SPLRD[p,q,n,nb] denotes the perpendicular component in
the lightcone decomposition of the scalar product p \cdot q along the vectors n
and nb. It corresponds to (p
\cdot q)_{\perp}.
If one omits n and nb, the program will use
default vectors specified via $FCDefaultLightconeVectorN
and $FCDefaultLightconeVectorNB.
Overview, Pair, FVLND, FVLPD, FVLRD, SPLPD, SPLND, MTLPD, MTLND, MTLRD.
SPLRD[p, q, n, nb]p\cdot q_{\perp }
StandardForm[SPLRD[p, q, n, nb] // FCI]
(*Pair[LightConePerpendicularComponent[Momentum[p, D], Momentum[n, D], Momentum[nb, D]], LightConePerpendicularComponent[Momentum[q, D], Momentum[n, D], Momentum[nb, D]]]*)Notice that the properties of n and nb
vectors have to be set by hand before doing the actual computation
SPLRD[p1 + p2, q1 + q2, n, nb] // FCI // ExpandScalarProduct\text{p1}\cdot \;\text{q1}_{\perp }+\text{p1}\cdot \;\text{q2}_{\perp }+\text{p2}\cdot \;\text{q1}_{\perp }+\text{p2}\cdot \;\text{q2}_{\perp }
SPLRD[p1 + p2 + n, q, n, nb] // FCI // ExpandScalarProduct\text{p1}\cdot q_{\perp }+\text{p2}\cdot q_{\perp }