Advances towards the systematization of calculations with Implicit Regularization
Abstract There is currently a high demand for theoretical predictions for processes at next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount of data which has already been collected at LHC. This requires practical methods that meet the physical requirements of the models un...
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| Materiálatiipa: | Artihkal |
| Giella: | English |
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SpringerOpen
2022-07-01
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| Ráidu: | European Physical Journal C: Particles and Fields |
| Liŋkkat: | https://doi.org/10.1140/epjc/s10052-022-10535-2 |
| _version_ | 1828760116306903040 |
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| author | B. Z. Felippe A. P. Baêta Scarpelli A. R. Vieira J. C. C. Felipe |
| author_facet | B. Z. Felippe A. P. Baêta Scarpelli A. R. Vieira J. C. C. Felipe |
| author_sort | B. Z. Felippe |
| collection | DOAJ |
| description | Abstract There is currently a high demand for theoretical predictions for processes at next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount of data which has already been collected at LHC. This requires practical methods that meet the physical requirements of the models under study. We develop a new procedure for applying Constrained Implicit Regularization which simplifies the calculation of amplitudes, including finite parts. The algebraic identities to separate the divergent parts free from the external momenta are used after the Feynman parametrization. These algebraic identities establish a set of scale relations which are always the same and do not need to be calculated in each situation. This procedure unifies the calculations in massive and non-massive models in an unique procedure. We establish a systematization of the calculation of one-loop amplitudes and extend the procedure for higher-loop orders. |
| first_indexed | 2024-12-11T01:09:01Z |
| format | Article |
| id | doaj.art-c2e6ca1e744f4bccac66ee804e8b827d |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-12-11T01:09:01Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c2e6ca1e744f4bccac66ee804e8b827d2022-12-22T01:26:06ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-07-0182711910.1140/epjc/s10052-022-10535-2Advances towards the systematization of calculations with Implicit RegularizationB. Z. Felippe0A. P. Baêta Scarpelli1A. R. Vieira2J. C. C. Felipe3Centro Federal de Educação Tecnológica-MGCentro Federal de Educação Tecnológica-MGUniversidade Federal do Triângulo Mineiro, Campus IturamaInstituto de Engenharia, Ciência e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e MucuriAbstract There is currently a high demand for theoretical predictions for processes at next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount of data which has already been collected at LHC. This requires practical methods that meet the physical requirements of the models under study. We develop a new procedure for applying Constrained Implicit Regularization which simplifies the calculation of amplitudes, including finite parts. The algebraic identities to separate the divergent parts free from the external momenta are used after the Feynman parametrization. These algebraic identities establish a set of scale relations which are always the same and do not need to be calculated in each situation. This procedure unifies the calculations in massive and non-massive models in an unique procedure. We establish a systematization of the calculation of one-loop amplitudes and extend the procedure for higher-loop orders.https://doi.org/10.1140/epjc/s10052-022-10535-2 |
| spellingShingle | B. Z. Felippe A. P. Baêta Scarpelli A. R. Vieira J. C. C. Felipe Advances towards the systematization of calculations with Implicit Regularization European Physical Journal C: Particles and Fields |
| title | Advances towards the systematization of calculations with Implicit Regularization |
| title_full | Advances towards the systematization of calculations with Implicit Regularization |
| title_fullStr | Advances towards the systematization of calculations with Implicit Regularization |
| title_full_unstemmed | Advances towards the systematization of calculations with Implicit Regularization |
| title_short | Advances towards the systematization of calculations with Implicit Regularization |
| title_sort | advances towards the systematization of calculations with implicit regularization |
| url | https://doi.org/10.1140/epjc/s10052-022-10535-2 |
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