Collider Physics at the Precision Frontier

Abstract

The precision frontier in collider physics is being pushed at impressive speed, from both the experimental and the theoretical side. The aim of this review is to give an overview of recent developments in precision calculations within the Standard Model of particle physics, in particular in the Higgs sector. While the first part focuses on phenomenological results, the second part reviews some of the techniques which allowed the rapid progress in the field of precision calculations. The focus is on analytic and semi-numerical techniques for multi-loop amplitudes, however fully numerical methods as well as subtraction schemes for infrared divergent real radiation beyond NLO are also briefly described.

216 pages, 14 figures; v3: version published in Physics Reports

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• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Vector-Boson Fusion Higgs Pair Production at N${}^3$LO
• Geometric approach to asymptotic expansion of Feynman integrals
• Soft gluon resummation for gluon-induced Higgs Strahlung
• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• Higgs production in association with bottom quarks
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Precise predictions for dijet production at the LHC
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• From loops to trees by-passing Feynman's theorem
• Electroweak Couplings of the Higgs Boson at a Multi-TeV Muon Collider
• Higgs production in association with a top-antitop pair in the Standard Model Effective Field Theory at NLO in QCD
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• $gg\to HH$: Combined Uncertainties
• Pentagon Functions for Scattering of Five Massless Particles
• QCD corrections to tri-boson production
• Five-loop renormalisation of QCD in covariant gauges
• Bootstrapping the QCD soft anomalous dimension
• Probing the Higgs self coupling via single Higgs production at the LHC
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• Inclusive Heavy Flavor Hadroproduction in NLO QCD: the Exact Analytic Result
• Resummed Higgs cross section at N${}^3$LL
• Triphoton production at hadron colliders in NNLO QCD
• Decomposition of Feynman Integrals by Multivariate Intersection Numbers
• NNLO QCD corrections to three-photon production at the LHC
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Four-dimensional unsubtraction with massive particles
• Elliptic polylogarithms and Feynman parameter integrals
• Differential Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD
• A Tree-Loop Duality Relation at Two Loops and Beyond
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Matter dependence of the four-loop cusp anomalous dimension
• What's in the Loop? The Anatomy of Double Higgs Production
• Higgs Pseudo-Observables, Second Riemann Sheet and All That
• Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects
• Towards the five-loop Beta function for a general gauge group
• Numerical NLO QCD calculations
• The two-loop electroweak bosonic corrections to ${\sin }^2{\theta }_{\mathrm{eff}}^{\mathrm{b}}$
• Associated production of a top quark pair with a heavy electroweak gauge boson at NLO+NNLL accuracy
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• HPro: A NLO Monte-Carlo for Higgs production via gluon fusion with finite heavy quark masses
• NNLO QCD+NLO EW with MATRIX+OpenLoops: precise predictions for vector-boson pair production
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Bottom-quark production at hadron colliders: fully differential predictions in NNLO QCD
• Loop induced interference effects in Higgs Boson plus two jet production at the LHC
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections
• Analytic integration of real-virtual counterterms in NNLO jet cross sections I
• Effective Field Theory for Higgs Plus Jet Production
• Boosted Higgs Shapes
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• High-Energy Limit of QCD beyond Sudakov Approximation
• A Double Take on New Physics in Double Higgs Production
• The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• Higgsstrahlung at NNLL${}^{\prime }+$NNLO Matched to Parton Showers in GENEVA
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• Di-Higgs phenomenology: The forgotten channel
• Four-loop quark form factor with quartic fundamental colour factor
• The $n_f^2$ contributions to fermionic four-loop form factors
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• Higgs production in association with off-shell top-antitop pairs at NLO EW and QCD at the LHC
• A four-dimensional approach to quantum field theories
• On the singular behaviour of scattering amplitudes in quantum field theory
• Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• NLO QCD+EW predictions for HV and HV+jet production including parton-shower effects
• Calculating multiloop integrals using dimensional recurrence relation and D-analyticity
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
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• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
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• Scrutinizing the Higgs quartic coupling at a future 100 TeV proton-proton collider with taus and b-jets
• Universal four-dimensional representation of $H\to \gamma \gamma$ at two loops through the Loop-Tree Duality
• Constructing Canonical Feynman Integrals with Intersection Theory
• Updated Higgs cross section at approximate N${}^3$LO
• Complete Two-Loop Corrections to H -> gamma gamma
• Effective Multi-Higgs Couplings to Gluons
• Analytic integration of real-virtual counterterms in NNLO jet cross sections II
• The Higgs boson at high $p_T$
• NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC
• Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions
• Single-inclusive jet production in electron-nucleon collisions through next-to-next-to-leading order in perturbative QCD
• Top-quark pair hadroproduction at NNLO: differential predictions with the MSbar mass
• Exact Top Yukawa corrections to Higgs boson decay into bottom quarks
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• On top quark mass effects to $gg\to ZH$ at NLO
• $ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence
• Full mass dependence in Higgs boson production in association with jets at the LHC and FCC
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• Quark and gluon form factors in four loop QCD: the $N_f^2$ and $N_{q\gamma }{N}_f$ contributions
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• NNLO QCD corrections to event orientation in e+e- annihilation
• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
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• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
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• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling
• Higgs Boson Plus Dijets: Higher Order Corrections
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• Jet-Parton Assignment in ttH Events using Deep Learning
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• Collinear expansion for color singlet cross sections
• Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter
• Resummation of soft and Coulomb corrections for $t\bar{t}h$ production at the LHC
• Two-loop corrections to the triple Higgs boson production cross section
• Two-Loop Rational Terms in Yang-Mills Theories
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• The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$
• Planar master integrals for four-loop form factors
• On the vanishing of certain cuts or residues of loop integrals with higher powers of the propagators
• Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums
• Momentum mappings for subtractions at higher orders in QCD
• The NLO electroweak effects on the Higgs production in association with bottom quark pair at the LHC
• One-loop weak corrections to Higgs production
• Mellin-Barnes meets Method of Brackets: A novel approach to Mellin-Barnes representations of Feynman integrals
• Matching the heavy-quark fields in QCD and HQET at four loops
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics

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• The PDF4LHC21 combination of global PDF fits for the LHC Run III
• Evidence for intrinsic charm quarks in the proton
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• Three-loop gluon scattering in QCD and the gluon Regge trajectory
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• Tropical Feynman integration in the Minkowski regime
• PanScales parton showers for hadron collisions: formulation and fixed-order studies
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• On linear power corrections in certain collider observables
• Cuts for two-body decays at colliders
• Geometrical approach to causality in multi-loop amplitudes
• The on-shell expansion: from Landau equations to the Newton polytope
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• Quantum algorithm for Feynman loop integrals
• $ZZ$ production at nNNLO+PS with MiNNLO${}_{\text{PS}}$
• ZH production in gluon fusion at NLO in QCD
• Planar three-loop master integrals for $2\to 2$ processes with one external massive particle
• On the NLO QCD Corrections to Gluon-Initiated ZH Production
• Precision studies for Drell-Yan processes at NNLO
• The Higgs boson -- its implications and prospects for future discoveries
• The $N_f{C}_F^3$ contribution to the non-singlet splitting function at four-loop order
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• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• A POWHEG generator for deep inelastic scattering
• Two-loop helicity amplitudes for $H+$jet production to higher orders in the dimensional regulator
• A first look at the function space for planar two-loop six-particle Feynman integrals
• The Higgs boson Turns Ten
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• Soft gluon-quark-antiquark emission in QCD hard scattering
• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
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• Functional reduction of one-loop Feynman integrals with arbitrary masses
• Precision QCD Physics at the LHC
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• Four Lectures on Euler Integrals
• Transforming the Bootstrap: Using Transformers to Compute Scattering Amplitudes in Planar N = 4 Super Yang-Mills Theory
• A scattering amplitudes approach to hard thermal loops
• Computational challenges for multi-loop collider phenomenology
• Non-local slicing approaches for NNLO QCD in MCFM
• Rewording Theoretical Predictions at Colliders with Vacuum Amplitudes
• Anti-$k_T$ jet function at next-to-next-to-leading order
• Local infrared safety in time-ordered perturbation theory
• A step towards a consistent treatment of chiral theories at higher loop order: the abelian case
• Renormalization of twist-two operators in covariant gauge to three loops in QCD
• Zero-jettiness soft function to third order in perturbative QCD
• Threshold enhanced cross sections for colorless productions
• Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 2. extended Higgs sectors
• Direct numerical evaluation of multi-loop integrals without contour deformation
• The Linear Template Fit
• Flow-oriented perturbation theory
• Exploring slicing variables for jet processes
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• Antenna subtraction for jet production observables in full colour at NNLO
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• GKZ hypergeometric systems of the three-loop vacuum Feynman integrals
• Energy Efficiency trends in HPC: what high-energy and astrophysicists need to know
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• Advances towards the systematization of calculations with Implicit Regularization
• On the finite basis topologies for multi-loop high-multiplicity Feynman integrals
• Composite 2-Higgs Doublet Model: Strong Effects on Higgs Pair Production
• Quantum integration of decay rates at second order in perturbation theory
• Two-Loop Four-Fermion Scattering Amplitude in QED
• Catani's generalization of collinear factorization breaking
• Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Heavy Higgs boson Searches at the LHC in the light of a Left-Right Symmetric Model
• The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• Two-loop non-planar hexa-box integrals with one massive leg
• The Forward Physics Facility at the High-Luminosity LHC
• Two-loop tensor integral coefficients in OpenLoops
• GKZ hypergeometric systems of the four-loop vacuum Feynman integrals
• Regularising experimental correlations in LHC data: theory and application to a global analysis of parton distributions
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