Polarized triple-collinear splitting functions at NLO for processes with photons

Abstract

We compute the polarized splitting functions in the triple collinear limit at next-to-leading order accuracy (NLO) in the strong coupling ${\alpha }_{\mathrm{S}}$, for the splitting processes $\gamma \to q\bar{q}\gamma$, $\gamma \to q\bar{q}g$ and $g\to q\bar{q}\gamma$. The divergent structure of each splitting function was compared to the predicted behaviour according to Catani's formula. The results obtained in this paper are compatible with the unpolarized splitting functions computed in a previous article. Explicit results for NLO corrections are presented in the context of conventional dimensional regularization (CDR).

31 pages, no figures. Exact results for photon started-processes available in Appendix A. Improved discussion about implementation and typos corrected. Final version published in JHEP

References in corpus (1)

• Triple collinear splitting functions at NLO for scattering processes with photons

Cited by in corpus (7)

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• Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
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• Collinear functions for QCD resummations
• One-loop triple collinear splitting amplitudes in QCD
• Catani's generalization of collinear factorization breaking