Helicity Methods for High Multiplicity Subleading Soft and Collinear Limits

Abstract

The factorization of multi-leg gauge theory amplitudes in the soft and collinear limits provides strong constraints on the structure of amplitudes, and enables efficient calculations of multi-jet observables at the LHC. There is significant interest in extending this understanding to include subleading powers in the soft and collinear limits. While this has been achieved for low point amplitudes, for higher point functions there is a proliferation of variables and more complicated phase space, making the analysis more challenging. By combining the subleading power expansion of spinor-helicity variables in collinear limits with consistency relations derived from the soft collinear effective theory, we show how to efficiently extract the subleading power leading logarithms of $N$-jet event shape observables directly from known spinor-helicity amplitudes. At subleading power, we observe the presence of power law singularities arising solely from the expansion of the amplitudes, which for hadron collider event shapes lead to the presence of derivatives of parton distributions. The techniques introduced here can be used to efficiently compute the power corrections for $N$-jettiness subtractions for processes involving jets at the LHC.

arXiv comment25 pages, 1 figure - v2: improvements to text and notation, journal version

References in corpus (57)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Soft-Collinear Factorization in Effective Field Theory
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• New Recursion Relations for Tree Amplitudes of Gluons
• 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
• One-Loop Amplitudes for e^+ e^- to Four Partons
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Revisiting parton evolution and the large-x limit
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Reparameterization Invariance for Collinear Operators
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• The method of regions and next-to-soft corrections in Drell-Yan production
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Direct photon production at next-to-next-to-leading order
• One-Loop Amplitudes for e^+ e^- to q-bar q Q-bar Q
• 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
• Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
• Power Corrections in the N-jettiness Subtraction Scheme
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Subleading Shape Functions in Inclusive B Decays
• Anomalous dimension of subleading-power N-jet operators
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• On Power Suppressed Operators and Gauge Invariance in SCET
• A Subleading Operator Basis and Matching for $gg\to H$
• Production of a Higgs Boson Plus Two Jets in Hadronic Collisions
• First Subleading Power Resummation for Event Shapes
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• H-->ggg(gqqbar) at Two Loops in the Large-M_t Limit
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• One-loop Higgs plus four gluon amplitudes: Full analytic results
• A Complete Basis of Helicity Operators for Subleading Factorization
• Analytic one-loop amplitudes for a Higgs boson plus four partons
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• Building Blocks for Subleading Helicity Operators
• Power corrections to B\to X_u l ν(X_sγ) decay spectra in the "shape-function" region
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• Power corrections to TMD factorization for Z-boson production
• Analytic results for the one-loop NMHV Hqqgg amplitude
• A Subleading Power Operator Basis for the Scalar Quark Current
• Higher-twist corrections to gluon TMD factorization
• On next-to-leading power threshold corrections in Drell-Yan production at N${}^3$LO
• Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes
• Collinear limits beyond the leading order from the scattering equations
• Renormalization of Dijet Operators at Order $1/Q^2$ in Soft-Collinear Effective Theory
• Subleading Jet Functions in Inclusive B Decays
• Full-Phase-Space Twist Expansion in Semileptonic and Radiative B-Meson Decays
• Towards the Anomalous Dimension to Order Lambda_QCD/m_b for Phase Space Restricted B --> X(u) ell anti-nu and B --> X(s) gamma

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• 50 Years of Quantum Chromodynamics
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Subleading Power Factorization with Radiative Functions
• The Soft Quark Sudakov
• Next-to-leading power corrections to $V+1$ jet production in $N$-jettiness subtraction
• Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• N-jettiness beam functions at N3LO
• Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets
• Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
• Collinear expansion for color singlet cross sections
• ChiliPDF: Chebyshev Interpolation for Parton Distributions
• Threshold resummation of new partonic channels at next-to-leading power
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Factorization at subleading power in deep inelastic scattering in the $x\to 1$ limit