Two-Loop DGLAP Splitting Functions from Light Cone Perturbation Theory

6 May 2026, 17:50
20m
Sala IMPERIALE A, First Floor (Hotel Carlton)

Sala IMPERIALE A, First Floor

Hotel Carlton

Talk WG1 Structure Functions and Parton Densities WG1 Structure functions and parton densities

Speaker

Mikko Seppälä (University of Helsinki)

Description

We perform a two-loop calculation in Light Cone Perturbation Theory (LCPT) to evaluate the next-to-leading order nonsinglet splitting function. Our calculation demonstrates the methodology and feasibility of performing higher order calculations in LCPT. Since in Hamiltonian perturbation theory the longitudinal $k^+$ momentum is always positive, poles in $1/k^+$ can be regularized by a simple cutoff which cancels in physical results, without any associated ambiguities. For transverse momentum integrals we use dimensional regularization. Developing methods for loop calculations in LCPT paves the way for a systematical, automatizable procedure for precision calculations in this framework with a transparent physical partonic interpretation. This can provide a standard framework in higher order calculations in the gluon saturation regime of QCD.

Speaker confirmation Yes

Author

Mikko Seppälä (University of Helsinki)

Co-authors

Risto Paatelainen (University of Helsinki) Tuomas Lappi (University of Jyväskylä)

Presentation materials