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An analytic solution for the equal-mass banana graph
We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence su...
| Autores principales: | , , , , , |
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| Lenguaje: | eng |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/JHEP09(2019)112 http://cds.cern.ch/record/2682070 |
| _version_ | 1780963077854855168 |
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| author | Broedel, Johannes Duhr, Claude Dulat, Falko Marzucca, Robin Penante, Brenda Tancredi, Lorenzo |
| author_facet | Broedel, Johannes Duhr, Claude Dulat, Falko Marzucca, Robin Penante, Brenda Tancredi, Lorenzo |
| author_sort | Broedel, Johannes |
| collection | CERN |
| description | We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence subgroup as for the two-loop equal-mass sunrise graph. We also show how to write the results in terms of elliptic polylogarithms evaluated at rational points. |
| id | cern-2682070 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2019 |
| record_format | invenio |
| spelling | cern-26820702023-10-04T06:37:50Zdoi:10.1007/JHEP09(2019)112http://cds.cern.ch/record/2682070engBroedel, JohannesDuhr, ClaudeDulat, FalkoMarzucca, RobinPenante, BrendaTancredi, LorenzoAn analytic solution for the equal-mass banana graphhep-phParticle Physics - Phenomenologyhep-thParticle Physics - TheoryWe present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence subgroup as for the two-loop equal-mass sunrise graph. We also show how to write the results in terms of elliptic polylogarithms evaluated at rational points.arXiv:1907.03787CP3-19-34CERN-TH-2019-105HU-Mathematik-2019-04HU-EP-19/20, SLAC-PUB-17453HU-EP-19/20, SLAC-PUB-17453oai:cds.cern.ch:26820702019-07-08 |
| spellingShingle | hep-ph Particle Physics - Phenomenology hep-th Particle Physics - Theory Broedel, Johannes Duhr, Claude Dulat, Falko Marzucca, Robin Penante, Brenda Tancredi, Lorenzo An analytic solution for the equal-mass banana graph |
| title | An analytic solution for the equal-mass banana graph |
| title_full | An analytic solution for the equal-mass banana graph |
| title_fullStr | An analytic solution for the equal-mass banana graph |
| title_full_unstemmed | An analytic solution for the equal-mass banana graph |
| title_short | An analytic solution for the equal-mass banana graph |
| title_sort | analytic solution for the equal-mass banana graph |
| topic | hep-ph Particle Physics - Phenomenology hep-th Particle Physics - Theory |
| url | https://dx.doi.org/10.1007/JHEP09(2019)112 http://cds.cern.ch/record/2682070 |
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