QCD Beyond Leading Power

Abstract

In this thesis I study the infrared limits of QCD beyond leading power by developing effective quantum field theory techniques. I introduce the motivations for studying this subject both as a tool to deepen our understanding of the infrared structure of gauge theory amplitudes and cross sections in the soft, collinear and Regge limit as well as to improve predictions for collider observables. Using and extending the framework of Soft and Collinear Effective Theory (SCET), I explore the ingredients of factorization beyond leading power constructing subleading hard scattering operators and radiative jet and soft functions for processes such as Higgs production and Drell-Yan. I introduce new subleading power gauge invariant objects, the $\theta$-jet and $\theta$-soft functions, which arise in the renormalization of subleading power operators. I use them to achieve the first resummation of collinear and soft logarithms beyond leading power for a collider observable in QCD. I study the perturbative power corrections to differential distributions for color singlet production at the LHC retaining the full dependence on the kinematics of the color singlet. I highlight and solve the subtleties related to the regularization of rapidity divergences beyond leading power for which I propose a new regulator, the pure rapidity regulator. I present a new method to employ cutting edge multiloop techniques for the computation of the expansions of cross sections in the collinear limit. This allows the extraction of universal ingredients arising in the collinear limit of QCD to an unprecedented level of precision in perturbation theory. Finally, I study the Regge limit at the amplitude and cross section level beyond leading power, developing a Lagrangian formalism for the treatment of fermion mediated forward scattering processes in QCD and applying it to obtain the quark reggeization and BFKL resummation.

Ph.D. thesis, MIT, 2020, 419 pages, very large number of figures

References in corpus (211)

• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Operator expansion for high-energy scattering
• An effective field theory for collinear and soft gluons: heavy to light decays
• Parton distributions from high-precision collider data
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Soft-Collinear Factorization in Effective Field Theory
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Multiloop integrals in dimensional regularization made simple
• Asymptotic expansion of Feynman integrals near threshold
• Differential Equations for Two-Loop Four-Point Functions
• The Wilson renormalization group for low x physics: towards the high density regime
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Multi-Parton Amplitudes in Gauge Theories
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• Higgs boson gluon-fusion production in N3LO QCD
• Hard Scattering Factorization from Effective Field Theory
• What is the Simplest Quantum Field Theory?
• Resummation of non-global QCD observables
• Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Infrared singularities of scattering amplitudes in perturbative QCD
• ZZ production at hadron colliders in NNLO QCD
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Gauge invariant effective action for high-energy processes in QCD
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• The Rapidity Renormalization Group
• Four-Loop Decoupling Relations for the Strong Coupling
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Evidence for a New Soft Graviton Theorem
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• Factorization at the LHC: From PDFs to Initial State Jets
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Color singlet production at NNLO in MCFM
• Jets from Massive Unstable Particles: Top-Mass Determination
• Analysis of the Photon Spectrum in Inclusive $B\to X_s\gamma$ Decays
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Revisiting parton evolution and the large-x limit
• Vector-boson fusion Higgs production at N${}^3$LO in QCD
• Two-loop QCD corrections to gluon-gluon scattering
• Soft triple-real radiation for Higgs production at N3LO
• Vector boson production at hadron colliders: hard-collinear coefficients at the NNLO
• Calculation of the transverse parton distribution functions at next-to-next-to-leading order
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• QCD transverse-momentum resummation in gluon fusion processes
• Resummation of double logarithms in electroweak high energy processes
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Reparameterization Invariance for Collinear Operators
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• The Drell-Yan cross section to third order in the strong coupling constant
• Soft-/rapidity- anomalous dimensions correspondence
• Gluon Regge Trajectory in the two-loop Approximation
• Predictions for diphoton production at the LHC through NNLO in QCD
• Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation
• Resummation of heavy jet mass and comparison to LEP data
• The two-loop hemisphere soft function
• Combining Higher-Order Resummation with Multiple NLO Calculations and Parton Showers in GENEVA
• Collinear effective theory at subleading order and its application to heavy-light currents
• Mixed QCD-electroweak O(α_sα) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• Pseudoscalar Higgs boson production at hadron colliders in NNLO QCD
• Vector-Boson Fusion Higgs Pair Production at N${}^3$LO
• Subleading Power Corrections for N-Jettiness Subtractions
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• Renormalization of twist-three operators and integrable lattice models
• From correlation functions to event shapes
• An Effective Field Theory for Jet Processes
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• The two-loop soft current in dimensional regularization
• Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
• Event shapes in N=4 super-Yang-Mills theory
• Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
• Recoil and Threshold Corrections in Short-distance Cross Sections
• Intrinsic transverse parton momenta in deeply inelastic reactions
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Energy-energy correlations in N=4 SYM
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• Power Corrections to Event Shapes with Mass-Dependent Operators
• Factorization and Resummation for Dijet Invariant Mass Spectra
• Diagrammatic insights into next-to-soft corrections
• Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections
• Resummed Higgs cross section at N${}^3$LL
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
• Resummation of Transverse Momentum Distributions in Distribution Space
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• W-boson plus jet differential distributions at NNLO in QCD
• Electroweak Sudakov Corrections using Effective Field Theory
• Integrability and WKB solution of twist-three evolution equations
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Energy flow in QCD and event shape functions
• Soft-Collinear Factorization and Zero-Bin Subtractions
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Resummation of Nonperturbative Corrections to the Lepton Spectrum in Inclusive $B\to X\ell \bar{\nu }$ Decays
• Measurements of differential Z boson production cross sections in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Evolution equation for gluon Regge trajectory
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• Measurement of the differential Drell-Yan cross section in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Cancellation of Glauber gluon exchange in the double Drell-Yan process
• Fragmentation in Jets at NNLO
• Strong Phases and Factorization for Color Suppressed Decays
• NLO Higgs boson rapidity distribution at hadron colliders
• Loop-Corrected Virasoro Symmetry of 4D Quantum Gravity
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu
• On Power Suppressed Operators and Gauge Invariance in SCET
• Resummation Properties of Jet Vetoes at the LHC
• Using 1-Jettiness to Measure 2 Jets in DIS 3 Ways
• A Subleading Operator Basis and Matching for $gg\to H$
• Fully-Unintegrated Parton Distribution and Fragmentation Functions at Perturbative k_T
• Phenomenology of the Z-boson plus jet process at NNLO
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Transverse Momentum Dependent Quasi-Parton-Distributions
• Energy-energy correlations at next-to-next-to-leading order
• Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$
• An infrared approach to Reggeization
• High-Energy Limit of QCD beyond Sudakov Approximation
• Higgs bosons with large transverse momentum at the LHC
• Resummation of jet-veto logarithms in hadronic processes containing jets
• Transverse momentum dependent factorization for lattice observables
• Linearly polarized gluons at next-to-next-to leading order and the Higgs transverse momentum distribution
• Reparameterization Invariant Collinear Operators
• Soft Wilson lines in soft-collinear effective theory
• Precise predictions for the angular coefficients in Z-boson production at the LHC
• QCD Corrections to the nucleon's spin structure function $G_2(x,Q^2)$
• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• A Soft-Collinear Mode for Jet Cross Sections in Soft Collinear Effective Theory
• A proof of the reggeized form of amplitudes with quark exchanges
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• High-Energy Limit of Mass-Suppressed Amplitudes in Gauge Theories
• Light-cone distribution functions for B decays at subleading order in 1/mb
• Residual Local Supersymmetry and the Soft Gravitino
• Drell-Yan process with jet vetoes: breaking of generalized factorization
• On the one-loop calculations with Reggeized quarks
• New fermionic soft theorems
• Factorization and Resummation for Generic Hierarchies between Jets
• Constraint equations for heavy-to-light currents in SCET
• Collinear factorization violation and effective field theory
• Nonfactorizable QCD Effects in Higgs Boson Production via Vector Boson Fusion
• Next-to-leading power corrections to $V+1$ jet production in $N$-jettiness subtraction
• Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering
• Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan
• Phase Space and Jet Definitions in SCET
• The evolution of parton distributions beyond leading order: the singlet case
• Difficulties in the description of Drell-Yan processes at moderate invariant mass and high transverse momentum
• Tree-level splitting amplitudes for a quark into four collinear partons
• Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
• Integrated triple-collinear counter-terms for the nested soft-collinear subtraction scheme
• Joint transverse momentum and threshold resummation beyond NLL
• On next-to-leading power threshold corrections in Drell-Yan production at N${}^3$LO
• Combined threshold and transverse momentum resummation for inclusive observables
• Azimuthal asymmetries in unpolarized SIDIS and Drell-Yan processes: a case study towards TMD factorization at subleading twist
• Higgs Boson Production via Gluon Fusion: Soft-Gluon Resummation including Mass Effects
• Secondary Heavy Quark Production in Jets through Mass Modes
• Double-soft behavior for scalars and gluons from string theory
• The Fully-Differential Quark Beam Function at NNLO
• Higgs-differential cross section at NNLO in dimensional regularisation
• Renormalization of Dijet Operators at Order $1/Q^2$ in Soft-Collinear Effective Theory
• Subleading Shape Functions and the Determination of |V_{ub}|
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Rapidity divergences and valid definitions of parton densities
• Subleading Corrections To Thrust Using Effective Field Theory
• Analytic Boosted Boson Discrimination at the Large Hadron Collider
• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• Collinear expansion for color singlet cross sections
• Full-Phase-Space Twist Expansion in Semileptonic and Radiative B-Meson Decays
• Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions
• Improved resummation prediction on Higgs boson production at hadron colliders
• Subleading shape function contributions to the hadronic invariant mass spectrum in B -> X_u l νdecay
• Double-real contribution to the quark beam function at N${}^3$LO QCD
• The Fully-Differential Gluon Beam Function at NNLO
• Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order
• Shape Function Effects in B -> X_c l ν_l
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• Threshold resummation to any order in (1-x)
• Transverse single spin asymmetry in the Drell-Yan process
• From Underlying Event Sensitive To Insensitive: Factorization and Resummation
• Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering
• All-order results for infrared and collinear singularities in massless gauge theories