We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized D-dimensional unitarity. It allows automated computations of both cut-constructible and rational parts of one-loop scattering amplitudes from on-shell tree amplitudes. We illustrate the method by (re)-computing all four-, five- and six-gluon scattering amplitudes in QCD at one-loop.
机构:
CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, FranceZhejiang Univ, Ctr Math Sci, Hangzhou, Zhejiang, Peoples R China
Britto, Ruth
Feng, Bo
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Zhejiang Univ, Ctr Math Sci, Hangzhou, Zhejiang, Peoples R China
Cent Univ Finance & Econ, China Inst Adv Study, Div Appl Math & Theoret Phys, Beijing 100081, Peoples R ChinaZhejiang Univ, Ctr Math Sci, Hangzhou, Zhejiang, Peoples R China