The matrix element for the decay process \(\pi \to \mu + \nu\) is given by
\[ m_{fi} =\frac{g}{\surd 2} \bar{u}^{(r)}(p) (\gamma_\mu iQ_\mu) (1-\gamma_5)v^{(s)}(k)\] for the life time computation we need to take absolute square, to average over initial spin and sum over final spin states. You may assume neutrino to be have a mass \(m_\nu\) and take limit
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