The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics

Abstract

We explore how various topics in modern scattering amplitudes research find application in the description of collider physics processes. After a brief review of experimentally measured quantities and how they are related to amplitudes, we summarise recent developments in perturbative QFT, and how they have impacted our ability to do precision physics with colliders. Next, we explain how the study of (next-to-)soft radiation is directly relevant to increasing theoretical precision for key processes at the LHC and related experiments. Finally, we describe the various techniques that are used to turn theoretical calculations into something more closely approaching the output of a particle accelerator.

arXiv comment32 pages, see also the overview article arXiv:2203.13011. Updated to match published version

References in corpus (164)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Matching NLO QCD computations and parton shower simulations
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Herwig 7.0 / Herwig++ 3.0 Release Note
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• QCD Matrix Elements + Parton Showers
• New Recursion Relations for Tree Amplitudes of Gluons
• Event Generation with Sherpa 2.2
• Gluon scattering amplitudes at strong coupling
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Three-jet cross sections to next-to-leading order
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• Higgs boson gluon-fusion production in N3LO QCD
• Antenna Subtraction at NNLO
• Matching NLO QCD and parton showers in heavy flavour production
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• One-Loop Amplitudes for e^+ e^- to Four Partons
• Scalar one-loop integrals for QCD
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• Automation of one-loop QCD corrections
• Towards Jetography
• A novel subtraction scheme for double-real radiation at NNLO
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Multi-loop Amplitudes and Resummation
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Massive Loop Amplitudes from Unitarity
• Structure functions for large $x$ and renormalization of Wilson loops
• Fully differential VBF Higgs production at NNLO
• Evolution of Color Exchange in QCD Hard Scattering
• Full one-loop amplitudes from tree amplitudes
• Calculation of the quark and gluon form factors to three loops in QCD
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• D-dimensional unitarity cut method
• One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
• Automating dipole subtraction for QCD NLO calculations
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Threshold Resummation in Momentum Space from Effective Field Theory
• Infrared Structure at NNLO Using Antenna Subtraction
• A new method for real radiation at NNLO
• Infrared singularities of QCD amplitudes with massive partons
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Universal structure of subleading infrared poles in gauge theory amplitudes
• Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension
• Vector-boson fusion Higgs production at N${}^3$LO in QCD
• Electroweak Radiative Corrections for Collider Physics
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Numerical evaluation of phase space integrals by sector decomposition
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• A new approach to multi-jet calculations in hadron collisions
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• Higgs production in gluon fusion beyond NNLO
• Soft sub-leading divergences in Yang-Mills amplitudes
• Nested soft-collinear subtractions in NNLO QCD computations
• The Drell-Yan cross section to third order in the strong coupling constant
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Vector-Boson Fusion Higgs Pair Production at N${}^3$LO
• A subtraction scheme for NNLO computations
• Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
• Subleading Power Corrections for N-Jettiness Subtractions
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
• The method of regions and next-to-soft corrections in Drell-Yan production
• Sudakov resummation of multiparton QCD cross sections
• The Last of the Finite Loop Amplitudes in QCD
• On soft singularities at three loops and beyond
• The N-jettiness soft function at next-to-next-to-leading order
• High energy scattering in QCD and cross singularities of Wilson loops
• Multiple Jets at the LHC with High Energy Jets
• Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• Webs in multiparton scattering using the replica trick
• The three-loop cusp anomalous dimension in QCD
• Bootstrapping the QCD soft anomalous dimension
• Power Corrections in the N-jettiness Subtraction Scheme
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Constructing All-Order Corrections to Multi-Jet Rates
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Anomalous dimension of subleading-power N-jet operators
• The PYTHIA Event Generator: Past, Present and Future
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Higgs boson decay into b-quarks at NNLO accuracy
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• NLO PDFs from the ABMP16 fit
• Evolution equation for gluon Regge trajectory
• Monojet versus rest of the world I: t-channel Models
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• On near forward high energy scattering in QCD
• Renormalization group approach to soft gluon resummation
• Soft gluons at large angles in hadron collisions
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• A Global Fit to Scattering Data with NLL BFKL Resummations
• Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production
• A Subleading Operator Basis and Matching for $gg\to H$
• Local Analytic Sector Subtraction at NNLO
• First Subleading Power Resummation for Event Shapes
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• QCD resummation for hadronic final states
• Anomalous dimension of subleading-power $N$-jet operators II
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• A Complete Basis of Helicity Operators for Subleading Factorization
• Diagrammatic Exponentiation for Products of Wilson Lines
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• Building Blocks for Subleading Helicity Operators
• Measurement of inclusive and differential cross sections in the $H\to Z{Z}^{\ast }\to 4\ell$ decay channel in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Measurements of top-quark pair spin correlations in the $e\mu$ channel at $\sqrt{s}=13$ TeV using $pp$ collisions in the ATLAS detector
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• General properties of multiparton webs: proofs from combinatorics
• Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Four-loop collinear anomalous dimensions in QCD and $\mathcal{N}=4$ super Yang-Mills
• Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory
• Subleading Power Factorization with Radiative Functions
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
• Structure of Infrared Singularities of Gauge-Theory Amplitudes at Three and Four Loops
• The Soft Quark Sudakov
• Threshold Resummation of the Structure Function F_L
• W Plus Multiple Jets at the LHC with High Energy Jets
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• A Subleading Power Operator Basis for the Scalar Quark Current
• Factorisation and Subtraction beyond NLO
• Integrated triple-collinear counter-terms for the nested soft-collinear subtraction scheme
• Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization
• From Webs to Polylogarithms
• On next-to-leading power threshold corrections in Drell-Yan production at N${}^3$LO
• Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production
• Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Towards all-order factorization of QED amplitudes at next-to-leading power
• Asymptotic dynamics on the worldline for spinning particles
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Removing flat directions in SMEFT fits: how polarized electron-ion collider data can complement the LHC
• Soft Photon Theorem for High Energy Amplitudes in Yukawa and Scalar Theories
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• Multiple Gluon Exchange Webs
• Next-to-leading power threshold effects for resummed prompt photon production
• Helicity Methods for High Multiplicity Subleading Soft and Collinear Limits
• Next-to-leading power threshold corrections for finite order and resummed colour-singlet cross sections
• Higgs Boson Plus Dijets: Higher Order Corrections
• Z/gamma* plus Multiple Hard Jets in High Energy Collisions
• Analytic results for deep-inelastic scattering at NNLO QCD with the nested soft-collinear subtraction scheme
• High dimensional parameter tuning for event generators
• Combined subleading high-energy logarithms and NLO accuracy for W production in association with multiple jets
• The full angle-dependence of the four-loop cusp anomalous dimension in QED
• Soft Graviton Emission at High and Low Energies in Yukawa and Scalar Theories
• Higgs-boson plus Dijets: Higher-Order Matching for High-Energy Predictions
• Finite Quark-Mass Effects in Higgs Boson Production With Dijets at Large Energies
• Consistency conditions from generalized-unitarity
• Aspects of High Energy Scattering

Cited by in corpus (4)

• The SAGEX Review on Scattering Amplitudes
• Wave scattering event shapes at high energies
• QED as a many-body theory of worldlines: II. All-order S-matrix formalism
• Double soft graviton factors from the gravitational Wilson line