Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909894510116864 |
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| author | Haindl, Rayan |
| author_facet | Haindl, Rayan |
| contents | We extend a local subtraction framework to three-loop QCD corrections for the production of multiple electroweak bosons in quark-antiquark annihilation. We derive two-loop Ward identities that ensure the factorisation of most collinear singularities from the hard-scattering process in the sum over integrands. Infrared and ultraviolet singularities are removed point-by-point in loop momentum space using a minimal set of counterterms, which can be integrated analytically in terms of known master integrals. Additional counterterms eliminate non-factorising terms arising from loop momentum shifts and one-loop corrections to the gluon three-point function. We identify previously unknown non-factorising loop polarisation effects in the single-collinear regions, which pose challenges for local integrability and require further investigation. The techniques presented here are a first crucial step in formulating a systematic approach for constructing finite integrands for general electroweak amplitudes at three-loop order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation Haindl, Rayan High Energy Physics - Phenomenology We extend a local subtraction framework to three-loop QCD corrections for the production of multiple electroweak bosons in quark-antiquark annihilation. We derive two-loop Ward identities that ensure the factorisation of most collinear singularities from the hard-scattering process in the sum over integrands. Infrared and ultraviolet singularities are removed point-by-point in loop momentum space using a minimal set of counterterms, which can be integrated analytically in terms of known master integrals. Additional counterterms eliminate non-factorising terms arising from loop momentum shifts and one-loop corrections to the gluon three-point function. We identify previously unknown non-factorising loop polarisation effects in the single-collinear regions, which pose challenges for local integrability and require further investigation. The techniques presented here are a first crucial step in formulating a systematic approach for constructing finite integrands for general electroweak amplitudes at three-loop order. |
| title | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.00572 |