FeynCalc manual (development version)

B00

B00[pp, ma^2, mb^2] is the Passarino-Veltman B00B_{00}-function, i.e., the coefficient function of the metric tensor. All arguments are scalars and have dimension mass squared.

See also

Overview, B0, B1, PaVe.

Examples

B00[SPD[p], m^2, M^2]

(m22mM+M2p2)(m2+2mM+M2p2)  B0(p2,m2,M2)4(1D)p2+A0(M2)(m2M2p2)4(1D)p2A0(m2)(m2M2+p2)4(1D)p2\frac{\left(m^2-2 m M+M^2-p^2\right) \left(m^2+2 m M+M^2-p^2\right) \;\text{B}_0\left(p^2,m^2,M^2\right)}{4 (1-D) p^2}+\frac{\text{A}_0\left(M^2\right) \left(m^2-M^2-p^2\right)}{4 (1-D) p^2}-\frac{\text{A}_0\left(m^2\right) \left(m^2-M^2+p^2\right)}{4 (1-D) p^2}

B00[SPD[p], m^2, m^2]

(4m2p2)  B0(p2,m2,m2)4(1D)A0(m2)2(1D)-\frac{\left(4 m^2-p^2\right) \;\text{B}_0\left(p^2,m^2,m^2\right)}{4 (1-D)}-\frac{\text{A}_0\left(m^2\right)}{2 (1-D)}

B00[SPD[p], m^2, M^2, BReduce -> False]

B00(p2,m2,M2)\text{B}_{00}\left(p^2,m^2,M^2\right)

B00[0, m^2, m^2]

m2  B0(0,m2,m2)1DA0(m2)2(1D)-\frac{m^2 \;\text{B}_0\left(0,m^2,m^2\right)}{1-D}-\frac{\text{A}_0\left(m^2\right)}{2 (1-D)}

B00[SmallVariable[M^2], m^2, m^2]

m2  B0(M2,m2,m2)1DA0(m2)2(1D)-\frac{m^2 \;\text{B}_0\left(M^2,m^2,m^2\right)}{1-D}-\frac{\text{A}_0\left(m^2\right)}{2 (1-D)}