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The Fully-Differential Quark Beam Function at NNLO

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abstract

We present the first calculation of a fully-unintegrated parton distribution (beam function) at next-to-next-to-leading order (NNLO). We obtain the fully-differential beam function for quark-initiated processes by matching it onto standard parton distribution functions (PDFs) at two loops. The fully-differential beam function is a universal ingredient in resummed predictions of observables probing both the virtuality as well as the transverse momentum of the incoming quark in addition to its usual longitudinal momentum fraction. For such double-differential observables our result provides the part of the NNLO singular cross section related to collinear initial-state radiation (ISR), and is important for the resummation of large logarithms through N3LL.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Event-axis TMD measurements in $e^+e^-$ and SIDIS

hep-ph · 2026-07-02 · unverdicted · novelty 7.0

Completes soft-operator formulation for thrust-axis TMD in e+e- and SIDIS, proposes nonperturbative model with event-shape dependence, resums logs, and validates against Pythia8.3 simulations.

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  • Event-axis TMD measurements in $e^+e^-$ and SIDIS hep-ph · 2026-07-02 · unverdicted · none · ref 46 · internal anchor

    Completes soft-operator formulation for thrust-axis TMD in e+e- and SIDIS, proposes nonperturbative model with event-shape dependence, resums logs, and validates against Pythia8.3 simulations.