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ns4glue - String Theory NS 4 Gluon Amplitude 1 2 2 duu p12...

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String Theory NS 4 Gluon Amplitude Z 1 0 duu α 0 p 2 12 - 1 (1 - u ) α 0 p 2 23 - 1 α 0 - p 2 12 1 · 4 2 · 3 - p 2 23 1 · 2 3 · 4 + 1 2 1 · 3 2 · 4 [ up 2 23 + (1 - u ) p 2 12 ] +2 1 · 2 [(1 - u ) p 2 · 4 p 1 · 3 - p 1 · 4 p 2 · 3 ] + 2 2 · 3 [ up 3 · 1 p 2 · 4 - p 2 · 1 p 3 · 4 ] +2 3 · 4 [(1 - u ) p 4 · 2 p 3 · 1 - p 3 · 2 p 4 · 1 ] + 2 1 · 4 [ up 1 · 3 p 4 · 2 - p 4 · 3 p 1 · 2 ] +2 1 · 3 [ u ( p 4 · 2 p 3 · 4 - p 2 · 4 p 3 · 2 ) + p 1 · 2 p 3 · 4 ] +2 2 · 4 [ u ( p 2 · 1 p 1 · 3 - p 3 · 1 p 2 · 3 ) + p 2 · 1 p 4 · 3 ] (1) Γ(1 + α 0 p 2 12 )Γ(1 + α 0 p 2 23 ) Γ(1 + α 0 ( p 2 12 + p 2 23 )) 1 · 3 2 · 4 - 1 · 4 2 · 3 - 1 · 2 3 · 4 + 1 p 2 12 - p 2 23 1 · 2 3 · 4 +2 1 · 2 ( p 2 · 4 p 1 · 3 - p 1 · 4 p 2 · 3 ) - 2 2 · 3 p 2 · 1 p 3 · 4 +2 3 · 4 ( p 4 · 2 p 3 · 1 - p 3 · 2 p 4 · 1 ) - 2 1 · 4 p 4 · 3 p 1 · 2 +2 1 · 3 p 1 · 2 p 3 · 4 + 2 2 · 4 p 2 · 1 p 4 · 3 + 1 p 2 23 - p 2 12 1 · 4 2 · 3 - 2 1 · 2 p
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