A new method for calculating the soft anomalous dimension matrix for massive particle scattering
Abstract The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art two-loop result has a tantalizingly simple structure...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2024)117 |
| _version_ | 1797199663168749568 |
|---|---|
| author | Johannes Henn Calum Milloy Kai Yan |
| author_facet | Johannes Henn Calum Milloy Kai Yan |
| author_sort | Johannes Henn |
| collection | DOAJ |
| description | Abstract The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art two-loop result has a tantalizingly simple structure that is not manifest in the calculations. We argue that the complexity in intermediate steps of the known calculations comes from spurious, regulator-dependent terms. Based on this insight we propose a different infrared regulator that is associated to only one of the Wilson lines. We demonstrate that this streamlines obtaining the two-loop result: computing the required Feynman integrals via the differential equations method, only multiple polylogarithmic functions appear (to all orders in the dimensional regulator), as opposed to elliptic polylogarithms. We show that the new method is promising for higher-loop applications by computing a three-loop diagram of genuine complexity, and provide the answer in terms of multiple polylogarithms. The relatively simple symbol alphabet we obtain may be of interest for bootstrap approaches. |
| first_indexed | 2024-04-24T07:19:20Z |
| format | Article |
| id | doaj.art-31823ce64c884990bd2b4cfe855575a7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:20Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-31823ce64c884990bd2b4cfe855575a72024-04-21T11:07:02ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024412510.1007/JHEP04(2024)117A new method for calculating the soft anomalous dimension matrix for massive particle scatteringJohannes Henn0Calum Milloy1Kai Yan2Max-Planck-Institut für Physik, Werner-Heisenberg-InstitutDipartimento di Fisica and Arnold-Regge Center, Università di Torino and INFN, Sezione di TorinoINPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityAbstract The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art two-loop result has a tantalizingly simple structure that is not manifest in the calculations. We argue that the complexity in intermediate steps of the known calculations comes from spurious, regulator-dependent terms. Based on this insight we propose a different infrared regulator that is associated to only one of the Wilson lines. We demonstrate that this streamlines obtaining the two-loop result: computing the required Feynman integrals via the differential equations method, only multiple polylogarithmic functions appear (to all orders in the dimensional regulator), as opposed to elliptic polylogarithms. We show that the new method is promising for higher-loop applications by computing a three-loop diagram of genuine complexity, and provide the answer in terms of multiple polylogarithms. The relatively simple symbol alphabet we obtain may be of interest for bootstrap approaches.https://doi.org/10.1007/JHEP04(2024)117FactorizationRenormalization GroupScattering AmplitudesWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Johannes Henn Calum Milloy Kai Yan A new method for calculating the soft anomalous dimension matrix for massive particle scattering Journal of High Energy Physics Factorization Renormalization Group Scattering Amplitudes Wilson, ’t Hooft and Polyakov loops |
| title | A new method for calculating the soft anomalous dimension matrix for massive particle scattering |
| title_full | A new method for calculating the soft anomalous dimension matrix for massive particle scattering |
| title_fullStr | A new method for calculating the soft anomalous dimension matrix for massive particle scattering |
| title_full_unstemmed | A new method for calculating the soft anomalous dimension matrix for massive particle scattering |
| title_short | A new method for calculating the soft anomalous dimension matrix for massive particle scattering |
| title_sort | new method for calculating the soft anomalous dimension matrix for massive particle scattering |
| topic | Factorization Renormalization Group Scattering Amplitudes Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP04(2024)117 |
| work_keys_str_mv | AT johanneshenn anewmethodforcalculatingthesoftanomalousdimensionmatrixformassiveparticlescattering AT calummilloy anewmethodforcalculatingthesoftanomalousdimensionmatrixformassiveparticlescattering AT kaiyan anewmethodforcalculatingthesoftanomalousdimensionmatrixformassiveparticlescattering AT johanneshenn newmethodforcalculatingthesoftanomalousdimensionmatrixformassiveparticlescattering AT calummilloy newmethodforcalculatingthesoftanomalousdimensionmatrixformassiveparticlescattering AT kaiyan newmethodforcalculatingthesoftanomalousdimensionmatrixformassiveparticlescattering |