couplings
• Constraining off-shell Higgs boson production and the Higgs boson total width using $WW\to \ell \nu \ell \nu$ final states with the ATLAS detector
• Measurements of $W^{+}{W}^{-}$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Electroweak corrections in the Two-Higgs-Doublet Model and a Singlet Extension of the Standard Model
• Probing the Higgs boson CP properties in vector-boson fusion production in the $H\to {\tau }^{+}{\tau }^{-}$ channel with the ATLAS detector
• Measurements and interpretations of $W^{\pm }Z$ production cross-sections in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
• Searching for top-philic heavy resonances in boosted four-top final states
• Parity violation in Møller scattering within low-energy effective field theory
• Search for the production of a Higgs boson in association with a single top quark in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for Beyond the Standard Model physics with anomaly detection in multilepton final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for heavy neutral leptons in decays of W bosons produced in 13 TeV pp collisions using prompt signatures in the ATLAS detector
• Measurement of the top-quark Yukawa coupling from $t\overline{t}$ production in the lepton+jets final state using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Predictions for the isolated diphoton production through NNLO in QCD and comparison to the 8 TeV ATLAS data
• Monte Carlo Event Generators
• Constraining dimension-6 SMEFT with higher-order predictions for $pp\to tW$
• Search for long-lived charginos and $\tau$-sleptons using final states with a disappearing track in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• NLO electroweak corrections to vector-boson scattering at the LHC
• Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations
• Complete NLO corrections to off-shell $\mathbf{t}\bar{\mathbf{t}}$ production in the $\mathbf{\ell }+\mathbf{j}$ decay channel
• Search for heavy resonances in final states with four leptons and missing transverse momentum or jets in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Gluon-gluon fusion contribution to the productions of three gauge bosons at the LHC
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD
• Measurements of differential cross-sections of $WbWb$ production in the dilepton channel in $pp$ collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector
• Scalar one-loop four-point Feynman integrals with complex internal masses
• NNLO QCD predictions of the asymmetry probe of the $Z\gamma$ pair-production process
• Anomalous triple-gauge-boson interactions in diboson production
• $t\bar{t}jj$ -- NLO QCD corrections to top quark pair production and decays at the LHC
• Effects of anomalous triple-gauge-boson interactions in diboson production with RECOLA2
• Measurement of high-mass $t\bar{t}{\ell }^{+}{\ell }^{-}$ production and lepton flavour universality-inspired effective field theory interpretations at $\sqrt{s}=13$ TeV with the ATLAS detector
• Complete NLO corrections to $t\bar{t}\gamma$ and $t\bar{t}\gamma \gamma$
• Cross-section measurements for the production of a $W$-boson in association with high-transverse-momentum jets in $pp$ collisions at $\sqrt{s}$= 13 TeV with the ATLAS detector
• Measurements of $t\bar{t}$ in association with charm quarks at 13 TeV with the ATLAS experiment
• Reconstruction and identification of pairs of collimated $\tau$-leptons decaying hadronically using $\sqrt{s}=13$ TeV $pp$ collision data with the ATLAS detector
• Exploring hadronic de-excitation via Lepton Flavor Violation
• New Results For the Five Point Function
• Search for a resonance decaying into a scalar particle and a Higgs boson in final states with leptons and two photons in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Top-mass observables: all-orders behaviour, renormalons and NLO + Parton Shower effects
• Two-loop tensor integral coefficients in OpenLoops
• Electroweak corrections to vector-boson scattering
• Recent Developments in Higher-Order Calculations: Hard Functions at NLO with GoSam
• Recola2: a one-loop matrix-element generator for BSM theories and SM effective field theory
• A new method for one-loop amplitude generation and reduction in OpenLoops
• Inclusive and differential measurements of the $\mathrm{t}\bar{\mathrm{t}}\gamma$ cross section and the $\mathrm{t}\bar{\mathrm{t}}\gamma$ / $\mathrm{t}\bar{\mathrm{t}}$ cross section ratio in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Search for signatures of electroweakinos with photons, jets, and large missing transverse momentum in $\sqrt{s}=13$ TeV pp collisions with the ATLAS detector
• Study of VBF/VBS in the LHC at 13 TeV, the EFT Approach