OpenLoops 2

Abstract

We present the new version of OpenLoops, an automated generator of tree and one-loop scattering amplitudes based on the open-loop recursion. One main novelty of OpenLoops 2 is the extension of the original algorithm from NLO QCD to the full Standard Model, including electroweak (EW) corrections from gauge, Higgs and Yukawa interactions. In this context, among several new features, we discuss the systematic bookkeeping of QCD-EW interferences, a flexible implementation of the complex-mass scheme for processes with on-shell and off-shell unstable particles, a special treatment of on-shell and off-shell external photons, and efficient scale variations. The other main novelty is the implementation of the recently proposed on-the-fly reduction algorithm, which supersedes the usage of external reduction libraries for the calculation of tree-loop interferences. This new algorithm is equipped with an automated system that avoids Gram-determinant instabilities through analytic methods in combination with a new hybrid-precision approach based on a highly targeted usage of quadruple precision with minimal CPU overhead. The resulting significant speed and stability improvements are especially relevant for challenging NLO multi-leg calculations and for NNLO applications.

80 pages, 6 figures, 11 Tables; V2: matches version published in EPJC

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• Precise test of lepton flavour universality in $W$-boson decays into muons and electrons in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• $h\to gg$ and $h\to \gamma \gamma$ with Anomalous Couplings at Next-to-Leading Order in QCD
• 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
• Functional Directed Acyclical Graphs for Scattering Amplitudes in Perturbation Theory
• Open $B$-hadron production at hadron colliders in QCD at next-to-next-to-leading-order and next-to-next-to-leading-logarithmic accuracy
• Measurement of the Z boson invisible width 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
• Electroweak Radiative Corrections in Precision LHC Measurements of $W^{\pm }/Z^0$+jets
• 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
• 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
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• 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
• Higgs boson pair production and decay at NLO in QCD: the $b\bar{b}\gamma \gamma$ final state
• 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 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
• Transforming jet flavour tagging at ATLAS
• Inclusive and differential cross section measurements of $\mathrm{t}\bar{\mathrm{t}}\mathrm{b}\bar{\mathrm{b}}$ production in the lepton+jets channel at $\sqrt{s}$ = 13 TeV
• Measurement of the top quark mass with the ATLAS detector using $t\bar{t}$ events with a high transverse momentum top quark
• Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections
• Measurement of jet substructure in boosted $t\bar{t}$ events with the ATLAS detector using 140 fb${}^{-1}$ of 13 TeV $pp$ collisions
• Møller scattering at NNLO
• 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
• Simultaneous probe of the charm and bottom quark Yukawa couplings using $\mathrm{t}\bar{\mathrm{t}}$H events
• QCD corrections to Higgs boson pair production and decay to the $b\bar{b}{\tau }^{+}{\tau }^{-}$ final state
• 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
• 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
• Calibration of a soft secondary vertex tagger using proton-proton collisions at $\sqrt{s}=$13 TeV with the ATLAS detector
• Measurement of single top-quark production in the s-channel in proton$-$proton collisions at $\sqrt{\mathrm{s}}=13$ TeV with the ATLAS detector
• Electroweak corrections to Higgs boson production via W W fusion at the future LHeC
• Measurements of $W^{+}{W}^{-}$ production in decay topologies inspired by searches for electroweak supersymmetry
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• YFS Resummation for Future Lepton-Lepton Colliders in SHERPA
• QCD Predictions for Event-Shape Distributions in Hadronic Higgs Decays
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• 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
• 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
• Cross-Sections for $\text{t}\bar{\text{t}}\text{H}$ production with the Top Quark $\overline{\text{MS}}$ Mass
• 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
• Subtraction of the $t\bar{t}$ contribution in $tW\bar{b}$ production at the one-loop level
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• State-of-the-art cross sections for ttH: NNLO predictions matched with NNLL resummation and EW corrections
• 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
• Measurements of the differential cross sections of the production of Z + jets and $\gamma$ + jets and of Z boson emission collinear with a jet in pp collisions at $\sqrt{s}=$ 13 TeV
• A continuous calibration of the ATLAS flavour-tagging classifiers via optimal transportation maps
• Higgs production via vector-boson fusion at the LHC
• 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
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Two-Loop Rational Terms for Spontaneously Broken Theories
• 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
• 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
• Universal structure of radiative QED amplitudes at one loop
• Monte Carlo Event Generators
• Two-loop amplitude generation in OpenLoops
• FeAmGen.jl: A Julia Program for Feynman Amplitude Generation
• Two-loop mixed QCD-EW corrections to $q\overline{q}\to Hg$, $qg\to Hq$, and $\overline{q}g\to H\overline{q}$
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• 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
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• 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
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• 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
• 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
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Search for same-charge top-quark pair production in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
• Measurement of the Lund jet plane in hadronic decays of top quarks and W bosons with the ATLAS detector
• Measurements of $W^{+}{W}^{-}$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Predictions of the ratio and asymmetry probes of the invisible $Z$-boson decay
• Hadroproduction of four top quarks in the POWHEG BOX
• Electroweak $t\bar{t}$ hadroproduction in the presence of heavy $Z^{\prime }$ and $W^{\prime }$ bosons at NLO QCD in POWHEG
• Probing the Higgs boson CP properties in vector-boson fusion production in the $H\to {\tau }^{+}{\tau }^{-}$ channel with the ATLAS detector
• 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
• Challenges for Monte Carlo generators
• Reconstruction and identification of pairs of collimated $\tau$-leptons decaying hadronically using $\sqrt{s}=13$ TeV $pp$ collision data with the ATLAS detector
• 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
• 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
• Constraining the Higgs potential using multi-Higgs production
• Search for signatures of electroweakinos with photons, jets, and large missing transverse momentum in $\sqrt{s}=13$ TeV pp collisions with the ATLAS detector
• Interference effects in new physics searches
• NNLO QCD predictions of the asymmetry probe of the $Z\gamma$ pair-production process
• Two-loop tensor integral coefficients in OpenLoops
• Monte Carlo Event Generators for Future Lepton Colliders
• Chasing the two-Higgs-doublet model via electroweak corrections at $e^{+}{e}^{-}$ colliders
• One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}({\epsilon }^2)$
• Theoretical modeling of QCD radiation in off-shell Higgs production through gluon fusion
• Stable perturbative predictions for isolated photon production with a jet pair at large $m_{j_1{j}_2}$
• Measurements of $t\bar{t}$ in association with charm quarks at 13 TeV with the ATLAS experiment
• Measurements of differential cross-sections of $WbWb$ production in the dilepton channel in $pp$ collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector