Towards two-loop QCD corrections to $ \mathbf{pp \to t \bar{t} j}$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913579732566016 |
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| author | Brancaccio, Colomba |
| author_facet | Brancaccio, Colomba |
| contents | I discuss the status of the computation of the two-loop QCD corrections to top-quark pair production associated with a jet at hadron colliders. This amplitude is a missing ingredient for next-to-next-to-leading order (NNLO) QCD predictions. I briefly present computational techniques to tackle the algebraic and analytic complexities of two-loop multi-scale amplitudes, in particular where massive propagators give rise to elliptic Feynman integrals. I then describe how a special function basis for the helicity amplitudes is obtained and present first numerical evaluations for the finite remainders of the $gg\to t\bar{t}g$ channel, after the infrared and ultraviolet poles have been identified analytically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10856 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards two-loop QCD corrections to $ \mathbf{pp \to t \bar{t} j}$ Brancaccio, Colomba High Energy Physics - Phenomenology I discuss the status of the computation of the two-loop QCD corrections to top-quark pair production associated with a jet at hadron colliders. This amplitude is a missing ingredient for next-to-next-to-leading order (NNLO) QCD predictions. I briefly present computational techniques to tackle the algebraic and analytic complexities of two-loop multi-scale amplitudes, in particular where massive propagators give rise to elliptic Feynman integrals. I then describe how a special function basis for the helicity amplitudes is obtained and present first numerical evaluations for the finite remainders of the $gg\to t\bar{t}g$ channel, after the infrared and ultraviolet poles have been identified analytically. |
| title | Towards two-loop QCD corrections to $ \mathbf{pp \to t \bar{t} j}$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.10856 |