FeynCalc manual (development version)

PaVe

PaVe[i, j, ..., {p10, p12, ...}, {m1^2, mw^2, ...}] denotes the invariant (and scalar) Passarino-Veltman integrals, i.e. the coefficient functions of the tensor integral decomposition. Joining plist and mlist gives the same conventions as for A0, B0, C0, D0. Automatic simplifications are performed for the coefficient functions of two-point integrals and for the scalar integrals.

See also

Overview, PaVeReduce.

Examples

Some of the PaVe’s reduce to special cases with PaVeAutoReduceto True

PaVe[0, 0, {pp}, {m^2, M^2}, PaVeAutoReduce -> True]

\frac{\left(m^2-2 m M+M^2-\text{pp}\right) \left(m^2+2 m M+M^2-\text{pp}\right) \;\text{B}_0\left(\text{pp},m^2,M^2\right)}{4 (1-D) \;\text{pp}}-\frac{\text{A}_0\left(m^2\right) \left(m^2-M^2+\text{pp}\right)}{4 (1-D) \;\text{pp}}+\frac{\text{A}_0\left(M^2\right) \left(m^2-M^2-\text{pp}\right)}{4 (1-D) \;\text{pp}}