An Introduction To Quantum Field Theory - M. Peskin, D. Schroeder (Perseus, 1995) · Problem 21.3

Quantization of Spontaneously Broken Gauge Theories — M. Peskin, D. Schroeder (Perseus, 1995)

Physics — QFT · electroweak-gauge-boson-production

Problem

**21.3 Cross section for duˉ→W−γd\bar{u} \to W^-\gamma.** Compute the amplitudes for duˉ→W−γd\bar{u} \to W^-\gamma for the various possible initial and final helicities. Ignore the quark masses. In this approximation, only the annihilation amplitude from dLuˉRd_L \bar{u}_R is nonzero. Show that the scattering amplitudes for all final helicity combinations vanish at cos⁡θ=−1/3\cos\theta = -1/3, where θ\theta is the scattering angle in the center-of-mass system. Compute the differential cross section as a function of cos⁡θ\cos\theta.

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