Two-Loop Five-Point One-Mass Amplitudes in the Spinor-Helicity Formalism
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929512810283008 |
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| author | De Laurentis, Giuseppe |
| author_facet | De Laurentis, Giuseppe |
| contents | Processes involving electroweak vector bosons in association with jets are crucial for precision studies of the Standard Model at the Large Hadron Collider. Accurate predictions for the process $pp\rightarrow V(\rightarrow\bar\ell\ell)jj$ at next-to-next-to-leading order (NNLO), as well as N$^3$LO ones for the process with one fewer jet, require two-loop five-point one-mass amplitudes. These exhibit a significant increase in complexity compared to their massless counterparts. We present results for the partonic processes $\bar qQ\bar Qq\bar\ell\ell$ and $\bar qggq\bar\ell\ell$, with a forthcoming package for phenomenology. The present recalculation is based on the previous analytic results from ref. [1]. For the first time, we express two-loop five-point one-mass amplitudes in the spinor-helicity formalism. We achieve three orders of magnitude smaller expressions compared to previous results. This will facilitate phenomenological studies and help clarify mathematical properties of the amplitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15996 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-Loop Five-Point One-Mass Amplitudes in the Spinor-Helicity Formalism De Laurentis, Giuseppe High Energy Physics - Phenomenology Processes involving electroweak vector bosons in association with jets are crucial for precision studies of the Standard Model at the Large Hadron Collider. Accurate predictions for the process $pp\rightarrow V(\rightarrow\bar\ell\ell)jj$ at next-to-next-to-leading order (NNLO), as well as N$^3$LO ones for the process with one fewer jet, require two-loop five-point one-mass amplitudes. These exhibit a significant increase in complexity compared to their massless counterparts. We present results for the partonic processes $\bar qQ\bar Qq\bar\ell\ell$ and $\bar qggq\bar\ell\ell$, with a forthcoming package for phenomenology. The present recalculation is based on the previous analytic results from ref. [1]. For the first time, we express two-loop five-point one-mass amplitudes in the spinor-helicity formalism. We achieve three orders of magnitude smaller expressions compared to previous results. This will facilitate phenomenological studies and help clarify mathematical properties of the amplitude. |
| title | Two-Loop Five-Point One-Mass Amplitudes in the Spinor-Helicity Formalism |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.15996 |