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New Color Decompositions for Gauge Amplitudes at Tree and Loop Level

Technical Report ·
DOI:https://doi.org/10.2172/15092· OSTI ID:15092

Recently, a color decomposition using structure constants was introduced for purely gluonic tree amplitudes, in a compact form involving only the linearly independent subamplitudes. We give two proofs that this decomposition holds for an arbitrary number of gluons. We also present and prove similar decompositions at one loop, both for pure gluon amplitudes and for amplitudes with an external quark-antiquark pair.

Research Organization:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Organization:
USDOE Office of Energy Research (ER) (US)
DOE Contract Number:
AC03-76SF00515
OSTI ID:
15092
Report Number(s):
SLAC-PUB-8294
Country of Publication:
United States
Language:
English

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