Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust

Abstract

The lack of convergence of the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics. We consider thrust distribution in the two-jet region for the flavour-nonsinglet off-diagonal contribution, where a gluon-initiated jet recoils against a quark-antiquark pair, which is power-suppressed. With the help of operatorial endpoint factorization conditions, we obtain a factorization formula, where the individual terms are free from endpoint divergences in convolutions and can be expressed in terms of renormalized hard, soft and collinear functions in four dimensions. This allows us to perform the first resummation of the endpoint-divergent SCET${}_{\mathrm{I}}$ observables at the leading logarithmic accuracy using exclusively renormalization-group methods. The presented approach relies on universal properties of the soft and collinear limits and may serve as a paradigm for the systematic NLP resummation for other $1\to 2$ and $2\to 1$ collider physics processes.

arXiv comment53 pages, 8 figures

References in corpus (42)

• Soft-Collinear Factorization in Effective Field Theory
• Asymptotic expansion of Feynman integrals near threshold
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• The Resummation of Soft Gluon in Hadronic Collisions
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Jets from Massive Unstable Particles: Top-Mass Determination
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs Production with a Central Jet Veto at NNLL+NNLO
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• Subleading Power Corrections for N-Jettiness Subtractions
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• Direct photon production with effective field theory
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Anomalous dimension of subleading-power N-jet operators
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• First Subleading Power Resummation for Event Shapes
• Anomalous dimension of subleading-power $N$-jet operators II
• The Three-loop Quark Jet Function
• Threshold factorization of the Drell-Yan process at next-to-leading power
• 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
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Subleading Power Factorization with Radiative Functions
• B -> chi_cJ K decays revisited
• The Soft Quark Sudakov
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization
• Gluon jet function at three loops in QCD
• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• On next to soft threshold corrections to DIS and SIA processes
• Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions
• Radiative Quark Jet Function with an External Gluon
• Light-cone distribution amplitudes of light mesons with QED effects
• Threshold resummation of new partonic channels at next-to-leading power
• Renormalization of the radiative jet function

Cited by in corpus (30)

• 50 Years of Quantum Chromodynamics
• Observation of quantum entanglement in top quark pair production in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Spinning Gluons from the QCD Light-Ray OPE
• NNLO QCD corrections to event shapes at the LHC
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production
• Muon-electron backward scattering: a prime example for endpoint singularities in SCET
• Analytic result for the top-quark width at next-to-next-to-leading order in QCD
• Refactorisation in subleading $\bar{B}\to X_s\gamma$
• Structure-Dependent QED Effects in Exclusive B Decays at Subleading Power
• Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
• On the contribution of the electromagnetic dipole operator ${\mathcal{O}}_7$ to the ${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ decay amplitude
• Analytic decay width of the Higgs boson to massive bottom quarks at order ${\alpha }_s^3$
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Higher Twists
• Data-driven analyses and model-independent fits for present $b\to s\ell \ell$ results
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• On the gauge-invariance of SCET beyond leading power
• Subleading power corrections for event shape variables in $e^{+}{e}^{-}$ annihilation
• Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ at subleading power
• Soft gluon resummation for gluon fusion $ZH$ production
• Factorization at subleading power in deep inelastic scattering in the $x\to 1$ limit
• Analytic Result of Higgs Boson Decay to Gluons with Full Quark Mass Dependence
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• Next to Soft Threshold Resummation for $VH$ Production
• The Simplest B Decay, Precisely
• Update of the nonlocal sub-leading $O_1$-$O_7$ contribution to $\bar{B}\to X_s\gamma$ at LO
• Soft background fields at next-to-leading power in transverse momentum dependent SIDIS with jets