Splitting amplitudes at N$^3$LO in QCD
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910557648453632 |
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| author | Guan, Xin Herzog, Franz Ma, Yao Mistlberger, Bernhard Suresh, Adi |
| author_facet | Guan, Xin Herzog, Franz Ma, Yao Mistlberger, Bernhard Suresh, Adi |
| contents | In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks -- known as splitting amplitudes -- for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at third loop order. To achieve our results, we perform a collinear expansion of three-loop scattering amplitudes using a new expansion-by-subgraph technology, which is based on the method of regions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03019 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Splitting amplitudes at N$^3$LO in QCD Guan, Xin Herzog, Franz Ma, Yao Mistlberger, Bernhard Suresh, Adi High Energy Physics - Phenomenology High Energy Physics - Theory In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks -- known as splitting amplitudes -- for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at third loop order. To achieve our results, we perform a collinear expansion of three-loop scattering amplitudes using a new expansion-by-subgraph technology, which is based on the method of regions. |
| title | Splitting amplitudes at N$^3$LO in QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.03019 |