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Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations

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abstract

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to ${\cal O}(\as^2)$. In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

hep-th · 2026-05-27 · unverdicted · novelty 7.0

Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.

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  • Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor hep-th · 2026-05-27 · unverdicted · none · ref 68 · internal anchor

    Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.