On the numerical evaluation of one-loop amplitudes: The gluonic case
We develop an algorithm of polynomial complexity for evaluating one-loop amplitudes with an arbitrary number of external particles. The algorithm is implemented in the Rocket program. Starting from particle vertices given by Feynman rules, tree amplitudes are constructed using recursive relations. T...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2008
|
| _version_ | 1797067340007866368 |
|---|---|
| author | Giele, W Zanderighi, G |
| author_facet | Giele, W Zanderighi, G |
| author_sort | Giele, W |
| collection | OXFORD |
| description | We develop an algorithm of polynomial complexity for evaluating one-loop amplitudes with an arbitrary number of external particles. The algorithm is implemented in the Rocket program. Starting from particle vertices given by Feynman rules, tree amplitudes are constructed using recursive relations. The tree amplitudes are then used to build one-loop amplitudes using an integer dimension on-shell cut method. As a first application we considered only three and four gluon vertices calculating the pure gluonic one-loop amplitudes for arbitrary external helicity or polarization states. We compare our numerical results to analytical results in the literature, analyze the time behavior of the algorithm and the accuracy of the results, and give explicit results for fixed phase space points for up to twenty external gluons. |
| first_indexed | 2024-03-06T21:54:52Z |
| format | Journal article |
| id | oxford-uuid:4c90bb3d-ce89-471b-b16e-85f92857fc95 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:54:52Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:4c90bb3d-ce89-471b-b16e-85f92857fc952022-03-26T15:50:11ZOn the numerical evaluation of one-loop amplitudes: The gluonic caseJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4c90bb3d-ce89-471b-b16e-85f92857fc95EnglishSymplectic Elements at Oxford2008Giele, WZanderighi, GWe develop an algorithm of polynomial complexity for evaluating one-loop amplitudes with an arbitrary number of external particles. The algorithm is implemented in the Rocket program. Starting from particle vertices given by Feynman rules, tree amplitudes are constructed using recursive relations. The tree amplitudes are then used to build one-loop amplitudes using an integer dimension on-shell cut method. As a first application we considered only three and four gluon vertices calculating the pure gluonic one-loop amplitudes for arbitrary external helicity or polarization states. We compare our numerical results to analytical results in the literature, analyze the time behavior of the algorithm and the accuracy of the results, and give explicit results for fixed phase space points for up to twenty external gluons. |
| spellingShingle | Giele, W Zanderighi, G On the numerical evaluation of one-loop amplitudes: The gluonic case |
| title | On the numerical evaluation of one-loop amplitudes: The gluonic case |
| title_full | On the numerical evaluation of one-loop amplitudes: The gluonic case |
| title_fullStr | On the numerical evaluation of one-loop amplitudes: The gluonic case |
| title_full_unstemmed | On the numerical evaluation of one-loop amplitudes: The gluonic case |
| title_short | On the numerical evaluation of one-loop amplitudes: The gluonic case |
| title_sort | on the numerical evaluation of one loop amplitudes the gluonic case |
| work_keys_str_mv | AT gielew onthenumericalevaluationofoneloopamplitudesthegluoniccase AT zanderighig onthenumericalevaluationofoneloopamplitudesthegluoniccase |