Standard Model and Beyond · Problem 2.31

Lie Groups, Lie Algebras, and Symmetries

Physics — Particle Physics · charge-violating-electron-neutrino-coupling

Problem

Suppose there is a small electric charge-violating coupling between the electron and a massless left-chiral neutrino νL\nu_L, with Leν=−δeAμψˉνLγμψe+h.c.\mathcal{L}_{e\nu} = -\delta e A_\mu \bar{\psi}_{\nu_L}\gamma^\mu\psi_e + h.c. Calculate the lifetime for e−→νLγe^- \to \nu_L\gamma, and find the value of δ\delta corresponding to the limit in Table 2.3.

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