Two-Loop DGLAP Splitting Functions from Light Cone Perturbation Theory
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914257419894784 |
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| author | Lappi, Tuomas Paatelainen, Risto Seppälä, Mikko |
| author_facet | Lappi, Tuomas Paatelainen, Risto Seppälä, Mikko |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_10374 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-Loop DGLAP Splitting Functions from Light Cone Perturbation Theory Lappi, Tuomas Paatelainen, Risto Seppälä, Mikko High Energy Physics - Phenomenology Nuclear Theory 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. |
| title | Two-Loop DGLAP Splitting Functions from Light Cone Perturbation Theory |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2601.10374 |