dorsal/arxiv
View SchemaTwo-Loop DGLAP Splitting Functions from Light Cone Perturbation Theory
| Authors | Tuomas Lappi, Risto Paatelainen, Mikko Seppälä |
|---|---|
| Categories | |
| ArXiv ID | 2601.10374vv1 |
| URL | https://arxiv.org/abs/2601.10374 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
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.
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"abstract": "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.",
"arxiv_id": "2601.10374",
"authors": [
"Tuomas Lappi",
"Risto Paatelainen",
"Mikko Sepp\u00e4l\u00e4"
],
"categories": [
"hep-ph",
"nucl-th"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Two-Loop DGLAP Splitting Functions from Light Cone Perturbation Theory",
"url": "https://arxiv.org/abs/2601.10374",
"version": "v1"
},
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