D-dimensional unitarity cut ● 4-d spinor helicity formalism fails to capture the rational term in non-SUSY theories. A=-2 3+0@ D-dimensional unitarity uses the D-dimensional tree amplitude. A(e1,e2,3,e4)=-(1·e4)(e2·e3）+(e1·3)(e2·e4)-(e1·e2)(3·e4) 2te((-((e +22 more terms The polarization vector summing rule: ∑“e="-grp+gp helicities 9·piD-dimensional unitarity cut • 4-d spinor helicity formalism fails to capture the rational term in non-SUSY theories. • D-dimensional unitarity uses the D-dimensional tree amplitude. • The polarization vector summing rule: 9 A￾￾￾￾ = (2 ￾ 2✏)µ4 = 4 3 + O(✏) A(✏1, ✏2, ✏3, ✏4) = ￾ (✏1 · ✏4)(✏2 · ✏3)+(✏1 · ✏3)(✏2 · ✏4) ￾ (✏1 · ✏2)(✏3 · ✏4)) ￾ 2 s h 2t(✏1 · ✏2)(✏3 · ✏4)+(✏1 · p3)(✏2 · p1)(✏3 · ✏4) ￾ (✏1 · p2)(✏2 · p3)(✏3 · ✏4) i + 22 more terms X helicities " µ i "⌫ i = ⌘µ⌫ ￾ qµp⌫ i + q⌫pµ i q · pi