Transverse momentum Resummation and Analytic continuation into the Deep Infrared
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909776260104192 |
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| author | Simonelli, Andrea |
| author_facet | Simonelli, Andrea |
| contents | Extracting information on the three-dimensional structure of hadrons from transverse-momentum data is a challenging task, requiring the separation of perturbative contributions under QCD control from genuinely non-perturbative effects, unavoidably affected by phenomenological bias. Standard approaches model transverse-momentum-dependent (TMD) observables in impact-parameter space and compare them with data after Fourier inversion, generating an interplay between perturbative terms, non-perturbative models, and prescriptions used to extend perturbation theory beyond its natural domain. In this work, a consistent methodology to perform the Fourier inversion analytically is proposed, achieving a solid resummation of TMD parton distributions and cross sections directly in transverse-momentum space. The resummation is carried out to next-to-leading logarithmic (NLL) accuracy, validated against alternative prescriptions, and tested on experimental data. This framework provides a systematic procedure to analytically continue observables into the deep infrared, identifying two primary sources of non-perturbative effects: the low energy behavior of the strong coupling and of the parton distribution functions. This points to a paradigm shift in TMD phenomenology, where the structure of hadrons emerges from the dynamics of QCD itself rather than from flexible parametrizations with only indirect physical interpretation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06843 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transverse momentum Resummation and Analytic continuation into the Deep Infrared Simonelli, Andrea High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Extracting information on the three-dimensional structure of hadrons from transverse-momentum data is a challenging task, requiring the separation of perturbative contributions under QCD control from genuinely non-perturbative effects, unavoidably affected by phenomenological bias. Standard approaches model transverse-momentum-dependent (TMD) observables in impact-parameter space and compare them with data after Fourier inversion, generating an interplay between perturbative terms, non-perturbative models, and prescriptions used to extend perturbation theory beyond its natural domain. In this work, a consistent methodology to perform the Fourier inversion analytically is proposed, achieving a solid resummation of TMD parton distributions and cross sections directly in transverse-momentum space. The resummation is carried out to next-to-leading logarithmic (NLL) accuracy, validated against alternative prescriptions, and tested on experimental data. This framework provides a systematic procedure to analytically continue observables into the deep infrared, identifying two primary sources of non-perturbative effects: the low energy behavior of the strong coupling and of the parton distribution functions. This points to a paradigm shift in TMD phenomenology, where the structure of hadrons emerges from the dynamics of QCD itself rather than from flexible parametrizations with only indirect physical interpretation. |
| title | Transverse momentum Resummation and Analytic continuation into the Deep Infrared |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.06843 |