Loop Tree Duality with generalized propagator powers: numerical UV subtraction for two-loop Feynman integrals
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917767228162048 |
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| author | Artico, Daniele |
| author_facet | Artico, Daniele |
| contents | An explicit Loop Tree Duality (LTD) formula for two-loop Feynman integrals with integer power of propagators is presented and used for a numerical UV divergence subtraction algorithm. This algorithm proceeds recursively and it is based on the $\mathcal{R}$ operator and the Hopf algebraic structure of UV divergences. After a short review of LTD and the numerical evaluation of multi-loop integrals, LTD is extended to two-loop integrals with generalized powers of propagators. The $\mathcal{R}$ operator and the tadpole UV subtraction are employed for the numerical calculation of two-loop UV divergent integrals, including the case of quadratic divergences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01313 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loop Tree Duality with generalized propagator powers: numerical UV subtraction for two-loop Feynman integrals Artico, Daniele High Energy Physics - Phenomenology Mathematical Physics An explicit Loop Tree Duality (LTD) formula for two-loop Feynman integrals with integer power of propagators is presented and used for a numerical UV divergence subtraction algorithm. This algorithm proceeds recursively and it is based on the $\mathcal{R}$ operator and the Hopf algebraic structure of UV divergences. After a short review of LTD and the numerical evaluation of multi-loop integrals, LTD is extended to two-loop integrals with generalized powers of propagators. The $\mathcal{R}$ operator and the tadpole UV subtraction are employed for the numerical calculation of two-loop UV divergent integrals, including the case of quadratic divergences. |
| title | Loop Tree Duality with generalized propagator powers: numerical UV subtraction for two-loop Feynman integrals |
| topic | High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2409.01313 |