Graviton Scattering Amplitudes in an Extended theory of gravity


These are the mathematica expressions of graviton scattering amplitudes

They are accompanying the articles
``Diagrammer in an extended theory of Gravity'' by David Dunbar, John Godwin, Guy Jehu and Warren Perkins,

M4(1)( 1+, 2+, 3+, 4+) ) M4(1)( 1-, 2+, 3+, 4+)
M5( 1+, 2+, 3+, 4+, 5+ ) M5( 1-, 2+, 3+, 4+, 5+ ) M5( 1-, 2-, 3+, 4+, 5+ )
M6( 1+, 2+, 3+, 4+, 5+, 6+ ) M6( 1-, 2+, 3+, 4+, 5+, 6+ ) M6( 1-, 2-, 3+, 4+, 5+, 6+ ) M6( 1-, 2-, 3-, 4+, 5+, 6+ )
M7( 1+, 2+, 3+, 4+, 5+, 6+ 7+ ) M7( 1-, 2+, 3+, 4+, 5+, 6+ 7+ ) M7( 1-, 2-, 3+, 4+, 5+, 6+ 7+ ) M7( 1-, 2-, 3-, 4+, 5+, 6+ 7+ )

The amplitudes are given as rational functions of lamv[x,i] and barlamv[x,i]. To reduce expression size we have not always expand s[a,b], spa[a,b] spb[a,b] and spba[a,{i,...j},b] where spa[a,b] =< a,b> and spb[a,b] =[a,b]
Last update 27th Feb 2017 . Any feedback/corections/suggestions is most welcome In no sense is any of this code claimed to be optimal !!!!

see also the six-gluon amplitude and the seven-gluon amplitude