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Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
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abstract
We initiate the study of transverse momentum-dependent (TMD) fragmentation functions for heavy quarks, demonstrate their factorization in terms of novel nonperturbative matrix elements in heavy-quark effective theory (HQET), and prove new TMD sum rules that arise from heavy-quark spin symmetry. We discuss the phenomenology of heavy-quark TMD FFs at $B$ factories and find that the Collins effect, in contrast to claims in the literature, is not parametrically suppressed by the heavy-quark mass. We further calculate all TMD parton distribution functions for the production of heavy quarks from polarized gluons within the nucleon and use our results to demonstrate the potential of the future EIC to resolve TMD heavy-quark fragmentation in semi-inclusive DIS, complementing the planned EIC program to use heavy quarks as probes of gluon distributions.
Forward citations
Cited by 6 Pith papers
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Strongly Coupled Soft Functions
The cusp anomalous dimension at strong coupling is obtained for all rapidity separations from two competing string saddles, and the transversely-separated two-cusp Wilson loop scales as (b_perp^2 Lambda^2)^{-Re Gamma_cusp}.
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Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib
State-of-the-art LHC predictions for W/Z transverse momentum spectra at N3LL' and approximate N4LL accuracy, with a rigorous reduction of nonperturbative TMD physics to one effective function per process.
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The role of the soft scale for $J/\psi$ production in the transverse momentum dependent framework
The paper derives new TMD soft transition functions and shows they dominate J/psi production at small transverse momentum by a factor of 1/v over previously used shape functions.
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Heavy Quark Pair Energy Correlators: From Profiling Partonic Splittings to Probing Heavy-Flavor Fragmentation
Heavy-flavor energy-energy correlators isolate the gluon to heavy quark-antiquark splitting and are predicted to be sensitive to medium modifications and anisotropic quark-gluon plasma structure.
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Probing nonperturbative transverse momentum dependent PDFs with chiral perturbation theory: the $\bar{d}-\bar{u}$ asymmetry
Chiral perturbation theory predicts an exponentially suppressed dbar minus ubar asymmetry in the proton's TMD PDFs at large transverse separation.
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Heavy quark mass effects in the Energy-Energy Correlation in the back-to-back region
Massive quark Sudakov resummation for e+e- energy-energy correlations is extended to NNLL accuracy, and the NLL dead cone angle is enlarged by sqrt(e).
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