Quantum Field Theory and the Standard Model by Schwartz M.D. z-lib.org · Problem 7.6

Feynman rules — Schwartz M.D. z-lib.org

Physics — QFT · derivative-coupling-cross-section

Problem

Use the Lagrangian

\mathcal{L} = -\frac{1}{2}\phi_1\Box\phi_1 - \frac{1}{2}\phi_2\Box\phi_2 + \frac{\lambda}{2}\phi_1(\partial_\mu\phi_2)(\partial^\mu\phi_2) + \frac{g}{2}\phi_1^2\phi_2 \tag{7.126}

to calculate the differential cross section

\frac{d\sigma}{d\Omega}(\phi_1\phi_2 \to \phi_1\phi_2) \tag{7.127}

at tree level.