diff --git a/notes/ibp.md b/notes/ibp.md index 34426a4..ee64830 100644 --- a/notes/ibp.md +++ b/notes/ibp.md @@ -22,8 +22,8 @@ We can write down the IBP identity \begin{align} 0 &= \int d^d q \frac{\partial}{\partial q^\mu} {\frac{q^\mu}{\rho_1^{\nu_1} \rho_2^{\nu_2}}} \\ &= \int d^d q \left[ \frac d {\rho_1^{\nu_1} \rho_2^{\nu_2}} - - \frac a {\rho_1^{\nu_1+1} \rho_2^{\nu_2}} \, q^\mu \frac{\partial}{\partial q^\mu} \rho_1 - - \frac b {\rho_1^{\nu_1} \rho_2^{\nu_2+1}} \, q^\mu \frac{\partial}{\partial q^\mu} \rho_2 + - \frac {\nu_1} {\rho_1^{\nu_1+1} \rho_2^{\nu_2}} \, q^\mu \frac{\partial}{\partial q^\mu} \rho_1 + - \frac {\nu_2} {\rho_1^{\nu_1} \rho_2^{\nu_2+1}} \, q^\mu \frac{\partial}{\partial q^\mu} \rho_2 \right] \end{align} Using Eqs. (2) and (3), we have