Feynman integrals: Synergies between particle physics and gravitational waves
Feynman integrals are essential for computing scattering amplitudes. Linear relations among these integrals, through Integral-By-Parts (IBP) identities, reduce them to a smaller set of independent integrals, known as master integrals (MIs). In twisted de-Rham cohomology, Feynman integrals form a vec...
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EDP Sciences
2024-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2024/24/epjconf_qcd@work2024_00029.pdf |
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| author | Mandal Manoj Kumar |
| author_facet | Mandal Manoj Kumar |
| author_sort | Mandal Manoj Kumar |
| collection | DOAJ |
| description | Feynman integrals are essential for computing scattering amplitudes. Linear relations among these integrals, through Integral-By-Parts (IBP) identities, reduce them to a smaller set of independent integrals, known as master integrals (MIs). In twisted de-Rham cohomology, Feynman integrals form a vector space with an inner product, called the intersection number, which simplifies this reduction process. These methods have been applied in particle physics and recently extended to gravitational wave physics, notably in modeling binary black hole mergers. This proceedings highlights the synergy between these fields, showcasing how advanced techniques from Feynman integrals enable high-precision results in both areas. |
| format | Article |
| id | doaj-art-f63a9aa6b4d64b98b2b327de4a2d0b8b |
| institution | Kabale University |
| issn | 2100-014X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj-art-f63a9aa6b4d64b98b2b327de4a2d0b8b2024-12-13T10:02:02ZengEDP SciencesEPJ Web of Conferences2100-014X2024-01-013140002910.1051/epjconf/202431400029epjconf_qcd@work2024_00029Feynman integrals: Synergies between particle physics and gravitational wavesMandal Manoj Kumar0Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova, and INFN, Sezione di PadovaFeynman integrals are essential for computing scattering amplitudes. Linear relations among these integrals, through Integral-By-Parts (IBP) identities, reduce them to a smaller set of independent integrals, known as master integrals (MIs). In twisted de-Rham cohomology, Feynman integrals form a vector space with an inner product, called the intersection number, which simplifies this reduction process. These methods have been applied in particle physics and recently extended to gravitational wave physics, notably in modeling binary black hole mergers. This proceedings highlights the synergy between these fields, showcasing how advanced techniques from Feynman integrals enable high-precision results in both areas.https://www.epj-conferences.org/articles/epjconf/pdf/2024/24/epjconf_qcd@work2024_00029.pdf |
| spellingShingle | Mandal Manoj Kumar Feynman integrals: Synergies between particle physics and gravitational waves EPJ Web of Conferences |
| title | Feynman integrals: Synergies between particle physics and gravitational waves |
| title_full | Feynman integrals: Synergies between particle physics and gravitational waves |
| title_fullStr | Feynman integrals: Synergies between particle physics and gravitational waves |
| title_full_unstemmed | Feynman integrals: Synergies between particle physics and gravitational waves |
| title_short | Feynman integrals: Synergies between particle physics and gravitational waves |
| title_sort | feynman integrals synergies between particle physics and gravitational waves |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2024/24/epjconf_qcd@work2024_00029.pdf |
| work_keys_str_mv | AT mandalmanojkumar feynmanintegralssynergiesbetweenparticlephysicsandgravitationalwaves |