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OpenLoops 2
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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.
Forward citations
Cited by 45 Pith papers
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Towards NNLO QCD predictions for off-shell top-quark pair production and decays
The first NNLO QCD prediction for off-shell W+W-bbbar production with massive bottom quarks at the LHC, using a double-pole approximation for the two-loop virtual and an on-shell matching for non-factorisable corrections.
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Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour
The two-loop finite remainders for gg to ttbar g at leading colour are evaluated numerically at one benchmark point, with elliptic functions confined to the finite part.
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Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
First analytic full-color two-loop five-particle amplitudes for associated Higgs-plus-bottom-quark-pair production at the LHC, with public C++ implementation.
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Precise predictions for $t \bar t H$ production at the LHC: inclusive cross section and differential distributions
First fully differential NNLO QCD predictions for ttH production at the LHC, with the missing two-loop virtual part estimated by two complementary approximations and merged with NLO electroweak corrections.
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Two-loop QCD amplitudes for $t\bar{t}W$ production at the LHC in the leading-colour approximation
First two-loop QCD hard functions for ttW production with exact top and W masses in leading colour, evaluated on a 224,640-point grid and cross-checked by an independent calculation.
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Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.
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A search for electroweak $t\bar{t}Wj$ production in multileptonic final states at $\sqrt{s} = 13$ TeV with the ATLAS detector and bounds on effective field theory operators
First search for electroweak ttWj production at 13 TeV sets observed (expected) 95% CL upper limits of 251 fb (230 fb) versus the SM prediction of 47.7 fb and constrains the O_Ht and O_HQ^(1) EFT operators.
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An analytic result for the $0 \to ggHHH$ amplitude
The authors present the complete leading-order one-loop amplitude for gg to HHH in closed analytic form, with full top and bottom quark mass dependence, validated against two independent numerical programs.
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Precise Standard-Model predictions for polarised Z-boson pair production and decay at the LHC
The authors deliver the first NNLO QCD plus NLO EW combination of predictions for polarised ZZ pairs at the LHC and validate them across five Monte Carlo codes and against ATLAS simulations.
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Towards testing $(g-2)_\tau$ in $e^+e^-\to\tau^+\tau^-$: radiative corrections and projections for Belle II
A complete one-loop QED calculation for polarized e+e- to tau+tau- is implemented in the McMule Monte-Carlo code, showing that Belle II with a polarized beam could test the tau anomalous magnetic moment at the 10^-5 level.
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Search for emerging jets in $pp$ collisions at $\sqrt{s} = 13.6$ TeV with the ATLAS experiment
No evidence for emerging jets was found in 51.8 fb-1 of 13.6 TeV ATLAS data; new exclusion limits are set on s-channel Z' and t-channel scalar mediator models producing pairs of emerging jets.
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Precise Predictions for Event Shapes in Diphoton Production at the LHC
First NNLO (O(alpha_s^3)) QCD predictions for diphoton event shapes at the LHC, with full-color two-loop amplitudes and NLO loop-induced corrections.
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Higgs boson production in association with massive bottom quarks at NNLO+PS
First NNLO+PS event generator for b-bbar-H production with massive bottom quarks in the four-flavour scheme, showing NNLO corrections resolve the 4FS/5FS tension.
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Cross-section measurements of boosted Higgs boson production in final states with pairs of hadronically decaying $\tau$-leptons with the ATLAS experiment
ATLAS reports the first boosted H→ττ cross-section measurements for Higgs pT > 300 GeV, with an observed (expected) significance of 3.8 (3.3) standard deviations, consistent with the Standard Model.
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Feynman Integrals Meet Second-Order Partial Differential Equations
Feynman integrals can be solved globally over phase space by rewriting them as second-order PDE equilibrium problems and discretizing with finite elements.
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Antenna subtraction at NNLO for heavy quark pair production at hadron colliders: the non-diagonal channels
NNLO antenna subtraction is completed for the qq, qq' and qg channels of heavy-quark pair production in full colour, with new massive soft factors and integrated antennae validated against Top++.
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Simultaneous efficiency measurements of $b$- and $c$-jets in $t\bar{t}$ events from $\sqrt{s}=13.6$ TeV $pp$ collision data collected with the ATLAS detector
Simultaneous measurements of b-jet tagging and c-jet mistagging efficiency scale factors for the ATLAS GN2 tagger achieve precisions below 2% and 5% respectively using 56 fb⁻¹ of 13.6 TeV ttbar data.
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A resonance-aware MC@NLO QCD+EW-matched calculation of lepton-pair production
First automated MC@NLO matching of NLO QCD+EW to an interleaved QCD+QED parton shower with resonance-aware dipole subtraction, validated for Drell-Yan lepton-pair production.
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An Optimal Transportation Approach for Improved Confidence Intervals
Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.
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Measurement of the $|V_{cb}|$ element of the CKM matrix in $t\bar{t}$ decays with the ATLAS detector
ATLAS measures |Vcb|=(50 +11/−14)×10^−3 from on-shell W→cb decays in ttbar events, the first such measurement at the weak scale.
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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
No excess found in 137 fb^-1 of 13 TeV pp data; new 95% CL exclusions reach chargino masses up to 880 GeV and tau-sleptons up to 320 GeV at ~1 ns lifetimes.
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One-Loop Calculations in Effective Field Theories with GoSam-3.0
GoSam-3.0 extends automated one-loop amplitude generation to SMEFT and HEFT with flexible truncation orders, loop-suppression counting, and improved speed and stability.
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Recoil-Safe Subtraction, Matching and Merging in e+e- to hadrons
The Alaric shower is matched to NLO matrix elements and merged to five jets in e+e- to hadrons, with new analytic subtraction terms validated against Catani-Seymour subtraction.
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NNLO+PS Double Higgs boson production with top-quark mass corrections in GENEVA
First NNLO+parton-shower simulation of double Higgs production in GENEVA that includes approximate finite top-quark mass corrections (FTapprox), validated against MATRIX.
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Theoretical modeling of QCD radiation in off-shell Higgs production through gluon fusion
A controlled three-generator comparison shows that NLO+PS and LO jet merging differ by up to a factor of two in off-shell gg to H to ZZ to 4l predictions, with MadGraph underproducing sub-leading jets.
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Measurements of differential cross-sections of $WbWb$ production in the dilepton channel in $pp$ collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector
Measurements of WbWb differential cross sections in the dilepton channel at 13 TeV with 140 fb^-1 of ATLAS data provide new constraints on ttbar and tW interference modeling.
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MATRIX HAWAII: PineAPPL interpolation grids with MATRIX
Matrix Hawaii provides a public interface between PineAPPL and MATRIX that generates interpolation grids at NNLO QCD + NLO EW accuracy for a range of LHC processes, with sub-permille interpolation errors.
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Invariant-mass threshold resummation for the production of four top quarks at the LHC
First invariant-mass threshold resummation for ttbar ttbar production, giving NLO+NLL' predictions for the invariant-mass distribution and total cross section.
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Analytic reconstruction with massive particles: one-loop amplitudes for $0 \to \bar{q}qt\bar{t}H$
First analytic reconstruction of the one-loop amplitude for 0 to anti-q, q, top, anti-top, Higgs using massive spinor-helicity, with expressions about twice as fast as the automatic code OpenLoops.
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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
ATLAS reports new high-precision W-boson differential cross sections at 5.02 and 13 TeV, consistent with Standard Model predictions and useful for profiling proton parton distribution functions.
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Double Higgs Production in Vector Boson Fusion at NLO QCD in HEFT
Full NLO QCD predictions for pp -> hhjj production in VBF with HEFT couplings cλ, cV, c2V, including non-factorising and Higgs-strahlung diagrams, show that some allowed coupling combinations reshape key observables.
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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
ATLAS measures R_tau/e = 0.975 +/- 0.012 (stat) +/- 0.020 (syst) for W boson decays to tau versus electron, consistent with lepton flavour universality.
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Measurement of off-shell Higgs boson production in the $H^*\rightarrow ZZ\rightarrow 4\ell$ decay channel using a neural simulation-based inference technique in 13 TeV $pp$ collisions with the ATLAS detector
Using neural simulation-based inference, ATLAS improves evidence for off-shell Higgs production in ZZ -> 4l to 2.5 sigma observed (1.3 sigma expected) and measures Gamma_H = 4.3 +2.7 -1.9 MeV.
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Reconstruction and identification of pairs of collimated $\tau$-leptons decaying hadronically using $\sqrt{s}=13$ TeV $pp$ collision data with the ATLAS detector
A low-pT collimated hadronic di-tau tagger is built from a large-radius jet with two subjets and a BDT, with data-to-simulation scale factors of 1.00 and 1.01 measured in Z-gamma events.
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Study of $t\bar{t}H$ and $tH$ production in the $H\to\tau\tau$ channel in $pp$ collisions at $\sqrt{s}=13$ TeV and 13.6 TeV with the ATLAS detector
Simultaneous measurement of ttH (mu=1.51) and tH (mu=-0.4) in fully hadronic H→tau tau final states at 13/13.6 TeV, consistent with the Standard Model.
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Search for decays of the Higgs boson into pair-produced pseudoscalar particles decaying into $\tau^+\tau^-\tau^+\tau^-$ using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
No significant excess is observed; 95% CL upper limits on B(H→aa→4τ) range from 0.06 to 0.23 for ma between 15 and 60 GeV.
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Measurement of the Higgs boson production in association with top quarks in multilepton final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
ATLAS measures the ttH cross-section at 0.63+0.20−0.19 of the Standard Model prediction (3.3σ observed, 5.3σ expected) and excludes top-Higgs CP-mixing angles |α|>62° at 68% confidence.
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Mixed QCD-EW corrections to the neutral-current Drell-Yan process
Exact mixed QCD-EW corrections at order alpha_s alpha to neutral-current Drell-Yan production are computed and applied to distributions, the forward-backward asymmetry, and dressed leptons.
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Status of two-loop automation in OpenLoops
OpenLoops has implemented the building blocks for automated two-loop amplitude calculations in QED and QCD, passing UV pole cancellation checks for simple vertex functions but with broader validation still ongoing.
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Higgsstrahlung at NNLL$'+$NNLO Matched to Parton Showers in GENEVA
GENEVA now generates Higgsstrahlung events at NNLO accuracy matched with NNLL' beam-thrust resummation and parton showers, validated against Matrix for the 13 TeV LHC.
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Improved analysis of non-resonant Higgs boson pair production in the $b\bar{b}\tau^+\tau^-$ final state with $196$ fb$^{-1}$ of data collected at $\sqrt{s}$ = 13 TeV and 13.6 TeV with the ATLAS detector
ATLAS finds μ_HH = 2.6^{+1.4}_{-1.0} in bbττ with Run 2+3 data, 2.6σ over background-only, and first 3.5σ evidence for ZH in this final state.
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Search for heavy neutral leptons in decays of W bosons produced in 13 TeV pp collisions using prompt signatures in the ATLAS detector
The ATLAS search finds no evidence of heavy neutral leptons in W boson decays and sets the strongest limits to date on their mixing with electron and muon neutrinos in the 15-30 GeV mass range.
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Interference effects in new physics searches
Interference between new-physics resonances and Standard Model backgrounds must be included in collider searches; the review shows it can distort, enhance, or even cancel expected signals.
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Energy Correlators: A Journey From Theory to Experiment
A review of energy correlators and their role in QCD, collider experiments, and formal quantum field theory.
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Challenges for Monte Carlo generators
A review of Monte Carlo generator capabilities and challenges for future lepton colliders, covering beams, QED/EW corrections, showers, BSM simulation, and performance.
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