FeynCalc manual (development version)

DB1

DB1[p2, m1^2, m2^2] is the derivative of B1[p2,m1^2,m2^2] with respect to p2.

See also

Overview, B1.

Examples

D[B1[Subscript[p, 2], Subscript[m, 1]^2, Subscript[m, 2]^2], Subscript[p, 2]]

(m12m22+p2)  B0(p2,m12,m22)2p22B0(p2,m12,m22)2p2(m12m22+p2)  DB0(p2,m12,m22)2p2A0(m12)2p22+A0(m22)2p22\frac{\left(m_1^2-m_2^2+p_2\right) \;\text{B}_0\left(p_2,m_1^2,m_2^2\right)}{2 p_2^2}-\frac{\text{B}_0\left(p_2,m_1^2,m_2^2\right)}{2 p_2}-\frac{\left(m_1^2-m_2^2+p_2\right) \;\text{DB0}\left(p_2,m_1^2,m_2^2\right)}{2 p_2}-\frac{\text{A}_0\left(m_1^2\right)}{2 p_2^2}+\frac{\text{A}_0\left(m_2^2\right)}{2 p_2^2}