Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917494960160768 |
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| author | Badger, Simon Becchetti, Matteo Brancaccio, Colomba Czakon, Michał Hartanto, Heribertus Bayu Poncelet, Rene Zoia, Simone |
| author_facet | Badger, Simon Becchetti, Matteo Brancaccio, Colomba Czakon, Michał Hartanto, Heribertus Bayu Poncelet, Rene Zoia, Simone |
| contents | We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations. We construct the colour- and spin-summed interference with the tree-level amplitudes and present a \texttt{C++} library suitable for immediate use in phenomenological studies. We present new techniques for the evaluation of the special functions through direct numerical integration of differential equations which perform well across the full physical phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC Badger, Simon Becchetti, Matteo Brancaccio, Colomba Czakon, Michał Hartanto, Heribertus Bayu Poncelet, Rene Zoia, Simone High Energy Physics - Phenomenology We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations. We construct the colour- and spin-summed interference with the tree-level amplitudes and present a \texttt{C++} library suitable for immediate use in phenomenological studies. We present new techniques for the evaluation of the special functions through direct numerical integration of differential equations which perform well across the full physical phase space. |
| title | Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2511.11424 |