Joint thrust and TMD resummation in electron-positron and electron-proton collisions

Abstract

We present the framework for obtaining precise predictions for the transverse momentum of hadrons with respect to the thrust axis in $e^{+}{e}^{-}$ collisions. This will enable a precise extraction of transverse momentum dependent (TMD) fragmentation functions from a recent measurement by the Belle Collaboration. Our analysis takes into account, for the first time, the nontrivial interplay between the hadron transverse momentum and the cut on the thrust event shape. To this end, we identify three different kinematic regions, derive the corresponding factorization theorems within Soft Collinear Effective Theory, and present all ingredients needed for the joint resummation of the transverse momentum and thrust spectrum at NNLL accuracy. One kinematic region can give rise to non-global logarithms (NGLs), and we describe how to include the leading NGLs. We also discuss alternative measurements in $e^{+}{e}^{-}$ collisions that can be used to access the TMD fragmentation function. Finally, by using crossing symmetry, we obtain a new way to constrain TMD parton distributions, by measuring the displacement of the thrust axis in $ep$ collisions.

27 pages, 5 figures

References in corpus (25)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Treating the b quark distribution function with reliable uncertainties
• Parton Fragmentation Functions
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• Origin of single transverse-spin asymmetries in high-energy collisions
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Electroweak Corrections in High Energy Processes using Effective Field Theory
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
• Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond
• Jet-based measurements of Sivers and Collins asymmetries at the future Electron-Ion Collider
• Dissecting Soft Radiation with Factorization
• Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
• Recoil-free azimuthal angle for precision boson-jet correlation
• Transverse spin effects in hard semi-inclusive collisions
• N-Jettiness as a probe of nuclear dynamics
• The Fully-Differential Quark Beam Function at NNLO
• Transverse momentum dependent production cross sections of charged pions, kaons and protons produced in inclusive $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=$ 10.58 GeV
• QCD resummation on single hadron transverse momentum distribution with the thrust axis
• Universality-breaking effects in $e^{+}{e}^{-}$ hadronic production processes
• The Fully-Differential Gluon Beam Function at NNLO

Cited by in corpus (16)

• 50 Years of Quantum Chromodynamics
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• TMD Fragmentation Functions at N${}^3$LO
• Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
• Factorization of $e^{+}{e}^{-}\to HX$ cross section, differential in $z_h$, $P_T$ and thrust, in the $2$-jet limit
• Universality-breaking effects in $e^{+}{e}^{-}$ hadronic production processes
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• A journey into the proton structure: Progresses and challenges
• Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ processes within a TMD factorization approach and the polarizing fragmentation function
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Precision three-dimensional imaging of nuclei using recoil-free jets
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust
• Nucleon Tomography with 0-jettiness