QCD resummation on single hadron transverse momentum distribution with the thrust axis

Abstract

We derive the transverse momentum dependent (TMD) factorization and resummation formula of the unpolarized transverse momentum distribution ($j_T$) for the single hadron production with the thrust axis in electron-positron collision. Two different kinematic regions are considered, including small transverse momentum limit $j_T\ll Q$, and joint transverse momentum and threshold limit $j_T\ll Q(1-z_h)\ll Q$, where $Q$ and $z_h$ are the hard scattering energy and the observed hadron momentum fraction. Using effective theory methods, we resum logarithms $\ln (Q/j_T)$ and $\ln (1-z_h)$ to all orders. In the end we present the differential cross sections and Gaussian widths calculated for the inclusive charged pion production and find that our results are consistent with the measurements reported by the Belle collaboration.

25 pages, 5 figures

References in corpus (10)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Parton Fragmentation Functions
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions
• Collins azimuthal asymmetries of hadron production inside jets
• Polarized jet fragmentation functions
• Kinematics of Current Region Fragmentation in Semi-Inclusive Deeply Inelastic Scattering
• NLL${}^{\prime }$ resummation of jet mass
• Factorization for the light-jet mass and hemisphere soft function
• Non-global and rapidity logarithms in narrow jet broadening

Cited by in corpus (17)

• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Spin asymmetries in electron-jet production at the future electron ion collider
• General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach
• Joint thrust and TMD resummation in electron-positron and electron-proton collisions
• The Sivers Asymmetry in Hadronic Dijet Production
• 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
• Automated calculation of Jet fragmentation at NLO in QCD
• A journey into the proton structure: Progresses and challenges
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• 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
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• ECCE unpolarized TMD measurements
• Applying different angular ordering constraints and $k_t$-factorization approaches to the single inclusive hadron production in the $e^{+}{e}^{-}$ annihilation processes
• Extracting the $\Lambda$ Polarizing Fragmentation Function from Belle $e^{+}{e}^{-}$ Data Within the TMD Formalism
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust