Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production

Abstract

In this work, we present a complete theoretical framework for analyzing the distribution of polarized hadrons within jets, with and without measuring the transverse momentum relative to the standard jet axis. Using soft-collinear effective theory (SCET), we derive the factorization and provide the theoretical calculation of both semi-inclusive and exclusive fragmenting jet functions (FJFs) under longitudinal and transverse polarization. With the polarized FJFs, one gains access to a variety of new observables that can be used for extracting both collinear and transverse momentum dependent parton distribution functions (PDFs) and fragmentation functions (FFs). As examples, we provide numerical results for the spin asymmetry $A_{TU,T}^{\cos ({\varphi }_S-{\hat{\varphi }}_{S_h})}$ from polarized semi-inclusive hadron-in-jet production in polarized $pp$ collisions at RHIC kinematics, where a transversely polarized quark would lead to the transverse spin of the final-state hadron inside the jet and is thus sensitive to the transversity fragmentation functions. Similarly, another spin asymmetry, $A_{TU,L}^{\cos ({\varphi }_q-{\varphi }_S)}$ from polarized exclusive hadron-in-jet production in polarized $ep$ collisions at EIC kinematics would allow us to access the helicity fragmentation functions. These observables demonstrate promising potential in investigating transverse momentum dependent PDFs and FFs and are worthwhile for further measurements.

49 pages, 9 figures

References in corpus (31)

• New parton distributions for collider physics
• Jet substructure as a new Higgs search channel at the LHC
• Parton Fragmentation Functions
• Calculating the Charge of a Jet
• Resummation of Transverse Momentum Distributions in Distribution Space
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Parton Fragmentation within an Identified Jet at NNLL
• Fragmentation in Jets at NNLO
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Lattice QCD calculation of the Collins-Soper kernel from quasi TMDPDFs
• Collins azimuthal asymmetries of hadron production inside jets
• The Four Loop QCD Rapidity Anomalous Dimension
• Using hadron-in-jet data in a global analysis of $D^{\ast }$ fragmentation functions
• Probing Quarkonium Production Mechanisms with Jet Substructure
• Polarized jet fragmentation functions
• Polarized Antimatter in the Proton from Global QCD Analysis
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• Resummation for Polarized Semi-Inclusive Deep-Inelastic Scattering at Small Transverse Momentum
• Semi-inclusive Deep-Inelastic Scattering, Parton Distributions and Fragmentation Functions at a Future Electron-Ion Collider
• Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order
• Transverse Lambda production at the future Electron-Ion Collider
• The Jet Shape at NLL${}^{\prime }$
• First global QCD analysis of the TMD ${\mathbf{g}}_{1\mathbf{T}}$ from semi-inclusive DIS data
• Predictions for the sPHENIX physics program
• Automated calculation of Jet fragmentation at NLO in QCD
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• Neutrino-tagged jets at the Electron-Ion Collider
• Revisiting the role of grooming in DIS
• Analogies between hadron-in-jet and dihadron fragmentation
• Hadron productions and jet substructures associated with $Z^0/\gamma$ in Pb+Pb collisions at the LHC

Cited by in corpus (4)

• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• Accessing nucleon transversity with one-point energy correlators
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• Collins asymmetries for pion-in-jet production in polarized $\ell p$ collisions at the EIC