Standard Model and Beyond · Problem 2.34

Lie Groups, Lie Algebras, and Symmetries

Physics — Particle Physics · mu-to-e-gamma-decay-rate

Problem

Suppose that a new lepton-flavor violating interaction leads to the effective interaction

\mathcal{L}_{eff} = -i\frac{e}{2}F^{\mu\nu}\bar{e}\sigma_{\mu\nu}\left[A + B\gamma^5\right]\mu + h.c.,

where

A

and

B

are, respectively, magnetic and electric dipole transition moments. Calculate the decay rate for

\mu \to e\gamma

, neglecting

m_e