Towards all-order factorization of QED amplitudes at next-to-leading power

Abstract

We generalise the factorization of abelian gauge theory amplitudes to next-to-leading power (NLP) in a soft scale expansion, following a recent generalisation for Yukawa theory. From an all-order power counting analysis of leading and next-to-leading regions, we infer the factorized structure for both a parametrically small and zero fermion mass. This requires the introduction of new universal jet functions, for non-radiative and single-radiative QED amplitudes, which we compute at one-loop order. We show that our factorization formula reproduces the relevant regions in one- and two-loop scattering amplitudes, appropriately addressing endpoint divergences. It provides a description of virtual collinear modes and accounts for non-trivial hard-collinear interplay present beyond the one-loop level, making this a first step towards a complete all-order factorization framework for gauge-theory amplitudes at NLP.

arXiv comment31 pages, 18 figures. v2: as in journal version

References in corpus (78)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Asymptotic expansion of Feynman integrals near threshold
• New Developments in FeynCalc 9.0
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Leptoproduction of Heavy Quarks II -- A Unified QCD Formulation of Charged and Neutral Current Processes from Fixed-target to Collider Energies
• The Resummation of Soft Gluon in Hadronic Collisions
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Structure functions for large $x$ and renormalization of Wilson loops
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Resummation for QCD Hard Scattering
• Evolution of Color Exchange in QCD Hard Scattering
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Heavy quarks in deep-inelastic scattering
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Sudakov Factorization and Resummation
• An Ordered Analysis of Heavy Flavour Production in Deep Inelastic Scattering
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders
• Threshold Resummation in Momentum Space from Effective Field Theory
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• Universal structure of subleading infrared poles in gauge theory amplitudes
• Higher-Order threshold effects to inclusive processes in QCD
• Resummation of Threshold Corrections for Single-Particle Inclusive Cross Sections
• Sudakov Form Factors
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Power-enhanced leading-logarithmic QED corrections to $B_q\to {\mu }^{+}{\mu }^{-}$
• Subleading Power Corrections for N-Jettiness Subtractions
• Geometric approach to asymptotic expansion of Feynman integrals
• Foundation and generalization of the expansion by regions
• The method of regions and next-to-soft corrections in Drell-Yan production
• On Sudakov and Soft resummations in QCD
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Webs in multiparton scattering using the replica trick
• Power Corrections in the N-jettiness Subtraction Scheme
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Anomalous dimension of subleading-power N-jet operators
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Charm Quark Mass Dependence of QCD Corrections to Nonleptonic Inclusive B Decays
• Renormalization group approach to soft gluon resummation
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production
• A Subleading Operator Basis and Matching for $gg\to H$
• First Subleading Power Resummation for Event Shapes
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• 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
• A Complete Basis of Helicity Operators for Subleading Factorization
• Anomalous dimension of subleading-power $N$-jet operators II
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• High-Energy Limit of QCD beyond Sudakov Approximation
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Threshold Resummation for Drell-Yan Process in Soft-Collinear Effective Theory
• Subleading Power Factorization with Radiative Functions
• The Soft Quark Sudakov
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• A Subleading Power Operator Basis for the Scalar Quark Current
• Next-to-leading power corrections to $V+1$ jet production in $N$-jettiness subtraction
• On threshold resummation beyond leading 1-x order
• Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization
• 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
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Soft Photon Theorem for High Energy Amplitudes in Yukawa and Scalar Theories
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• Deep inelastic scattering near the endpoint in soft-collinear effective theory
• Next-to-leading power threshold effects for resummed prompt photon production
• Resummation of double logarithms in loop-induced processes with effective field theory

Cited by in corpus (13)

• Asymptotic dynamics on the worldline for spinning particles
• The LBK theorem to all orders
• Threshold resummation of new partonic channels at next-to-leading power
• Refactorisation in subleading $\bar{B}\to X_s\gamma$
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massless QCD
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Multiple soft-photon emission at next-to-leading power to all orders
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• On the interference of $ggH$ and $c\bar{c}H$ Higgs production mechanisms and the determination of charm Yukawa coupling at the LHC
• Explicit computation of jet functions in coordinate space
• Double soft graviton factors from the gravitational Wilson line
• Universal structure of radiative QED amplitudes at one loop
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD