Triple collinear splitting functions at NLO for scattering processes with photons

Abstract

We present splitting functions in the triple collinear limit at next-to-leading order. The computation was performed in the context of massless QCD+QED, considering only processes which include at least one photon. Through the comparison of the IR divergent structure of splitting amplitudes with the expected known behavior, we were able to check our results. Besides that we implemented some consistency checks based on symmetry arguments and cross-checked the results among them. Studying photon-started processes, we obtained very compact results.

32 pages, 6 figures. Final version published in JHEP

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Cited by in corpus (15)

• Four-dimensional unsubtraction from the loop-tree duality
• QED corrections to the Altarelli-Parisi splitting functions
• Two-loop QED corrections to the Altarelli-Parisi splitting functions
• Tree-level splitting amplitudes for a quark into four collinear partons
• Tree-level splitting amplitudes for a gluon into four collinear partons
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Polarized triple-collinear splitting functions at NLO for processes with photons
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Beam functions for $N$-jettiness at N${}^3$LO in perturbative QCD
• Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
• Collinear functions for QCD resummations
• Triple-collinear splittings with massive particles
• Initial-Final and Initial-Initial antenna functions for real radiation at next-to-leading order
• Decomposition of Triple Collinear Splitting Functions
• Catani's generalization of collinear factorization breaking