The Rapidity Renormalization Group

Abstract

We introduce a systematic approach for the resummation of perturbative series which involve large logarithms not only due to large invariant mass ratios but large rapidities as well. Series of this form can appear in a variety of gauge theory observables. The formalism is utilized to calculate the jet broadening event shape in a systematic fashion to next to leading logarithmic order. An operator definition of the factorized cross section as well as a closed form of the next-to leading log cross section are presented. The result agrees with the data to within errors.

4 pages, 3 figures

References in corpus (4)

• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions

Cited by in corpus (195)

• QCD and strongly coupled gauge theories: challenges and perspectives
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• 50 Years of Quantum Chromodynamics
• Calculation of the transverse parton distribution functions at next-to-next-to-leading order
• Jet p_T Resummation in Higgs Production at NNLL'+NNLO
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Analytic Regularization in Soft-Collinear Effective Theory
• An Effective Field Theory for Forward Scattering and Factorization Violation
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• A QCD Analysis of Double Parton Scattering: Color Correlations, Interference Effects and Evolution
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• The N-jettiness soft function at next-to-next-to-leading order
• Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
• Comparing and Counting Logs in Direct and Effective Methods of Resummation
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• TMDlib and TMDplotter: library and plotting tools for transverse-momentum-dependent parton distributions
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Power Corrections to Event Shapes with Mass-Dependent Operators
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
• Precision Thrust Cumulant Moments at N^3LL
• Resummation of Transverse Momentum Distributions in Distribution Space
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Higgs boson pair production via gluon fusion at N${}^3$LO in QCD
• Transverse momentum dependent PDFs at N${}^3$LO
• Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions
• Rapidity renormalized TMD soft and beam functions at two loops
• NNLL Resummation for Jet Broadening
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• Fragmentation in Jets at NNLO
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Resummation Properties of Jet Vetoes at the LHC
• Fully-Unintegrated Parton Distribution and Fragmentation Functions at Perturbative k_T
• Leading-color fully differential two-loop soft corrections to QCD dipole showers
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Factorization and Resummation for Jet Broadening
• Transverse momentum dependent distributions in $e^{+}{e}^{-}$ and semi-inclusive deep-inelastic scattering using jets
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Determination of the Collins-Soper Kernel from Lattice QCD
• On the Annihilation Rate of WIMPs
• The Energy Distribution of Subjets and the Jet Shape
• The Four Loop QCD Rapidity Anomalous Dimension
• Soft Collinear Effective Theory for Heavy WIMP Annihilation
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ boson production data with TMD evolution
• Connecting Different TMD Factorization Formalisms in QCD
• TMDlib2 and TMDplotter: a platform for 3D hadron structure studies
• XCone: N-jettiness as an Exclusive Cone Jet Algorithm
• The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation
• Lorentz invariance in heavy particle effective theories
• Probing Transverse-Momentum Distributions With Groomed Jets
• CASCADE3 A Monte Carlo event generator based on TMDs
• Effective Field Theory after a New-Physics Discovery
• Resummed Photon Spectra for WIMP Annihilation
• Constraints on Galactic Wino Densities from Gamma Ray Lines
• Precision Photon Spectra for Wino Annihilation
• A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N${}^3$LO
• Enhanced non-perturbative effects through the collinear anomaly
• Transverse momentum dependent operator expansion at next-to-leading power
• N${}^3$LO extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ data
• Factorization and Resummation for Generic Hierarchies between Jets
• Factorization connecting continuum and lattice TMDs
• Transverse Momentum Dependent Fragmenting Jet Functions with Applications to Quarkonium Production
• Resummation of rapidity logarithms in $B$ meson wave functions
• Automated NNLL+NLO Resummation for Jet-Veto Cross Sections
• Resummation of Boson-Jet Correlation at Hadron Colliders
• Small-mass effects in heavy-to-light form factors
• Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan
• Transverse momentum in double parton scattering: factorisation, evolution and matching
• Recoil-free azimuthal angle for precision boson-jet correlation
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• TMD Fragmentation Functions at N${}^3$LO
• Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• Electroweak Logarithms in Inclusive Cross Sections
• Joint transverse momentum and threshold resummation beyond NLL
• Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
• An effective field theory approach to quarkonium at small transverse momentum
• Jet Vetoes Interfering with H->WW
• Effective field theory approach to heavy quark fragmentation
• Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC
• Semi-Inclusive Wino and Higgsino Annihilation to LL'
• Resummed photon spectrum from dark matter annihilation for intermediate and narrow energy resolution
• Spin asymmetries in electron-jet production at the future electron ion collider
• Variable Flavor Number Scheme for Final State Jets in Thrust
• The δN formula is the dynamical renormalization group
• Event-Based Transverse Momentum Resummation
• Secondary Heavy Quark Production in Jets through Mass Modes
• Unpolarized Quark and Gluon TMD PDFs and FFs at N${}^3$LO
• Factorization Violation and Scale Invariance
• Anomalous dimensions of the double parton fragmentation functions
• Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production
• Fragmentation to a jet in the large $z$ limit
• Calculating the angle between jet axes
• The role of Glauber Exchange in Soft Collinear Effective Theory and the Balitsky-Fadin-Kuraev-Lipatov Equation
• Disentangling Long and Short Distances in Momentum-Space TMDs
• Jet Veto Resummation with Jet Rapidity Cuts
• Resummation of Jet Veto Logarithms at partial N${}^3$LL + NNLO for $W^{+}{W}^{-}$ Production at the LHC
• Jet Veto Clustering Logarithms Beyond Leading Order
• Resummation Prediction on Higgs and Vector Boson Associated Production with a Jet Veto at the LHC
• Precision boson-jet azimuthal decorrelation at hadron colliders
• Fermionic Glauber Operators and Quark Reggeization
• Probing Transverse Momentum Dependent Structures with Azimuthal Dependence of Energy Correlators
• Transverse $\Lambda$ Polarization in $e^{+}{e}^{-}$ collisions
• One-loop Matching for Spin-Dependent Quasi-TMDs
• The Higgs Transverse Momentum Distribution at NNLL and its Theoretical Errors
• The Jet Shape at NLL${}^{\prime }$
• High precision predictions for exclusive $VH$ production at the LHC
• Collinear expansion for color singlet cross sections
• Projected transverse momentum resummation in top-antitop pair production at LHC
• QCD resummation on single hadron transverse momentum distribution with the thrust axis
• Transverse Vetoes with Rapidity Cutoff in SCET
• Two-Loop Massive Quark Jet Functions in SCET
• Joint thrust and TMD resummation in electron-positron and electron-proton collisions
• The Sivers Asymmetry in Hadronic Dijet Production
• The spin-dependent quark beam function at NNLO
• The First Calculation of Fractional Jets
• Hard Matching for Boosted Tops at Two Loops
• Two-loop splitting in double parton distributions
• Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order
• Variable Flavor Number Scheme for Final State Jets in DIS
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Non-global and rapidity logarithms in narrow jet broadening
• Jet Shapes in Dijet Events at the LHC in SCET
• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• Factorisation of soft gluons in multiparton scattering
• A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
• QCD Analysis of the Scale-Invariance of Jets
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Collinear functions for QCD resummations
• Two loop soft function for secondary massive quarks
• Regge behavior in effective field theory
• Quark and gluon two-loop beam functions for leading-jet $p_T$ and slicing at NNLO
• Calculating Soft Radiation at One Loop
• Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders
• Impact of Jet Veto Resummation on Slepton Searches
• Evolution of cusped light-like Wilson loops and geometry of the loop space
• Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes
• Two-loop splitting in double parton distributions: the colour non-singlet case
• Soft collinear effective theory for gravity
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
• A Collinear Perspective on the Regge Limit
• From Underlying Event Sensitive To Insensitive: Factorization and Resummation
• Transverse Momentum-Dependent Heavy-Quark Fragmentation at Next-to-Leading Order
• Breakdown of the naive parton model in super-weak scale collisions
• A numerical formulation of resummation in effective field theory
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops
• Effective Field Theory of 2D van Hove Singularities
• Consistent treatment of rapidity divergence in soft-collinear effective theory
• Wilsonian effective field theory of 2D van Hove singularities
• Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering
• Rapidity Divergences and Deep Inelastic Scattering in the Endpoint Region
• Unintegrated sea quark at small x and vector boson production
• Structure of divergences in Drell-Yan process with small transverse momentum
• Removing phase-space restrictions in factorized cross sections
• Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
• Soft-Collinear Supersymmetry
• The two-loop Higgs impact factor
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• Azimuthal decorrelation for photon induced dijet production in ultra-peripheral collisions of heavy ions
• Mass Dependence of Higgs Production at Large Transverse Momentum
• 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
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Threshold Factorization Redux
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• Rapidity Logarithms in SCET Without Modes
• Mass Dependence of Higgs Production at Large Transverse Momentum through a Bottom Quark Loop
• Rapidity regulators in the semi-inclusive deep inelastic scattering and Drell-Yan processes
• Factorization at subleading power in deep inelastic scattering in the $x\to 1$ limit
• Transverse momentum dependent distribution functions in the threshold limit
• Effective Field Theory Factorization for Diffraction
• Mapping the internal structure of hadrons through color and spin effects
• N-jettiness for muon jet pairs in electroweak high-energy processes
• Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
• Transverse Energy-Energy Correlator for Vector Boson-Tagged Hadron Production in $pp$ and $pA$ collisions
• One-loop Jet Functions by Geometric Subtraction
• The Evolution of Soft Collinear Effective Theory
• N-jettiness in electroweak high-energy processes
• Dihadron Angular Correlations in the $e^{+}{e}^{-}$ Collision
• A reanalysis of event shape distributions in electron-positron annihilation
• Quark-Gluon Backscattering in the Regge Limit at One-Loop
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust
• Studying transverse momentum distributions with jets at N${}^3$LL
• Evolution of unpolarized transverse momentum dependent parton distributions of twist-3
• Thrust distribution resummation in e^{+}e^{-} collisions
• The analytic two-loop soft function for leading-jet $p_T$
• QCD Beyond Leading Power