Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
Abstract We compute all master integrals for massless three-loop four-particle scattering amplitudes required for processes like di-jet or di-photon production at the LHC. We present our result in terms of a Laurent expansion of the integrals in the dimensional regulator up to 8th power, with coe...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131705 |
| _version_ | 1826207049277505536 |
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| author | Henn, Johannes Mistlberger, Bernhard Smirnov, Vladimir A Wasser, Pascal |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Henn, Johannes Mistlberger, Bernhard Smirnov, Vladimir A Wasser, Pascal |
| author_sort | Henn, Johannes |
| collection | MIT |
| description | Abstract
We compute all master integrals for massless three-loop four-particle scattering amplitudes required for processes like di-jet or di-photon production at the LHC. We present our result in terms of a Laurent expansion of the integrals in the dimensional regulator up to 8th power, with coefficients expressed in terms of harmonic polylogarithms. As a basis of master integrals we choose integrals with integrands that only have logarithmic poles — called dlog forms. This choice greatly facilitates the subsequent computation via the method of differential equations. We detail how this basis is obtained via an improved algorithm originally developed by one of the authors. We provide a public implementation of this algorithm. We explain how the algorithm is naturally applied in the context of unitarity. In addition, we classify our dlog forms according to their soft and collinear properties. |
| first_indexed | 2024-09-23T13:42:42Z |
| format | Article |
| id | mit-1721.1/131705 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:42:42Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1317052023-09-13T17:37:01Z Constructing d-log integrands and computing master integrals for three-loop four-particle scattering Henn, Johannes Mistlberger, Bernhard Smirnov, Vladimir A Wasser, Pascal Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We compute all master integrals for massless three-loop four-particle scattering amplitudes required for processes like di-jet or di-photon production at the LHC. We present our result in terms of a Laurent expansion of the integrals in the dimensional regulator up to 8th power, with coefficients expressed in terms of harmonic polylogarithms. As a basis of master integrals we choose integrals with integrands that only have logarithmic poles — called dlog forms. This choice greatly facilitates the subsequent computation via the method of differential equations. We detail how this basis is obtained via an improved algorithm originally developed by one of the authors. We provide a public implementation of this algorithm. We explain how the algorithm is naturally applied in the context of unitarity. In addition, we classify our dlog forms according to their soft and collinear properties. 2021-09-20T17:29:48Z 2021-09-20T17:29:48Z 2020-04-24 2020-06-26T13:22:04Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131705 Journal of High Energy Physics. 2020 Apr 24;2020(4):167 PUBLISHER_CC en https://doi.org/10.1007/JHEP04(2020)167 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Henn, Johannes Mistlberger, Bernhard Smirnov, Vladimir A Wasser, Pascal Constructing d-log integrands and computing master integrals for three-loop four-particle scattering |
| title | Constructing d-log integrands and computing master integrals for three-loop four-particle scattering |
| title_full | Constructing d-log integrands and computing master integrals for three-loop four-particle scattering |
| title_fullStr | Constructing d-log integrands and computing master integrals for three-loop four-particle scattering |
| title_full_unstemmed | Constructing d-log integrands and computing master integrals for three-loop four-particle scattering |
| title_short | Constructing d-log integrands and computing master integrals for three-loop four-particle scattering |
| title_sort | constructing d log integrands and computing master integrals for three loop four particle scattering |
| url | https://hdl.handle.net/1721.1/131705 |
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