New approach for amplitudes with multiple fermion lines |
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| Authors: | Feng Zhang Bin Gong Jian-Xiong Wang |
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| Affiliation: | 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China2. University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | A new approach for tree-level amplitudes with multiple fermion lines is presented. It primarily focuses on the simplification of fermion lines. By calculating two vectors recursively without any matrix multiplications, the result of a fermion line is reduced to a very compact form depending only on the two vectors. Comparisons with other packages are presented, and the results show that our package FDC provides a very good performance in the processes of multiple fermion lines with this new approach and some other improvements. A further comparison with WHIZARD shows that this new approach has a competitive efficiency in computing pure amplitude squares without phase space integration. |
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| Keywords: | multi-particle process scattering amplitude fermion line tree level |
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